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← JEE Main 2022 · 27 Jul · Shift 1
PhysicsSingle correct+4 / -1Question 41 of 90

JEE Main 2022 · 27 Jul · Shift 1, Physics question 41

Two sources of equal emfs are connected in series. This combination is connected to an external resistance R. The internal resistances of the two sources are r1r_1 and r2r_2 (r1>r2)(r_1>r_2). If the potential difference across the source of internal resistance r1r_1 is zero, then the value of R will be :

Choose one option
Answer and worked solution

Official answer: A

Current I=2ER+r1+r2I=\frac{2E}{R+r_1+r_2}. Zero terminal voltage means E=Ir1E=Ir_1.

So R+r1+r2=2r1R+r_1+r_2=2r_1 and R=r1−r2R=r_1-r_2. (A)