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Identify the initial and final magnetic flux.

April 13, 2026Physics

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\text{8 V}

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Identify the initial and final magnetic flux.
Initial magnetic flux $\Phi_1 = 80 \text{ µWb}$ .
Since the flux is reversed, the final magnetic flux $\Phi_2 = -80 \text{ µWb}$ .
Calculate the change in magnetic flux $\Delta \Phi$ .
$\Delta \Phi = \Phi_2 - \Phi_1 = (-80 \text{ µWb}) - (80 \text{ µWb})$ $\Delta \Phi = -160 \text{ µWb} = -160 \times 10^{-6} \text{ Wb}$
Apply Faraday's Law of Induction, $\mathcal{E} = -N \frac{\Delta \Phi}{\Delta t}$ .
Given $N = 500$ turns and $\Delta t = 0.01 \text{ s}$ .
$\mathcal{E} = -(500) \times \frac{-160 \times 10^{-6} \text{ Wb}}{0.01 \text{ s}}$ $\mathcal{E} = (500) \times \frac{160 \times 10^{-6}}{0.01} \text{ V}$ $\mathcal{E} = 500 \times 160 \times 10^{-4} \text{ V}$ $\mathcal{E} = 80000 \times 10^{-4} \text{ V}$ $\mathcal{E} = 8 \text{ V}$
The induced EMF is $\text{8 V}$ .

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