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 ΩGiven 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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