NIU ELE 100 Quiz 8

What is the total resistance in the circuit shown here? 7.5 Ω - series 2 Ω - series 3 Ω - series 5 Ω - parallel to 2 Ω and 3 Ω 15 V

10 Ω Solution: 2Ω + 3Ω = 5Ω 5Ω / 2 = 2.5Ω 2.5Ω + 7.5Ω = 10Ω

What is the total resistance between the terminals A &B in the circuit shown here? R3 = 900 Ω - parallel R2 = 100 Ω - parallel R1 = 10 Ω - series

100 Ω Solution: 900Ω * 100Ω = 90,000Ω 900Ω + 100Ω = 1,000Ω 90,000Ω / 1,000Ω = 90Ω 90Ω + 10Ω = 100Ω

What is the total resistance in the circuit shown below? R2 = 10 Ω - parallel R1 = 10 Ω - parallel R3 = 5 Ω - series V1 = 20 V

10 Ω Solution: 10Ω / 2 = 5Ω 5Ω + 5Ω = 10Ω

What is the main current flowing in the circuit shown below? 7.5 Ω - series 2 Ω - series 3 Ω - series 5 Ω - parallel to 2 Ω and 3 Ω 15 V

1.5 A Solution: 2Ω + 3Ω = 5Ω 5Ω / 2 = 2.5Ω 2.5Ω + 7.5Ω = 10Ω 15V / 10Ω = 1.5A

What are the values of the currents I1 and I2 in the circuit shown below? R4 = 25 Ω - parallel - I2 R3 = 5 Ω - series R2 = 10 Ω - parallel to R4 and R3 - I1 R1 = 2.5 Ω - series - I TOT 24 V

1.8 Amps and 0.6 Amps Solution: 25Ω + 5Ω = 30Ω 1 / 30Ω + 1 / 10Ω = 0.033Ω + 0.1Ω = 0.133Ω 1 / 0.133Ω = 8Ω 8Ω + 2.5Ω = 10.5Ω 24V / 10.5Ω = 2.29A I1 = (25Ω + 5Ω) = 30Ω 30Ω / (30Ω + 10Ω) = 30Ω / 40Ω = 0.75Ω 0.75Ω * 2.29A = 1.8A I2 = 10Ω / (30Ω + 10Ω) = 10Ω / 40Ω = 0.25Ω 0.25Ω + 2.29A = 0.6A

What is the total equivalent resistance for the circuit shown here? 6 Ω - series 10 Ω - series 6 Ω - parallel to 6 Ω and 10 Ω 3 Ω - series 2 Ω - series 5 Ω - parallel to 3 Ω and 2 Ω 15 V

15.5 Ω Solution: 6Ω / 2 = 3Ω 10Ω + 3Ω = 13Ω 2Ω + 3Ω = 5Ω 5Ω / 2 = 2.5Ω 13Ω + 2.5Ω = 15.5Ω

What is the voltage drop across the resistor R1 ( 2Ω) in the circuit shown here? 1 Ω - parellel 1 Ω - parellel 2 Ω - series 20 V

16 V Solution: 1Ω / 2 = 0.5Ω 0.5Ω + 2Ω = 2.5Ω 20V / 2.5Ω = 8A 2Ω * 8A = 16V

What is the current flowing through each of the two 10 Ω resistors in the circuit shown below? R2 = 10 Ω - parallel R1 = 10 Ω - parallel R3 = 5 Ω - series V1 = 20 V

1A, 1A Solution: 10Ω / 2 = 5 Ω 5Ω + 5Ω = 10Ω 20V / 10Ω = 2A 2A / 2 = 1A

What is the total equivalent resistance for the circuit shown here? 1 Ω - parellel 1 Ω - parellel 2 Ω - series 20 V

2.5 Ω Solution: 1 / 2 = 0.5Ω 2Ω + 0.5Ω = 2.5Ω

What is the total equivalent resistance for the circuit shown here? R4 = 50 Ω - parallel R3 = 50 Ω - parallel R2 = 15 Ω - series R1 = 10Ω - parallel to R3 and R2 RT ->

8 Ω Solution: 50Ω / 2 = 25Ω 25Ω + 15Ω = 40Ω 1 / 40Ω + 1 / 10Ω = 0.025Ω + 0.1Ω = 0.125Ω 1 / 0.125Ω = 8Ω