JEE Main · 2019 · 10 Jan 2019 · Shift 1 · Current Electricity

In the given circuit the cells have zero internal resistance. The currents (in Amperes) passing through resistance

R_{1}

and

R_{2}

respectively, are:

(A)1,2
(B)2,2
(C) $0.5, 0$ ✓ Correct
(D)0,1

Answer: (C)

Solution

Because both cells have zero internal resistance, each branch is governed purely by the resistors and the emfs stamped on it. Following the loop that contains

R_{2}

, the cell emfs sitting on either side of that branch are arranged to oppose and cancel, so no net potential is left to drive it and the current through

R_{2}

is zero. That leaves a single live loop feeding

R_{1}

, and Kirchhoff's voltage law around it with the given emf and

R_{1}

fixes that current at half an ampere. So

R_{1}

carries

0.5

A while

R_{2}

carries none.

JEE Main · 2019 · 10 Jan 2019 · Shift 1 · Single correct option

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