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Recently Asked Electromagnetic Field Questions

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Q1:1. A hollow box (with sides of length a = 0.46 m, b = 0.56 m and c = 0.66 m) consists of 4 metal plates, which are welded together and grounded. The top and bottom of the box are made of separate sheets of metal, insulated from the others, and held at a constant potential V1 = 20 V and V2 =50 V. (i) Derive an expression for the electrostatic potential inside the box. (ii) What should the potential at the (a/2, b/2, c/2) be? (iii) Derive expressions for the charge densities at (a/2, b/2,0), (a/2,b/2,c), and (0,b/2,c/2). The permittivity of vacuum is equal to Eo = 8.8542 x 10-12 C2 /N . m2. Z C V = V2 V = 0 7 V = V1 b y a xSee Answer
Q2:8. A receiver subsystem has a noise figure of 6 dB, a 1 dB compression point of 21 dBm (referenced to output), a gain of 30 dB, and a third-order intercept point of 33 dBm (referenced to output). If the subsystem is fed with a noise source with N₁ = -105 dBm, and the desired output SNR is 8 dB, find the linear and spurious free dynamic ranges of the subsystem. Assume a system bandwidth of 20 MHz. 10+10=20See Answer
Q3:7. A lossy line at temperature T Kelvin feeds an amplifier with noise figure F, as shown below. If an impedance mismatch is defined by voltage reflection coefficient, I' is present at the input of the amplifier, find the overall noise figure of the system. 10 Zo, L. T G, F Figure 4: Figure for problem 7.See Answer
Q4:6. Consider the wireless local area network receiver front-end shown below, where the bandwidth of the bandpass filter is 150 MHz, centered at 2.4 GHz. If the system is at 290K, find the noise figure of the overall system. What is the output SNR if the input signal level is -85 dBm? Can the components be re- arranged to yield a better noise figure? 5+5+5=15 L=1.5dB G=10dB f = 2dB G=15dB f=2 dB Figure 3: Figure for problem 6.See Answer
Q5:3. A reciprocal two-port network with its ABCD matrix is shown below at left. Prove that the network with ports 1 and 2 in reversed positions has the ABCD matrix shown below at right. 10 Port 1 A B 2 Port Port 2 D B A Figure 2: Figure for problem 3. PortSee Answer
Q6:2. Consider the transmission line circuit below. Using a Smith Chart (https://mtt.org/app/uploads/ 2023/11/SmithChart-Z-1.pdf), find the following: Zin⇒ 1=0.3A Zo=7592 Figure 1: Figure for problem 2. (a) the VSWR on the line. (b) the load admittance, Yo- (c) the current reflection coefficient at load, I'LL (d) the input impedance, Zin- (e) the distance from the load to the first voltage minimum. 2+2+2+2+2=10 ZLZL 30-120 12See Answer
Q7:1. In a lossless non-magnetic medium (e, = 4.5, µ, = 1), a uniform plane wave propagates at 40 MHz and 5+5+3+3+3+1=20 is defined as, E = 8 cos(wt-3z)a₂-6 sin(wt-3z)ā, V/m. Determine: (a) É in phasor form. (b) ♬ in instantaneous form using Maxwell's equation(s) (and not using any derived equation). (c) B. (d) A. (e) Up. (f) Direction of wave propagation.See Answer
Q8: (6%) Problem 1: Please answer the following questions about magnetic fields. ▷ A 33% Part (a) Which of the following statements about magnetic fields are true? There are no magnetic field lines outside the magnet. Magnetic field lines point outward from the north pole of a magnet. There are no magnetic field lines unless iron filings are present. Magnetic field lines point outward from the south pole of a magnet. None of these. Magnetic field lines point in towards the north pole of a magnet. Submit Hint I give up! Feedback: 0% deduction per feedback. Feedback Hints: 0% deduction per hint. Hints remaining: 3 A 33% Part (b) What is an acceptable ending to the following sentence: "Magnetic field lines..." 