Use the following circuit made of four resistors and a battery to answer questio

Question

Use the following circuit made of four resistors and a battery to answer questions 5–10. Note: All resistors have the same resistance, R = 5 , and the battery provides 50 V.

1. What is the equivalent resistance of the circuit?

2. What is the current through the battery (main current)?

A. 4 A
B. 2.25 A
C. 56.25 A
D. 2.20 A

3. What is the voltage across R1?

D. 20 V

4. What is the voltage across R4?

D. 20 V

5. What is the voltage across R2?

6. What current passes through resistor R3?

A. 20 B. 12.5 C. 20.4 D. 0.8

2. What is the current through the battery (main current)?

A. 4 A
B. 2.25 A
C. 56.25 A
D. 2.20 A

3. What is the voltage across R1?

A. 12 V B. 24 V C. 45 V

D. 20 V

4. What is the voltage across R4?

A. 12 V B. 24 V C. 45 V

D. 20 V

5. What is the voltage across R2?

A. 20 V B. 15 V C. 10 V D. 25 V

6. What current passes through resistor R3?

A. 5 A B. 10 A C. 3 A D. 2 A

Explanation / Answer

1) B) 12.5 ohms

Rnet = 5 + 5*5/(5+5) + 5

= 12.5 ohms

2) A)4 A

current thorugh the battery, I = V/Rnet

= 50/12.5

= 4 A

3) D) 20 volts

V1 = I*R1

= 4*5

= 20 volts

4) D) 20 volts

V4 = I*R4

= 4*5

= 20 volts

5) C) 10 V

V2 = V - (V1+V4)

= 50 - (20+20)

= 10 V

6) B) 10 V

Here, R2 and R3 are paralle. so potential across them is same.

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