Complete the following exercises in complex arithmetic.
a. Find the complex conjugate of
b. Multiply the numerator and denominator of each ratio by the complex conjugate of the denominator.Use the result to express each ratio in polar form.
c. Convert the numerator and denominator of each ratio in part b to polar form. Use the result to express each ratio in polar form.
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Chapter 4 Solutions
Principles and Applications of Electrical Engineering
- Assume that the voltage drop across the resistor, ER, is 78 V; the voltage drop across the capacitor, EC, is 104 V; and the circuit has a total impedance, Z, of 20 . The frequency of the AC voltage is 60 Hz. Find the missing values. ET ER78V EC104V IT IR IC Z20 R XC VA P VARSC PF Carrow_forwardSIGNAL POWER of v(t)( NEED NEAT HANDWRITTEN SOLUTION ONLY OTHERWISE DOWNVOTE).arrow_forwardEx. 323. The CLCE is 4s^3+3s^2+2s+6=0. The first column of the Routh table is A,B,C,D. The second column is E,F,G,H. No row has been simplified. How many (n) rhp poles are indicated? Answers: C,D,E,F,G,H,n. ans:7arrow_forward
- 1)compute the voltage v(t) at the steady state when a(t)=5A and e(t)=2sin(1t)V 2) compute the frequency response H(jw)=V(jw)/ E(jw)please do all necessary steps clearly. thank youarrow_forwardI dont get how the third line becomes the forth line, which is 18+j15. Could you please explain step by step?arrow_forwardCalculate the gradient of this function: 25xyz(ax) + 19xy(ay)+ 30xz(az)arrow_forward
- Figure 1090 For Prob. 1047. 10.48 Find i, in the circuit in Fig. 10.91 y superposition. A 10.: in the 50 cos 20007 V 0s(2t - 60°) V 2 sin 40001 A 10.5 Figure 1091 oarrow_forwardUse CTFT table and properties to find the numerical value of x(t) at t=0.75 if x(t)= 3 sinc (2t) * sinc (4t) : Select one: a. 0.75 sinc (1.5) b. None of the given options c. 3 sinc (1.5) + 3 sinc (3) d. 3 sinc (1.5) sinc (3) e. 3/8 rect (1.5) rect (3)arrow_forward1+K 1.332/(S^3+4S^2+5S+2)=0 (i). Identify the characteristic equation.arrow_forward
- termining the impedance and current of the system, the voltage across the resistor, and the voltage across the inductor. Could you please forward the response as a print of a handwritten answer? I got these two answers earlier. Which of them would be correct Impedance Z= (1000 + j 90.836) ohm Current I= 0.219∠-5.19° A Voltage across resistor VR = 219.097∠-5.19° V Voltage across inductor VL = 165.195∠84.81° V Impedance will be Z= 1004.052 ∠ 5.12° Current will be i = 0.221 ∠ -5.19° A. Volatge across resistor will be VR = 211.9∠ -5.19° V Volatge across inductor will be VL = 165.12 ∠ 84.81°Varrow_forwardGiven the circuit below with input v(t) = 28.28(40kpit) a. find the MAGNITUDE of the total reactive power (in VARS with 2 decimal places) b. find the MAGNITUDE of the total apparent power (in VA with 2 decimal places)arrow_forwardPerform the following operations: 1. (3+j2)(4+j5) / (2 + j3)²arrow_forward
- Delmar's Standard Textbook Of ElectricityElectrical EngineeringISBN:9781337900348Author:Stephen L. HermanPublisher:Cengage Learning