Engineering Electromagnetics
Engineering Electromagnetics
9th Edition
ISBN: 9780078028151
Author: Hayt, William H. (william Hart), Jr, BUCK, John A.
Publisher: Mcgraw-hill Education,
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Chapter 5, Problem 5.21P

Let the surface y=0 be a perfect conductor in free space. Two uniform line charge 30 nC/m each are located at x=0, y=1, and x=0, y=2. (a) at the plane y=0, and find V at P(1,2,0) (b) find E at P.

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C₁ R₁ R₁ Vec RB ww RA Rs Re Vou Consider the above circuit, including a BJT transistor with 100, VBE 0.7V and VT-25mV, where the bias resistors are R₁ =100k2, R2=220k2, R5-4702, R6 = 10002, RB = 2.2k2, and R4 2.2k2, and the bias voltage is VCC=10V. Assume that you can use DC and AC approximations capacitors for your analysis, and that the transistor is biased in forward active mode. Find: a) The bias current entering the collector (i.e. Ic), in mA, to within 1% precision. Ic= mA b) The bias voltage from collector to emitter (i.e. VCE), in V, to within 1% precision. VCE- V c) With an AC small signal of in= 0.05V peak-peak what is the amplifier small-signal AC voltage gain (AV tourin), accurate to within 1%? Assume that ro in the small signal model is infinite (i.e. open circuit). Av= V/V
R1 ww R₂ 11 Vout Rs ww Is 12 In the circuit depicted below. Is=2mA, R₁ = 100k, R2 = 7k2, R3 = 3k2, R4 = 4k2. Assuming ideal op amp behaviour, find: a) The voltage at the non-inverting input (V+), in V, accurate to within 1% V+= 14 RA b) The current flowing through the resistor R3 (13), in mA, accurate to within 1%. 13- ΜΑ c) Calculate the output voltage (Vout), in V, accurate to within 1%. Vout = d) Assume that the op-amp is now supplied by +5V, and that the output can swing rail-to-rail. What is the maximum magnitude of the input current that can be supplied, in mA, before the output clips to rails? State your answer accurate to within 1%. e) We want to modify this amplifier so its transimpedance gain is 2000V/A, comparing source current to op-amp output voltage. Assuming other components are kept as is, what value of R2 will achieve this? State your answer in k2 accurate to within 1%. R2= ΚΩ IS.ma MA
A factory load draws real power of 15kW at voltage of 220V (rms) and operates at a lagging power factor of 0.80. We'd like to be operating at a power factor of 0.99, and this can be done by placing a capacitor in parallel with the load. The power supply to this load operates at a frequency of 50Hz. a) Compute the apparent power (S, in kVA) and original reactive power (Q, in kVAR), of the factory load, to within 1% accuracy. KVA Q= KVAR b) Compute the new reactive power (Q, in kVAR) based on the desired power factor (p.f. = 0.99), to within 1% accuracy. KVAR c) Calculate the difference in reactive power, in kVAR, that the load must show to change from a p.f. of 0.75 to 0.99, which must be provided by the capacitor, to within 1% accuracy. Difference KVAR d) Determine the size of the capacitor (in millifarads, mF) required to correct the power factor to 0.99 lagging, to within 1% accuracy. C = mF

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Engineering Electromagnetics

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