Question #329210

The magnetic flux through a coil of wire containing two loops changes at a constant rate from -58 Wb to 38 Wb in 0.34 s. What is the emf induced in the coil?


1
Expert's answer
2022-04-17T17:07:21-0400

The emf induced in the coil is given by the Faraday's law:


E=ΔΦBΔt\mathcal{E} = -\dfrac{\Delta\Phi_B}{\Delta t}

where ΔΦB=38Wb(58Wb)=66Wb\Delta\Phi_B = 38 Wb - (-58 Wb) = 66Wb is the change in magnetic flux, and Δt=0.34s\Delta t = 0.34s is the time elapsed. Thus, obtain:


E=66Wb0.34s1.9×102V\mathcal{E} = -\dfrac{66Wb}{0.34s} \approx 1.9\times 10^2V

Answer. 1.9×102V1.9\times 10^2V.


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