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Question

Physics Question on Current electricity

The effective resistance across the points P and Q is

A

r4\frac{r}{4}

B

r2\frac{r}{2}

C

r8\frac{r}{8}

D

r16\frac{r}{16}

Answer

r2\frac{r}{2}

Explanation

Solution

Since, the potential at A1F{{A}_{1}}F is same. The potential at A, O and E is same. The potential at C and D is same. ∴\therefore The circuit can be reduced toThe equivalent resistance of part (i) is 1R1=1r+1r+1r+1r\frac{1}{{{R}_{1}}}=\frac{1}{r}+\frac{1}{r}+\frac{1}{r}+\frac{1}{r} or R1=r4{{R}_{1}}=\frac{r}{4} Similarly, R2=r4{{R}_{2}}=\frac{r}{4} RPQ=R1+R2=r2{{R}_{PQ}}={{R}_{1}}+{{R}_{2}}=\frac{r}{2}