In the network of 6 wires, each has same electrical conductances equal to C. The effective resistance between A and B will be

(1) $\frac{1}{3 C}$ (2) $\frac{1}{2 C}$ (3) $\frac{1}{C}$ (4) $\frac{1}{4 C}$

Question

In the network of 6 wires, each has same electrical conductances
equal to C The effective resistance between A and B will
be

(1) 1 3 C (2) 1 2 C (3) 1 C (4) 1 4 C

Sanjay Singh · Accepted Answer

Dear student
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No current will flow in the middle resistor as the upper part of the circuit forms a balanced wheatstone bridge
So this resistor can be removed fro the circuit
The equivalent circuit diagram is as shown in the figure
From the figure equivalent resistance of the circuit is1Reqv=12R+12R+1R1Reqv=22R+1R1Reqv=1R+1R=2RReqv=R2=12C (R=1C)Regards

In the network of 6 wires, each has same electrical conductances equal to C. The effective resistance between A and B will be (1) 1 3 C (2) 1 2 C (3) 1 C (4) 1 4 C

In the network of 6 wires, each has same electrical conductances equal to C. The effective resistance between A and B will be

(1) $\frac{1}{3 C}$ (2) $\frac{1}{2 C}$ (3) $\frac{1}{C}$ (4) $\frac{1}{4 C}$