In the given circuit, the potential difference between $A$ and $B$ is

In the given circuit, the potential difference between $A$ and $B$ is
  1. $0$
  2. 5 volt
  3. 10 volt
  4. 15 volt.

Solution

Here $p-n$ junction is forward biased. If $p-n$ junction is ideal, its resistance is zero. The effective resistance across $A$ and $B$ $=\frac{10 \times 10}{10+10}=5 \mathrm{~K} \Omega$ Current in the circuit $I=\frac{30}{(10+5) \times 10^3}=\frac{2}{10^3}$ $\therefore$ Current in each arm $=\frac{I}{2}=\frac{1}{10^3} \mathrm{~A}$. Pot. diff. across $A$ and $B$ $=\frac{1}{10^3} \times 10 \times 10^3=10 \mathrm{~V}$

Asked in: NEET 2012 (Mains)

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