A conducting sphere loop has an area of 0.065 m^2 and is positioned such that a

Question

A conducting sphere loop has an area of 0.065 m^2 and is positioned such that a uniform magnetic field is perpendicular to the plane of the loop. When the magnitude of the magnetic field decreases to 0.30 T in 0.087 s, the average induced emf in the loop is 1.2 V. What is the initial value of the magnetic field? a)0.42 T b)0.75 T c)0.87 T d)1.2 T e) 1.9 T A conducting sphere loop has an area of 0.065 m^2 and is positioned such that a uniform magnetic field is perpendicular to the plane of the loop. When the magnitude of the magnetic field decreases to 0.30 T in 0.087 s, the average induced emf in the loop is 1.2 V. What is the initial value of the magnetic field? a)0.42 T b)0.75 T c)0.87 T d)1.2 T e) 1.9 T

Explanation / Answer

The magnetude of the induced emf is e = A[dB/dt] (1.20 V) = (0.065 m^2)[(B - 0.30 T)/(0.087 s)] B = 1.906 T

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