JEE Main · 2024 · 27 Jan 2024 · Shift 2 · Current Electricity

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Three voltmeters, all having different internal resistances are joined as shown in figure. When some potential difference is applied across A and B, their readings are

V_{1}, V_{2}

and

V_{3}

. Choose the correct option.

(A) $V_{1} = V_{2}$
(B) $V_{1} \neq = V_{3} - V_{2}$
(C) $V_{1} + V_{2} > V_{3}$
(D) $V_{1} + V_{2} = V_{3}$ ✓ Correct

Answer: (D)

Solution

V1 and V2 sit in series across the top branch between A and B, while V3 reads directly across A and B. Applying Kirchhoff's voltage law around the loop formed by all three voltmeters,

V_{1} + V_{2} - V_{3} = 0 ⟹ V_{1} + V_{2} = V_{3} .

JEE Main · 2024 · 27 Jan 2024 · Shift 2 · Single correct option

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