Current Electricity Charging Discharging Of Capacitors Question 604

Question: Two identical cells send the same current in $ 2,\Omega $ resistance, whether connected in series or in parallel. The internal resistance of the cell should be

[NCERT 1982; Kerala PMT 2002]

Options:

A) $ 1,\Omega $

B) $ 2,\Omega $

C) $ \frac{1}{2}\Omega $

D) $ 2.5,\Omega $

Show Answer

Answer:

Correct Answer: B

Solution:

In series , $ i _{1}=\frac{2E}{2+2r} $ In parallel, $ I _{2}=\frac{E}{2+\frac{r}{2}}=\frac{2E}{4+r} $ Since $ i _{1}=i _{2} $

Therefore $ \frac{2E}{4+r}=\frac{2E}{2+2r} $

Therefore $ r=2\Omega $