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Q1:Question 14 Marked out of 20.00 iB B ic AB Answer: IBC ICA mi 0% a b X y = 1. HKH ** KH KH Given VAB = 440V, Id=45.2A. Assume that the voltage across the load is ripple-free. Q: Calculate the percentage total harmonic distortion in ix ¹d LSee Answer
Q2:Question 10 Marked out of 20.00 id Answer: TA+ TA A 5PM DA+ 10 DB+ R műt DA- DB E B N Given the above full bridge convertor operates in Bipolar Mode, V₁=133V, E=20V, I,= 1.1A (NB. Assume R is negligible) Q: Calculate the duty ratio D for the above circuit Hint: use a sketch of VAB to check your answer TB+ TB-See Answer
Q3:Question 8 Marked out of 20.00 The tertiary winding transformer below has vy=20V at 50 Hz. The transformer supplies two impedance, where Z₁ = 530 and Z₂ = 920. Given N₁=50 turns, N₂=250 turns and N3 = 500 turns, calculate current i, 1₁ Answer: N₁ 12 N₂2 13 N3 OA OMA Z1 Z2See Answer
Q4:Question 7 Marked out of 15.00 VL (V) ++ a -a 6 Answer: VL Figure 1. R 10 12 14 15 Given the above waveform is V, in the R-L circuit of Figure 1, a = 28V, L=0.019H and R=8Q OA OMA / (ms) Q: By sketching the waveform of i, Find the value of current (i) at t=0.0134s.See Answer
Q5:Question 6 Marked out of 15.00 VL (V) a 10 Answer: 16 20 8 10 VL Figure 1. OA OMA 12 M R 14 15 Given the above waveform is V₁ in the L-R circuit of Figure 1, a-8V, L=0.011H and R=90 Q: By sketching the waveform of i, find the value of current (i) at t=0.0065s. t (ms)See Answer
Q6:Question 5 Marked out of 15.00 ¡A IB ic 0 A AB Answer: B IBC CICA a T a OA OMA me mb mek 2π ib Given the ratio of Delta to Star windings = 19, I=8.5A and α = π/12 Q: By sketching the waveform for IBA in the above diagram determine its peak to peak value. αSee Answer
Q7:Question 4 Marked out of 20.00 IB Ic 0 A IAB Answer: B IBC CICA α α T a OA OMA mej amb l m² mak 2π Given I=2.9A, α = π/12 and the ratio of Delta to Star windings is 17 Q: Sketch an accurate waveform for icB and calculate the mean value of licBl. ·αSee Answer
Q8:Question 3 Marked out of 25.00 V₂ Ton Answer: Toff Given f= 18kHz, Ton: (Ton+Toff) = 0.67 and Ai= 4.21A (peak). The above waveform represents v₁ in Figure 1, at steady state. Q: by sketching the waveform for i Calculate the rms value of i. nuw OA OMASee Answer
Q9:Question 2 Marked out of 10.00 VL Ton Answer: Toff Given f= 10kHz, Ton: (Ton+Toff) = 0.33 and Ai= 8.37A(p-p). The above waveform represents V₁ in Figure 1, Q: by sketching the waveform for i Calculate the mean value of li]. R OA OMASee Answer
Q10:Question 1 Marked out of 10.00 VL Ton Answer: Toff Given f= 20kHz, Ton: (Ton+Toff) = 0.39 and Ai= 1.44A(p-p). The above waveform represents V₁ in Figure 1, Q: by sketching the waveform for i Calculate the mean value of lil. DA OMASee Answer
Q11:1. Let P = P(x, y, z), Q = Q(x, y, z), and R = R(x, y, z) be functions of three variables defined on a subset E of space. A vector field over E is defined as the function F(x, y, z) = P(x, y, z) + Q(x, y, z) + R(x, y, z). Determine whether the provided statement is true or false. 2. The gradient of a function f is an example of a vector field. Determine whether the provided statement is true or false. 3. Consider the vector field F(x, y) = xi + 2yj. Which of the following vector fields correctly graphs F(x, y)? Choose the correct vector field. 4. Consider the vector field F = F(x, y) = yi-j. Which of the following vector fields correctly graphs F(x, y)? Choose the correct vector field. 5. Consider the vector field F = F(x, y) = 2i. Which of the following vector fields correctly graphs F(x, y)? Choose the correct vector field. 6. Consider the vector field F = F(x, y) = -4i + 3j. Which of the following vector fields correctly graphs F(x, y)? Choose the correct vector field. 7. Consider the vector field F = F(x, y, z) = zk. Which of the following vector fields correctly graphs F(x, y, z)? Choose the correct vector field. 8. Consider the vector field F = F(x, y, z) = xi. Which of the following vector fields correctly graphs F(x, y, z)? Choose the correct vector field. 9. Find the gradient vector field of function f. f(x,y) = xe^13y (Give your answer using component form or standard basis vectors. Express numbers in exact form. Use symbolic notation and fractions where needed.) 10. Find the gradient vector field of function ƒ. f(x, y, z) = x^7y + 4xyz³ (Give your answer using component form or standard basis vectors. Express numbers in exact form. Use symbolic notation and fractions where needed.) 11. (a) Which of the following correctly describes the vector field F(x, y) = -yi + xj? F(x, y) is a set of vectors tangent to circles centered at the origin. O parallel to the y-axis. O parallel to the x-axis. O parallel to radius vectors of circles centered at the origin. (b) Which of the following correctly describes the magnitude of a vector in the field F(x, y) = -yi + xj? The magnitude of each vector in the field O is proportional to the distance of the vector from the x-axis. O equals the radius squared of the circle. O equals the radius of the circle. O is proportional to the distance of the vector from the y-axis. 12. Consider a very small object of mass m kg. The distance from this object is denoted by r and measured in meters (m). The gravitational potential due to the mass m is the scalar function u = - Gr, where G = 6.67 x 10-¹¹ N m²/kg² and r = xi + yj + zk. If the gravitational field g = -Vu, then what does g equal in terms of G, m, r, and r?See Answer
