A battery of emf E has an internal resistance r. A variable resistacne R is connected to the terminals of the battery. A current `i` is drawn from the battery. V is the terminal potential difference. If R alone is gradually reduced to zero, which of the following best describes `i` and V?

Options

A. I approaches zero, V approaches `epsilon`
B. I approaches `epsilon//r`, V approaches zero
C. I approaches `epsilon//r`, V approaches `epsilon`
D. I approaches infinity, V approaches `epsilon`

Answer

B

Explanation

The current drawn from the battery is
`I=(epsilon)/(R+r)`
The terminal potential differene is `V=IR`
When `Rrarr0,Irarr(epsilon)/(r )`
When `Rrarr0,Vrarr0`