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Question
3. For the circuit shown below, find the current through and the potential difference across cach
resistor. Place your results in a table for case of reading.
+
12 V
40
ww
ww
12 02
24 (2
ww
www
3 Ω
502
ww
3 V
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Transcribed Image Text:3. For the circuit shown below, find the current through and the potential difference across cach resistor. Place your results in a table for case of reading. + 12 V 40 ww ww 12 02 24 (2 ww www 3 Ω 502 ww 3 V
Expert Solution
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Step 1

Here 4 Ω and 12 Ω are parallel in the circuit

4×124+12=3 Ω

Now 3 Ω and 5 Ω are in series

3Ω+5Ω=8 Ω

Then 8 Ω and 24 Ω are parallel in the circuit

8×248+24=6 Ω

Then  6 Ω and 1 Ω are in series

6+1=7 Ω

Total current in the circuit

I=12-37=1.285 A

Current through 3 Ω  is 1.285 A

The voltage across 3 Ω is

V3Ω=IR=1.285×3=3.855 V

Current through 24 Ω is

1.285×824+8=0.3212 A

Voltage across 24 Ω is 

V24Ω=0.3212×24=7.71 V

Current through 8Ω is 

1.285×2424+8=0.963 A

current through 5 Ω is 0.963 A

Voltage across 5 Ω is 

V5 Ω=0.963×5=4.815 V

current through 4 Ω is 0.963×1216=0.722 A 

current through 12 Ω is 0.963×416=0.2407 A

Voltage across 4 Ω is 

V4Ω=0.722×4=2.888 V

Voltage across 12 Ω is 

V12Ω=0.2407×12=2.884 V