Q12:1. Let P = P(x, y, z), Q = Q(x, y, z), and R = R(x, y, z) be functions of three variables defined on a subset E of space. A vector field over E is defined as the function F(x, y, z) = P(x, y, z) + Q(x, y, z) + R(x, y, z). Determine whether the provided statement is true or false. 2. The gradient of a function f is an example of a vector field. Determine whether the provided statement is true or false. 3. Consider the vector field F(x, y) = xi + 2yj. Which of the following vector fields correctly graphs F(x, y)? Choose the correct vector field. 4. Consider the vector field F = F(x, y) = yi-j. Which of the following vector fields correctly graphs F(x, y)? Choose the correct vector field. 5. Consider the vector field F = F(x, y) = 2i. Which of the following vector fields correctly graphs F(x, y)? Choose the correct vector field. 6. Consider the vector field F = F(x, y) = -4i + 3j. Which of the following vector fields correctly graphs F(x, y)? Choose the correct vector field. 7. Consider the vector field F = F(x, y, z) = zk. Which of the following vector fields correctly graphs F(x, y, z)? Choose the correct vector field. 8. Consider the vector field F = F(x, y, z) = xi. Which of the following vector fields correctly graphs F(x, y, z)? Choose the correct vector field. 9. Find the gradient vector field of function f. f(x,y) = xe^13y (Give your answer using component form or standard basis vectors. Express numbers in exact form. Use symbolic notation and fractions where needed.) 10. Find the gradient vector field of function ƒ. f(x, y, z) = x^7y + 4xyz³ (Give your answer using component form or standard basis vectors. Express numbers in exact form. Use symbolic notation and fractions where needed.) 11. (a) Which of the following correctly describes the vector field F(x, y) = -yi + xj? F(x, y) is a set of vectors tangent to circles centered at the origin. O parallel to the y-axis. O parallel to the x-axis. O parallel to radius vectors of circles centered at the origin. (b) Which of the following correctly describes the magnitude of a vector in the field F(x, y) = -yi + xj? The magnitude of each vector in the field O is proportional to the distance of the vector from the x-axis. O equals the radius squared of the circle. O equals the radius of the circle. O is proportional to the distance of the vector from the y-axis. 12. Consider a very small object of mass m kg. The distance from this object is denoted by r and measured in meters (m). The gravitational potential due to the mass m is the scalar function u = - Gr, where G = 6.67 x 10-¹¹ N m²/kg² and r = xi + yj + zk. If the gravitational field g = -Vu, then what does g equal in terms of G, m, r, and r?See Answer
Q13: The diagram shows the spectrum for an X-ray tube. The minimum wavelength Amin of X-rays emitted from the X-ray tubecan be reduced by See Answer
Q14: Monochromatic light passes through a right-angled prism. The critical angle for the glassfrom which the prism is made is 45°. Which light path is possible? See Answer
Q15: A path is parallel to the line joining S, and S₂ and is 40.0 m from that line. The sound from both loudspeakers now has a wavelength of 0.70 m.S₁ and S₂ now emit waves that are rad out of phase. The shortest distance along the path between a position with constructive interference and a position with destructive interference is x. Point Q is equidistant from S, and S₂. Which row gives x and the amplitude of the sound that is detected at Q?[ See Answer
Q16: The speed of sound in air is 330 m s™¹. The loudspeakers are in phase and emit sound of frequency 660 Hz. The phase difference between the waves arriving at P from S₁ and S₂ is: See Answer
Q17: ]A body undergoes simple harmonic motion. The period of the motion is T. Which graph shows the variation of total energy E with time/? See Answer
Q18: The diagrams show a battery connected to networks of ideal diodes and resistors.In which circuit will a charge flow in the battery?14 See Answer
Q19: Each diagram shows a battery connected to an external resistor. Each battery has an emf of 10 V. The resistance of each external resistor and the internal resistance of each battery are shown. Which circuit transfers the least power to the external resistor? See Answer
Q20: 1A heating element in an electric heater consists of a coil of wire.The heating element transfers a power of 1.00 kW when connected directly to a mains supply of 230 V. Show that the resistance of the element is approximately 53 2. The element is made from wire that has a radius of 0.137 mm and a resistivity of 4.9 × 1072 m. Calculate the length of wire needed for the element. The electric heater contains two elements, each of resistance 53 ohms There is also a 230 V lamp to show when the heater is working. The power transferred by the lamp is negligible. The resistivity of the wire does not vary with temperature. Draw circuit diagrams to show how the components can be connected to transfer: • the maximum possible power using both elements• the minimum possible power using both elements.State, for each circuit, the total power transferred by the heater.See Answer

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