QJEEM18Ph8a46: JEE Main 2018 Physics - Class 12 JEEM18Ph8a46 Solution: Two batteries with e.m.f 12 V and 13 V are connected in…

Question

Verified Solution • 2025–26 Session moderate

Two batteries with e.m.f 12 V and 13 V are connected in parallel across a load resistor of 10

Ω

. The internal resistances of the two batteries are 1

Ω

and 2

Ω

respectively. The voltage across the load lies between :

Accepted Answer

Let potential at S, T, R = V and potential at P, Q, U, = 0

Using kirchhoff's law at P :

Current at P is ,

\frac{V - 12}{1} + \frac{V - 13}{2} + \frac{V - 0}{10} = 0

\Rightarrow

\frac{V}{1}

+

\frac{V}{2}

+

\frac{V}{10}

= 12 +

\frac{13}{2}

\Rightarrow

\frac{10 V + 5 V + V}{10}

=

\frac{37}{2}

\Rightarrow

\frac{16 V}{10}

=

\frac{37}{2}

\Rightarrow

V = 11.56 Volt.

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