A coil of 500 turns has a magnetic flux of 0.4 Wb linking it. If this flux is reversed in 0.01 s, what is the induced EMF in the coil?

April 13, 2026Physics

ScanSolve AI Answer

April 13, 2026

Answer

40000 V

Step 1: Identify the given values. Number of turns, $N = 500$ . Initial magnetic flux, $\Phi_1 = 0.4 \text{ Wb}$ . Since the flux is reversed, the final magnetic flux, $\Phi_2 = -0.4 \text{ Wb}$ . Time interval, $\Delta t = 0.01 \text{ s}$ .

Step 2: Calculate the change in magnetic flux $\Delta \Phi$ . $\Delta \Phi = \Phi_2 - \Phi_1$ $\Delta \Phi = (-0.4 Wb) - (0.4 Wb)$ $\Delta \Phi = -0.8 \text{ Wb}$

Step 3: Apply Faraday's Law of Induction to find the induced EMF $\mathcal{E}$ . $\mathcal{E} = -N \frac{\Delta \Phi}{\Delta t}$ $\mathcal{E} = -(500) \times \frac{-0.8 Wb}{0.01 s}$ $\mathcal{E} = (500) \times \frac{0.8}{0.01} \text{ V}$ $\mathcal{E} = 500 \times 80 \text{ V}$ $\mathcal{E} = 40000 \text{ V}$ The induced EMF is $\boxed{40000 V}$ .

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Identify the given values. Number of turns, N = 500.

Asked on April 13, 2026Physics

This physics problem tests your understanding of fundamental physical laws and their applications. The step-by-step solution below breaks down the problem using relevant equations and physical reasoning.

ScanSolve AI AnswerAnswered on April 13, 2026

Step 1: Identify the given values. Number of turns, N = 500. Initial magnetic flux, _1 = 0.4 Wb. Since the flux is reversed, the final magnetic flux, _2 = -0.4 Wb. Time interval, t = 0.01 s. Step 2: Calculate the change in magnetic flux . = _2 - _1 = (-0.4 Wb) - (0.4 Wb) = -0.8 Wb Step 3: Apply Faraday's Law of Induction to find the induced EMF E. E = -N ( )/( t) E = -(500) × -0.8 Wb0.01 s E = (500) × (0.8)/(0.01) V E = 500 × 80 V E = 40000 V The induced EMF is 40000 V. Got more? Send 'em