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← JEE Main 2022 · 25 Jun · Shift 2
PhysicsSingle correct+4 / -1Question 39 of 90

JEE Main 2022 · 25 Jun · Shift 2, Physics question 39

Two cells of same emf but different internal resistances r1r_1 and r2r_2 are connected in series with a resistance RR. The value of resistance RR, for which the potential difference across second cell is zero, is :

Choose one option
Answer and worked solution

Official answer: A

Current. I=2ER+r1+r2I=\dfrac{2E}{R+r_1+r_2}.

Second cell's terminal voltage zero: E=Ir2E=Ir_2, so R+r1+r2=2r2R+r_1+r_2=2r_2, i.e. R=r2−r1R=r_2-r_1.

(A)