The potential difference across the terminals | vedclass

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Question

(A) The circuit consists of a battery with electromotive force $E = 10 \ V$ and internal resistance $r = 1 \ \Omega$,connected in series with an exter

Vedclass · Accepted Answer

$8$

Vedclass · Answer

(A) The circuit consists of a battery with electromotive force $E = 10 \ V$ and internal resistance $r = 1 \ \Omega$,connected in series with an external resistor $R = 4 \ \Omega$.The total resistance of the circuit is $R_{eq} = R + r = 4 \ \Omega + 1 \ \Omega = 5 \ \Omega$.The current flowing through the circuit is $I = \frac{E}{R_{eq}} = \frac{10 \ V}{5 \ \Omega} = 2 \ A$.The potential difference across the terminals of the battery is given by $V = E - Ir$.Substituting the values,we get $V = 10 \ V - (2 \ A 	imes 1 \ \Omega) = 10 \ V - 2 \ V = 8 \ V$.Therefore,the correct option is $A$.

The potential difference across the terminals of the battery shown in the figure is ................. $V$. ($r$ = internal resistance of the battery)

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