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MHT CET202616 April 2026Evening ShiftPhysicsElectromagnetic InductionActual

In the given circuit, if dI/dt = -1 A/s then the value of V_ AB at this instant will be

Options

  1. A30 V
  2. B20 V
  3. C10 V
  4. D15 V

Correct answer

D. 15 V

Step-by-step solution

Applying Kirchhoff's Voltage Law (KVL) from point A to point B: V_A - IR - L dI dt - V_ battery = V_B Given: I = 2 A R = 6 L = 3 H dI dt = -1 A/s V_ battery = 6 V (Moving from left to right along the bottom wire, the path goes from the positive to the negative terminal, so it is a potential drop) Substituting the values into the KVL equation: V_A - (2)(6) - (3)(-1) - 6 = V_B V_A - 12 + 3 - 6 = V_B V_A - 15 = V_B V_ AB = V_A - V_B = 15 V Answer: 15 V

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