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← JEE Main 2026 · 6 Apr · Shift 2
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JEE Main 2026 · 6 Apr · Shift 2, Physics question 49

Two cells of emfs 1 V and 2 V and internal resistance 2 Ω and 1 Ω, respectively connected in parallel, gave a current of 1 A through an external resistance. If the polarity of one cell is reversed, then value of current through the external resistance will be α5\dfrac\alpha5 A. The value of α\alpha is ________.

Answer and worked solution

Official answer: 3

Parallel cells.
Eeq=12+2112+11=53 V,req=23 Ω.E_{eq}=\frac{\frac12+\frac21}{\frac12+\frac11}=\frac53\text{ V},\qquad r_{eq}=\frac23\ \Omega.
A current of 1 A gives R=53−23=1R=\tfrac53-\tfrac23=1 Ω.

One cell reversed.
Eeq=∣21−12∣3/2=1 V,I=11+23=35 A.E_{eq}=\frac{\left|\frac21-\frac12\right|}{3/2}=1\text{ V},\qquad I=\frac1{1+\frac23}=\frac35\text{ A}.

Answer: 3