Ect 122 Week 5 Hw

ASSIGNMENT 5

WEEK 5

BRYAN BONDS

CHAPTER 6.

3. Calculate component voltages, branch currents, Current total, and Resistance total.

V s = 26V Branch A = R1 = 10kΩ R2 = 3kΩ Branch B = R3 = 2kΩ R4 = 4.7kΩ R5 = 3.3kΩ

RA = 10kΩ + 3kΩ = 13kΩ RB = 2kΩ + 4.7kΩ + 3.3kΩ = 10kΩ

I A = Vs/Ra = 26V/13kΩ = 2mA I B = Vs/Rb = 26V/10kΩ = 2.6mA

V R1 = I A * R1 = 2mA * 10kΩ = 20V V R2 = I A * R2 = 2mA * 3kΩ = 6V V R3 = I B * R3 = 2.6mA

* 2kΩ = 5.2V V R4 = I B * R4 = 2.6mA * 4.7kΩ = 12.2V V R5 = I B * R5 = 2.6mA * 3.3kΩ = 8.58V

I T = I A + I B = 2mA + 2.6mA = 4.6mA R T = R A * R B / R A + R B = 130/23 = 5.65kΩ

R T = V s / I t = 26V / 4.6mA = 5.65kΩ

5. Calculate component currents, loop voltages, current total and resistance total.

V s = 6V Loop A = R1 = 220Ω R2 = 100Ω Loop B = R3 = 510Ω R4 = 470Ω

R A = 1 / 1/R1 + 1/R2 = 1/ 1/220Ω + 1/100Ω = 68.8Ω

R B = 1 / 1/R3 + 1/R4 = 1 / 1/510Ω + 1/470Ω = 245Ω

V A = V s (R A / RA + R B) = 6V ( 68.8Ω/ (68.8Ω + 245Ω) = 1.32V

V B = V s ( R B / RA + RB ) = 6V ( 245Ω / (68.8Ω + 245Ω) = 4.68V

I R1 = V A / R1 = 1.32V / 220Ω = .006 or 6mA

I R2 = V A / R2 = 1.32V / 100Ω = .0132 or 13.2mA

I R3 = V B / R3 = 4.68V / 510Ω = .009176 or 9.18ma

I R4 = V B / R4 = 4.68V / 470Ω = .009957 or 9.96mA

R T = RA + RB = 68.8Ω + 245Ω = 313.8Ω

I T = V s / R t = 6V / 313.8 = .01912 or 19.1mA

8. Calculate component currents, loop voltages, current total and resistance total.

V s = 18V Loop A = R1 = 5.6kΩ R2 = 12kΩ Loop B = R3 = 2kΩ R4 = 3.6kΩ

Loop C = R5 = 7.5kΩ R6 = 10kΩ

R A = 1 / (1/R1) + (1/R2) = 1 / ( 1/5.6kΩ) + (1/12kΩ) = 3.819 or 3.82kΩ

R B = 1 / (1/R3) + (1/R4) = 1 / ( 1/2kΩ) + ( 1/3.6kΩ) = 1.285 or 1.29kΩ

R C = 1 / (1/R5) + (1/R6) = 1 / (1/7.5kΩ) + 1/10kΩ) = 4.29kΩ

V A = V s (R A/R A + R B + R C) = 18V (3.82kΩ/ (3.82kΩ + 1.29kΩ + 4.29kΩ) = 7.31V

V B = V s (R B/R A + R B + R C) = 18V (1.29kΩ/ (3.82kΩ + 1.29kΩ+ 4.29kΩ) = 2.47V

V C = V s (R C/R A + R B + R C) = 18V...