33% Part (c) Which of the following arrangements produces an attractive force? ab2phy ab2ph (8%) Problem 2: A wire of length L=0.35 m and mass m = 0.055 kg carries a current of I=0.45 A. The wire is floating at rest in a magnetic field as shown in the figure. Randomized Variables L=0.35 m m = 0.055 kg 1=0.45 A -25% Part (a) What are the forces acting on the wire, and which directions do they go? Magnetic force, downward. Gravity, downward. Gravity, downward. Magnetic force, upward. Magnetic force, upward. Gravity, upward. Gravity, upward. Magnetic force, downward. Hints: 0% deduction per hint. Hints remaining: 1 Submit Hint Feedback I give up! Feedback: 0% deduction per feedback. B X X X X X X X I X X X X X 25% Part (b) Express the magnitude of the magnetic force in terms of the current I, length L and the magnetic field B. 25% Part (c) Given the fact that the wire is floating at rest, derive an expression for B. 25% Part (d) Calculate the numerical value of B in tesla. X X X X X X X X X X X X X X X X Otheexpertta.com Grade Summary Deductions Potential 100% Submissions Attempts remaining: (33% per attempt) detailed view vate (11%) Problem 3: Consider the magnetic fields and currents depicted in the figure. 17% Part (a) What is the direction of the magnetic force on the current in (a)? no force into the page left right up down Hints: 0% deduction per hint. Hints remaining: 2 Submit Hint Feedback I give up! Feedback: 0% deduction per feedback. 17% Part (b) What is the direction of the magnetic force on the current in (b)? A 17% Part (c) What is the direction of the magnetic force on the current in (c)? & 17% Part (d) What is the direction of the magnetic force on the current in (d)? A 17% Part (e) What is the direction of the magnetic force on the current in (e)? 17% Part (f) What is the direction of the magnetic force on the current in (f)? copo Ctheexpertta.com Grade Summary Deductions Potential 0% 100% Submissions Attempts remaining: 5 (20% per attempt) detailed view (6%) Problem 4: Consider the magnetic forces (F) and currents (I) depicted in the figure. Do not consider any forces except those due to a magnetic field. Hints: 0% deduction per hint. Hints remaining: 3 Submit Hint F Feedback I give up! Feedback: 0% deduction per feedback. (a) Fin I 33% Part (a) What is the direction of the magnetic field that produces the magnetic force shown on the currents in figure (a), assuming B is perpendicular to I? up Grade Summary right into the page left out of the page down Deductions Potential (b) I (c) Otheexpertta.com 0% 100% Submissions Attempts remaining: 5 (20% per attempt) detailed view 33% Part (b) What is the direction of the magnetic field that produces the magnetic force shown on the currents in figure (b), assuming B is perpendicular to I? 33% Part (c) What is the direction of the magnetic field that produces the magnetic force shown on the currents in figure (c), assuming B is perpendicular to I? (4%) Problem 5: Consider a lightning bolt at the equator that carries 17500 A. Randomized Variables I=17500 A 50% Part (a) What is the magnitude of the magnetic force per meter (N/m) on the lightning bolt if it is perpendicular to the Earth's 3.00 x 105 T field? FIL= Grade Summary Deductions Potential sin() cotan() atan() cosh() cos() asin() acotan() tanh() ODegrees Submit tan() acos() sinh() cotanh() Radians Hint π E ( 14 7 Feedback 1 85 17 + 0 VO BACKSPACE 2 9 6 3 . HOME END CLEAR 0% 100% Submissions Attempts remaining: 5 (5% per attempt) detailed view I give up! Hints: 0% deduction per hint. Hints remaining: 2 Feedback: 0% deduction per feedback. 50% Part (b) What is the direction of the force if the current is straight up (out of the page) and the Earth's field direction is due north, parallel to the ground?See Answer
