# A cell having an emf and internal resistance r is connected across a variable external resistance R. As the resistance R is increased, the plot of potential difference V across R is given by: Option 1) Option 2) Option 3) Option 4)

As discussed in

Current in the circuit $I=\frac{\epsilon }{R+r}$

Potential difference across R:    $V=IR=\left( \frac{\epsilon}{R+r} \right )R$

When,

$R=0, \:\:\:\:\:V=0$

$R=\alpha , \:\:\:\:\:V=\epsilon$

Option 1)

This option is incorrect.

Option 2)

This option is correct.

Option 3)

This option is incorrect.

Option 4)

This option is incorrect.

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