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Recently Asked Electromagnetic Field Questions

Expert help when you need it

Q1: Continuing with Problem 3-1, enable the admittance coordinates on the Smith chart to add a shunt element. Add a shunt capacitance to move the impedance to the real axis. Measure the susceptance required to move to the real impedance axis by the difference between the intersecting susceptance lines.See Answer
Q2: Using ADS, create a constant VSWR circle for a VSWR=20.Comment on the VSWR value required to place the VSWR circle on the circumference of the Smith chart.See Answer
Q3: - Model a chip resistor (size 0603) with a resistance of 502 in ADS.a Consider an application in which 502 impedance must be maintained with +10%. Create a linear analysis and determine the maximum usable frequency of the chip resistor.See Answer
Q4: (a)Use macroscopic Ohm's and Kirchhoff's laws to demonstrate that the total resistance of two resistors connected in series in a circuit equates the sum of their resistance.[6] (b)Use macroscopic Ohm's and Kirchhoff's laws to demonstrate that the total resistance R of two resistors of resistance R and R2 connected 5]in parallel is R =(R;'+R').-1 Calculate the total capacitance C that two capacitors with capacitanceC1 = 1 pF and C,in series.(c)= 2 pF introduce in a circuit if they are connected in series Calculate the total capacitance C that two capacitors with capacitance C1 = 11 pF and C2 = 22 pF introduce in a circuit if they are connected in parallel.See Answer
Q5: Problem 6.6 Of the following materials, which would you expect to be paramagnetic and which diamagnetic: aluminum, copper, copper chloride (CuCl2), carbon,lead, nitrogen (N2), salt (NaCl), sodium, sulfur, water? (Actually, copper is slightly diamagnetic; otherwise they're all what you'd expect.)See Answer
Q6: A three phase stator setup for an electrical machine is shown below. If the current leaves the col from a(1) and enters the coil from a .What is the direction of the magnetic field produced? Right • Up • Down LeftSee Answer
Q7: (a) Determine the net power flux P(t) entering the box due to a plane wave in air given by \begin{array}{l} \mathbf{E}=\hat{\mathbf{x}} 100 \mathrm{e}^{-20 \mathrm{y}} \cos \left(2 \pi \times 10^{9} t-40 y\right) \quad(\mathrm{V} / \mathrm{m}) \\ \mathbf{H}=-\hat{\mathbf{z}} 0.64 \mathrm{e}^{-20 \mathrm{y}} \cos \left(2 \pi \times 10^{9} t-40 y-36.85^{\circ}\right) \quad(\mathrm{A} / \mathrm{m}) \end{array} (b) Determine the net time-average power entering the box.The box has dimensions: a = 1 cm, b = 2 cm, and c = 0.5 cm. Problem 7.4 Consider the imaginary rectangular box shown in Fig. P7.4.See Answer
Q8: Problem 7.3 The electric field of a plane wave propagating in a nonmagnetic medium is given by \mathbf{E}=\hat{\mathbf{z}} 25 e^{-30 x} \cos \left(2 \pi \times 10^{9} t-40 x\right) Obtain the corresponding expression for H.See Answer
Q9: Problem 7.1 An RHC-polarized wave with a modulus of 2 (V/m) is traveling in free space in the negative z-direction. Write the expression for the wave's electric field vector, given that the wavelength is 6 cm. See Answer
Q10: Capacitors: Typical Curve for a DC voltage charging a capacitor AC Current in Capacitors The effect of Capacitors on AC Current Inductors: The effect of Inductors on AC Current Comparison of Capacitors and Inductors. See Answer
Q11: 4.49 An infinitely long cylinder of radius a is surrounded by a dielectric medium that contains no free charges. If the tangential component of the electric field in the region r>a is \text { given by } \mathbf{E}_{t}=-\hat{\phi} \cos \phi / r^{2}, \text { find } \mathbf{E} \text { in that region. }See Answer
Q12: 4-3.The primary of a transformer has 200 turns and is excited by a 60-Hz, 220-V source. a. Find the maximum value of the core flux. b. Let a voltage v = 155.5 sin 377t + 15.5 sin 1131t (V) be applied to the transformer primary. Neglecting leakage, determine the instantaneous and rms values of the core flux.See Answer