Q9:Consider a very long solenoid/inductor of length D and radius a, with n coils per unit length. Recall that the magnetic field inside the solenoid is uniform and is given by B = μo n I, where I is the electrical current running through the wire. Note that D >> a. The current is a known function of time, /(t). If the time scale of current variations is large then the displacement current in Ampere's law can be neglected and the stored electric field energy in the solenoid is much less than the magnetic energy. For purposes of directions and signs in diagrams, assume that the time rate of change of /(t) is positive. Answer the following questions. Show all work, diagrams might help, as might a few words. (a) Find an expression for the electric field inside the solenoid as a function of radial distance, r, from the axis and time t. What is the direction of the E-field? (And the direction of the B-field.) (b) Find the Poynting vector, S, as a function of r in the interior of the solenoid? What is its direction? What is the divergence of the Poynting vector? (c) Find the time rate of change of the EM energy density (neglect the electric field part). Show that this agrees with part (b) and satisfies the Poynting theorem. (d) If you still have time, think beyond the interior of the solenoid and include the wire(s). Where might the power in the interior come from? How does this fit in with the Poynting theorem?See Answer
Q10:3. A long coaxial cable is made of an inner solid cylindrical rod of radius a and an outer cylindrical thin shell of radius b. The inner rod carries a uniform volume positive charge density p. The outer shell carries negative charge with a uniform surface charge density p, which is of just the right amount to make the cable as a whole electrically neutral. Find the electric field E in the regions: a) inside the inner cylinder (r< a), b) between the cylinders (a <r<b) and c) outside the cable (r> b).See Answer
Q11: 5:04 1. [-/1 Points] Assignment Submission For this assignment, you submit answers by question parts. The number of submissions remaining for each question part only changes if you submit or change the answer. Assignment Scoring Your last submission is used for your score. MY NOTES ASK YOUR TEACHER Prelecture Exploration: Electrical Power DETAILS SERPSE10 26.PLE.001. This question has several parts that must be completed sequentially. If you skip a part of the question, you will not receive any points for the skipped part, and you will not be able to come back to the skipped part. Lalasa has always been interested in electricity and electrical power and is excited to be learning about the subject in physics class. She and her friend Mackenzie are study partners, and they decide to spend some time exploring electrical power. Lalasa reminds Mackenzie that electrical power is the rate at which energy is converted from the electrical energy of the moving charges to some other form, for example, heat, mechanical energy, or energy stored in electric fields or magnetic fields. Lalasa and Mackenzie use this simulation to gain a deeper understanding of electrical power. They can click the switch to open or close the circuit and use the sliders to adjust the resistance and the voltage. The current and power are shown in the counter boxes at the bottom. They should be careful: The resistor is designed to dissipate only 20 W of power! 2. [-/1 Points] Submit Answer MY NOTES voltage 回 6 ***** 20 Need Help? Read It Need Help? b Submit Skip (you cannot come back) webassign.net a AV PRACTICE ANOTHER Click here to open the simulation in a new window. ASK YOUR TEACHER I= 0.00 Read It S (off) A DETAILS SERPSE10 26.1.P.007. Watch It Power = (b) What is the value of the current density? kA/m² Part 1 of 9 - Current Lalasa asks Mackenzie if she knows what current is. Which of her responses is correct? O "The work that would have to be done, per unit charge, against a static electric field to move a charge between two points." O "An object's opposition to the flow of charge carriers." O "The flow of electric charges through a piece of material." O "A device that converts stored chemical energy into useful electrical energy." PRACTICE ANOTHER R 0.00 W d (a) What is the instantaneous current through the surface at t = 1.10 s? A resistance 30 984 ΙΩ [****** The quantity of charge q (in coulombs) that has passed through a surface of area 2.10 cm² varies with time according to the equation q = 5t³ + 8t + 6, where t is in seconds. 