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JEE Main 202331 JanuaryEvening Shift
Exam
JEE Main
Year
2023
Date
31 January
Shift
Evening Shift
Subject
Physics
Chapter
Current Electricity

JEE Main 2023 · 31 January · Evening Shift · Physics · Current Electricity

For the given circuit, in the steady state, | V _ B - V _ D | =...

For the given circuit, in the steady state, ∣VB−VD∣=\left|{V}_{B} - {V}_{D}\right| = _____ VV.

For the given circuit, in the steady state, | V _ B - V _ D | = _____ V .

Correct answer

0

Step-by-step solution

For the given circuit, in the steady state, | V _ B - V _ D | = _____ V .

At steady state current will not pass through capacitor, therefore effective resistance between B and C will be only 1Ω1Ω. Modified circuit will be as shown below.

For the given circuit, in the steady state, | V _ B - V _ D | = _____ V .

⇒iAB=63=2A⇒ {i}_{AB} = \dfrac{6}{3} = 2A and iAD=612=0.5A{i}_{AD} = \dfrac{6}{12} = 0 . 5A

Applying Kirchoff's law along path BAD, we get

⇒VB+(2×2)−(10×0.5)=VD⇒ {V}_{B} + \left(2 \times 2\right) - \left(10 \times 0 . 5\right) = {V}_{D}

⇒VB−VD=1V⇒ {V}_{B} - {V}_{D} = 1V.

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