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Question

Calculate the effective resistance of the following electric circuit.

A
319 Ω
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B
1126 Ω
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C
1528 Ω
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D
723 Ω
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Solution

The correct option is C 1528 Ω
Given circuit diagram:
The three resistors between the nodes A, B and E are in parallel.
1/Reff,1=1/1+1/1+1/1=3
Reff,1=13 Ω ------ (1)
Similarly, the three resistors between the nodes C, D and E are in parallel.
Reff,2=13 Ω ------ (2)
Also the two resistors between E and C are in series.
Reff,3=1+1=2 Ω ----- (3)

Reff,2 and Reff,3 are in parallel.
1/Reff,4=1/Reff,2+1/Reff,3=3+1/2=7/2
Reff,4=27 Ω ----- (4)

Reff,1 and the resistor between A and E are in parallel.
1/Reff,5=1/Reff,1+1/1=3+1=4
Reff,5=14 Ω ----- (5)

Effective resistance of the circuit, Reff=Reff,5+Reff,4=14+27=7+828=1528 Ω.

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