10 100 5:05 Need Help? Submit Answer 2. [-/1 Points] MY NOTES Need Help? Submit Answer 3. [-/1 Points] MY NOTES The quantity of charge q (in coulombs) that has passed through a surface of area 2.10 cm² varies with time according to the equation q = 5t³ + 8t + 6, where t is in seconds. (a) What is the instantaneous current through the surface at t = 1.10 s? ASK YOUR TEACHER (b) What is the value of the current density? kA/m² Need Help? 4. [-/1 Points] MY NOTES Submit Answer Read It DETAILS SERPSE10 26.1.P.007. 5. [-/1 Points] MY NOTES Need Help? Read It ASK YOUR TEACHER Submit Answer DETAILS An electric current in a conductor varies with time according to the expression I(t) = 116 sin (90xt), where I is in amperes and t is in seconds. What is the total charge passing a given point in the conductor from t = 0 to t = 1/180 s? C Read It DETAILS ASK YOUR TEACHER Read It DETAILS (a) A lightbulb has a resistance of 250 2 when operating with a potential difference of 145 V across it. What is the current in the lightbulb (in mA)? mA (b) What If? What would be the current in the lightbulb (in mA) if it were used in Barbados, where the potential difference across it would be 115 V? mA Material Silver Copper Gold ASK YOUR TEACHER Aluminum Tungsten Iron Watch It Platinum Lead Nichrome SERPSE10 26.1.P.009. Carbon Watch It (a) A 34.1-m length of copper wire at 20.0°C has a radius of 0.29 mm. If a potential difference of 8.00 V is applied across the length of the wire, determine the current in the wire. (Use the values in the following table.) Resistivity (2. m) Temperature Coefficient of Resistivityb a [(°C)-¹] Germanium PRACTICE ANOTHER Silicond Glass SERPSE10 26.2.OP.005. PRACTICE ANOTHER Watch It webassign.net PRACTICE ANOTHER SERPSE10 26.4.OP.015.MI. PRACTICE ANOTHER 1.59 x 10-8 1.7 x 10-8 2.44 x 10-8 2.82 x 10-8 5.6 x 10-8 10.0 x 10-8 11 x 10-8 22 x 10-8 1.00 x 10-6 3.5 x 10-5 0.46 2.3 x 10³ 3.8 x 10-3 3.9 x 10-3 3.4 x 10-3 3.9 x 10-3 4.5 x 10-3 5.0 x 10-3 984 3.92 x 10-3 3.9 x 10-3 0.4 x 10-3 -0.5 x 10-3 -48 x 10-3 -75 x 10-3 5:05 5. [-/1 Points] MY NOTES ASK YOUR TEACHER MY NOTES (a) A 34.1-m length of copper wire at 20.0°C has a radius of 0.29 mm. If a potential difference of 8.00 V is applied across the length of the wire, determine the current in the wire. (Use the values in the following table.) Resistivity (m) Temperature Coefficient of Resistivity a [(°C)-¹] 6. [-/1 Points] DETAILS SERPSE10 26.4.OP.015.MI. Material Silver Submit Answer MY NOTES Copper Gold Aluminum Tungsten Iron Platinum Lead Nichrome Germanium Carbon Submit Answer Silicon Hard rubber Glass Quartz (fused) Sulfur Read It DETAILS 1.59 x 10-8 1.7 x 10-8 W PRACTICE ANOTHER 2.44 x 10-8 2.82 x 10-8 5.6 x 10-8 Need Help? Read It 10.0 x 10-8 11 x 10-8 7. [-/1 Points] DETAILS 22 x 10-8 1.00 x 10-6 3.5 x 10-5 webassign.net 2.3 x 103 1010 1014 0.46 ASK YOUR TEACHER 75 x 1016 =1013 1015 Master It SERPSE10 26.6.P.028. (a) All values at 20°C. All elements in this table are assumed to be free of impurities. (b) See the section "Resistance and Temperature". (c) A nickel-chromium alloy commonly used in heating elements. The resistivity of Nichrome varies with composition and ranges between 1.00 x 10-6 and 1.50 x 10-60 m. (b) If the wire is heated to 38.0°C while the 8.00-V potential difference is maintained, what is the resulting current in the wire? A Need Help? (d) The resistivity of silicon is very sensitive to purity. The value can be changed by several orders of magnitude when it is doped with other atoms. (b) Repeat the calculation for a 12-gauge aluminum wire. W This answer has not been graded yet. PRACTICE ANOTHER Watch It