The potential difference across the terminals of a battery is 50 V when 11 A current is drawn and 60 V when 1 A current is drawn. The emf and the internal resistance of the battery are

Question

The potential difference across the terminals of a battery is 50 V when 11 A current is drawn and 60 V when 1 A current is drawn. The emf and the internal resistance of the battery are (A)  62 V, 2 Ω  (B)  63 V, 1 Ω  (C)  61 V, 1 Ω  (D)  64 V,2 Ω

Tardigrade Admin · Accepted Answer

For a closed circuit, cell supplies a constant current in the circuit.

Equation of cell

E = V + I r

For

V = 50

volt

E = 50 + 11 r ... (i)

Similarly for

V = 60

volt

E = 60 + r ... (ii)

From Eqs. (i) and (ii), we get

r = 1 Ω

Substiruting the value of

r

in

Eq

(i), we get

E = 61 V

Q. The potential difference across the terminals of a battery is $50 V$ when $11 A$ current is drawn and $60 V$ when $1 A$ current is drawn. The emf and the internal resistance of the battery are

$62 V, 2 Ω$

$63 V, 1 Ω$

$61 V, 1 Ω$

$64 V, 2 Ω$

For a closed circuit, cell supplies a constant current in the circuit.

Equation of cell $E = V + I r$
For $V = 50$ volt
$E = 50 + 11 r ... (i)$
Similarly for $V = 60$ volt
$E = 60 + r ... (ii)$
From Eqs. (i) and (ii), we get
$r = 1 Ω$
Substiruting the value of $r$ in $Eq$ (i), we get
$E = 61 V$

Q. The potential difference across the terminals of a battery is 50V when 11A current is drawn and 60V when 1A current is drawn. The emf and the internal resistance of the battery are

62V,2Ω

63V,1Ω

61V,1Ω

64V,2Ω