Question

Answer the following:

Electric Circuit I 1. Determine the voltage across each resistor and the current through each resistor. 2. Determine the equivalent resistance between points A and B.

Answer 1

equivalent resistance

6 and 6 ohms are in parallel

6*6/(6+6)=3 ohms

3 and 7 ohms are in series ,so equivalent resistance

R_eq=3+7=10 ohms

Total Current flowing in the circuit

I=V/R_eq=10/10=1 A

Voltage across each element

V₇=I*7=1*7= 7 Volts

V₁=V₂=V-V₇=10-7 3 Volts

so

V₇=7 Volts

V₁=3 Volts

V₂=3 Volts

Current through each resistor

I₇=I=1 A

I₁=V₁/6 =3/6 =0.5 A

I₂=V₂/6=3/6=0.5 A

2)

Three 12 ohm's resistor are in parallel

1/R₁₂=1/12+1/12+1/12

R₁₂=4 ohms

8 and 8 ohms are in parallel

8*8/(8+8)=4 ohms

8 and 8 ohms are in parallel

8*8/(8+8)=4 ohms

4,4,and 4 ohms are in series

4+4+4=12 ohms

12 ohms and 12 ohms are in parallel

12*12/(12+12)=6 ohms

4 ,6 and 4 ohms are in series ,so equivalent resistance

R_AB=4+4+6=14 ohms

Answer 2

use formula for equivalent resitance

Answer 3