ASK YOUR TEACHER 3.8 x 10-3 3.9 x 10-3 3.4 x 10-3 3.9 x 10-3 SERPSE10 26.A.OP.027.MI. 4.5 x 10-3 5.0 x 10-3 Residential building codes typically require the use of 12-gauge copper wire (diameter 0.205 cm) for wiring receptacles. Such circuits carry currents as large as 20.0 A. If a wire of smaller diameter (with a higher gauge number) carried that much current, the wire could rise to a high temperature and cause a fire. (Table of resistivities) PRACTICE ANOTHER 3.92 x 10-3 3.9 x 10-3 (a) Calculate the rate at which internal energy is produced in 2.35 m of 12-gauge copper wire carrying a current of 20.0 A. 0.4 x 10-3 -0.5 x 10-3 Explain whether a 12-gauge aluminum wire would be as safe as a copper wire. -48 x 10-3 -75 x 10-3 984 5:05 Done webassign.net AA Circuits Carry currents as large as 20.0 A. Il a wire or smaller arameter (with a higher gauge number) Carned that much current, the wire could rise to a high temperature and cause a fire. (Table of resistivities) MY NOTES (a) Calculate the rate at which internal energy is produced in 2.35 m of 12-gauge copper wire carrying a current of 20.0 A. (b) Repeat the calculation for a 12-gauge aluminum wire. W Need Help? Read It Submit Answer 7. [-/1 Points] Explain whether a 12-gauge aluminum wire would be as safe as a copper wire. MY NOTES 8. [-/1 Points] This answer has not been graded yet. Submit Answer MY NOTES W 9. [-/1 Points] A particular wire has a resistivity of 2.5 x 10-8 2 m and a cross-sectional area of 2.5 x 10-6 m². A length of this wire is to be used as a resistor that will receive 47 W of power when connected across a 20-V battery. What length of wire is required? km Need Help? Need Help? ASK YOUR TEACHER Submit Answer DETAILS Read It DETAILS ASK YOUR TEACHER Need Help? Watch It Submit Answer SERPSE10 26.A.OP.027.MI. One wire in a high-voltage transmission line carries 1 000 A starting at 670 kV for a distance of 230 mi. If the resistance in the wire is 0.500 /mi, what is the power loss due to the resistance of the wire? MW Read It DETAILS Master It SERPSE10 26.A.P.035. ASK YOUR TEACHER Read It PRACTICE ANOTHER Watch It PRACTICE ANOTHER SERPSE10 26.A.OP.033. An electric utility company supplies a customer's house from the main power lines (120 V) with two copper wires, each of which is 46.0 m long and has a resistance of 0.104 2 per 300 m. (a) Find the potential difference at the customer's house for a load current of 114 A. (b) For this load current, find the power delivered to the customer. kW (c) Find the rate at which internal energy is produced in the copper wires. W PRACTICE ANOTHER Watch It 984 Home My Assignments Request Extension ₁ 6. [-/1 Points] MY NOTES DETAILS SERPSE10 26.6.P.028. ASK YOUR TEACHER Residential building codes typically require the use of 12-gauge copper wire (diameter 0.205 cm) for wiring receptacles. Such circuits carry currents as large as 20.0 A. If a wire of smaller diameter (with a higher gauge number) carried that much current, the wire could rise to a high temperature and cause a fire. (Table of resistivities) (a) Calculate the rate at which internal energy is produced in 2.35 m of 12-gauge copper wire carrying a current of 20.0 A. W (b) Repeat the calculation for a 12-gauge aluminum wire. W PRACTICE ANOTHER Explain whether a 12-gauge aluminum wire would be as safe as a copper wire. This answer has not been graded yet. Submit Answer Need Help? Read It Watch ItSee Answer
Q12:Problem 12 (10 points) - Boundary Value Problem You receive a cylindrical birthday cake with a radius of and height of h as seen in the figure. The cake's permittivity is cake Ep. You place the cake on a round PEC plate. Unfortunately, you are so excited to eat the cake that when you cut yourself a wedge of cake you accidentally cut a wedge out of the PEC plate as well. When you are done getting your cake, you cut a wedge out Ⓒ=Yof another PEC plate and put it on top of the cake for storage. a) (9 points) If you connect a DC powers supply of V, to the top plate and grounded the bottom plate, the cake acts like a dielectric in a capacitor. Assuming that w » h, use the Laplace equation to find a particular solution for the electric potential inside the cake. b) (1 point) Using the potential function you derived in part a), find the electric field E and the electric flux density D inside the cake.See Answer
