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 E
B. I approaches E/r, V approaches zero
C. I approaches E/r, V approaches E
D. I approaches infinity, V approaches E

Answer

B

Explanation

`V = E - Ir = E -(E/(r +R))r`
`R to 0, V to 0`
`E= i(r + R), R to 0, E to Ir rArr I = E//r`