Q13: 22 Consider a current I = 1 A flowing in the positive y direction through a rectangular conductor as shown in Figure Q2. The conductor has length L width a = 1 cm, and height b=0.1 cm. Suppose that a magnetic field B = Bàpermeates uniformly the conductor, with B = 10 T.= 4 cm, Briefly explain why a potential difference AV = V - V, arises at the equilibrium between the left and right sides of the conductor, as shown in the figure.(a) Starting from J = ng qữa and considering the Lorentz force, derive the force acting on the carriers responsible for the current I function of the relevant parameters a, b, 1, B and the carrier density ng. Use such result to demonstrate that the carriers responsible for the current in the metal are negatively charged if the potential difference measured between the left and the right facets of the conductor is positive:AV = V - V, > 0. To this end, consider that V - V, is positive if the carriers accumulated on the right side have a negative charge.(b) Suppose that the carriers are electrons (qe = -1.6 x 10-19 C) and thatAV = V - V, = 22 x 10-6 V. Calculate the carrier density n, in the metal, expressed in units of m.(c)-3 Hence or otherwise, suppose that the current I is induced by a generator keeping the potential difference between the input and output facets (Sin and Sout) at a constant value delta Vt/00.002v What is the resistivity p of the conductor (in ohmsm)?= See Answer
Q14: Place a 20 + j30 N impedance at point A on the Smith chart. Add a series inductance to move the impedance along the constant resistance circle to point B having the impedance 20 + j50 N. Using a design frequency of 1000MHZ, calculate the inductance that this reactance represents.See Answer
Q15: Problem 7.2 Generate a plot for the skin depth Os versus frequency for seawater for the range from 1 kHz to 10 GHz (use log-log scales). The constitutive parameters of seawater are ur = 1, Er = 80, and o = 4 S/m.See Answer
Q16: (a)Consider a region of space free from matter and from magnetic fields.Show that it cannot be permeated by an electric field of the form: \vec{E}(x, y, z)=\frac{A}{2}(y \hat{x}-x \hat{y}+z \hat{z}) where A is a constant value different from zero and with units V/m2. Now, consider that a magnetic field permeates the region of(a). Write an expression representing a time-varying magnetic field B(x,y, 2, t) that renders the vector field proposed in (a) suitable to describe an electric field. Check and demonstrate that the expression you found is a suitable representation of a magnetic field. Hence or otherwise, show that: \vec{B}=K x \hat{x}+K y \hat{y}+A t \hat{z} is not an adequate expression for amagnetic field for K #0 T/m2. is not an adequate expression for a magnetic field for K 0 T/m2.See Answer
Q17: Q1 A hollow spherical conductor of internal radius R2 and external radius R3surrounds a conductive sphere of radius R1, which is charged with a charge Q,as shown in Figure Q1. Derive the expression for the magnitude of the electric field E(r), for r between 0 and o. Note that r = 0 is the origin of the spherical reference system, as shown in Figure Q1. hence or otherwise, derive the expression for the scalar potential V (r),between 0 and infinity Give a qualitative graphical representation for the functions E(r)(magnitude of the electric field) and V(r) (scalar potential), considering R1 = 30 cm, R2Use the appropriate emits on the graphs. Write the values of the electric field in the dielectric side of the interface for each of the metallic50 cm, R3 = 80 cm, and Q= 800 x 10-12 C.surfaces. Write the values for the potential at r = 0, r =R1, r = R2,and r == R3. Briefly describe what happens to the scalar potential and electric field in the region with R <r< R2 at the static equilibrium if a charged sphere of radius R, =close to the hollow conductor, with its centre at R4 4 m. Include a brief explanation for your answer.20 cm and charge Q. 10-6 C is positionedSee Answer
Q18: O Model a chip resistor (size 0603) with a resistance of 502 in ADSConsider an application in which 502 impedance must bemaintained with +10%. Create a linear analysis and determine themaximum usable frequency of the chip resistor.See Answer
Q19: A horizontal infinitesimal electric dipole of constant current /, is placed symmetrically about the origin and directed along the x-axis. Derive the (a) far-zone fields radiated by the dipole (b) directivity of the antennaSee Answer
Q20: An infinitesimal magnetic dipole of constant current Im and length / is symmetrically placed about the origin along the z-axis. Find the (a) spherical E- and H-field components radiated by the dipole in all space (b) directivity of the antennaSee Answer

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