Q13:Problem 9 (2 points) - For the electric scalar potential V(Robs) = Rx Find the electric field Ē (Robs). Ry R₂ Problem 10 (10 points) - Electric Potential For the following electric potential functions, find the corresponding electric fields. a) (3 points) V (Robs) = x + y²z [V] b) (3 points) V (Robs) = p² sin() [V] c) (4 points) V (Robs) = r sin(0) cos(p) [V]See Answer
Q14:Problem 6-(10 points) Dielectric shell enclosing charge A point charge Q = 1.0[nC] exists at R₂ = (0,0,0) surrounded by free space. 1. (3 points) Determine E(Robs € R³) due to the point charge. (Hint: use either Coulomb's Law or Gauss's Law.) 2. (4 points) Now, a spherical shell with inner radius a = 1.0[m] and outer radius b = 2.0[m] and made from a dielectric material with €, = 5 is added and centered around the charge. The dielectric is charge-free. Determine the electric field inside the dielectric shell (Ē (a < Tobs < b)). (Hint: use the normal electric boundary condition) 3. (3 points) Determine the electric field outside the dielectric shell (Ē(robs > b)). (Hint: use the normal electric boundary condition)See Answer
Q15:Problem 4 (5 points) - Derive the normal electric flux boundary condition for an electric flux density existing at the boundary between two spaces ₁ and ₂ with ₁ and ₂ respectively. Be sure to justify each step in your derivation with a few words, a sentence, or a sketch.See Answer
Q16:Problem 2 (5 points) - Coulomb's Law A cylindrical shell (just the side, not the top or bottom) has a surface charge density of P = Po. The cylinder is centered around the z-axis, extends over the xy-plane and below the xy- plane, and has a radius of a. Use the first 5 steps of the "patented 6-step method" with Coulomb's law to find the electric field E(Robs) where Robs may travel anywhere on the z-axis. Do not solve the integral.See Answer
Q17:*6.24 Consider the semiconductor described in Problem 6.19. Assume a constant electric field E, is applied in the +x direction. (a) Derive the expression for the steady-state excess electron concentration. (Assume the solution is of the form e.) (b) Plot ôn versus x for (i) E= 0 and (ii) E= 12 V/cm. (c) Explain the general characteristics of the two curves plotted in part (b).See Answer
Q18:Problem 6 An insulating hollow sphere has an inner radius a and an outer radius of b. Within the insulating material, the volume charge density is given by p(r) =, where a is a positive constant. Find the magnitude of the electric field in terms a and a at a distance r from the center of the shell, where a <r<b. [6]See Answer
Q19:Problem 3 TRA + + 4+ + R + The electric field due to an infinite line of charge has magnitude = 2πor and is perpendicular to the line. An imaginary Gaussian cylinder with a radius of r = 0.250 m and a length of 1 = 0.400 m is drawn to surround an infinite line of positive charge running along its axis as shown. The charge per unit length on the line is λ= 6.00μC/m, determine the (a) electric flux through the cylinder due to this infinite line of charge. (b) flux through the cylinder if its radius is increased to r = 0.500 m. (c) flux through the cylinder if its length is increased to 1 = 0.800 m. [4] [3] [3]See Answer
Q20:Problem 2 An engineering student is asked to apply Gauss's Law to calculate the electric field along an infinitely long, thin wire having a linear charge distribution uniformly distributed along an infinitely long thin wire. [3] Problem 3See Answer

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