Question

A coil with an area of 94.5 cm^2 rotates inside a uniform (and constant) magnetic field with a magnitude of 8.5 T. The vector area A of the coil is defined by the right-hand rule, with the direction on the coil along which the emf is defined to be positive, as described in the lecture notes. At t = 0 s, A is along the direction of the magnetic field. The angular velocity of the rotation is not constant but given by ω(t) = dθ(t)/dt = 7.6t rad/s^2, where θ(t) is the angle between the vector area and the magnetic field at time t. Define the average induced emf from t = 0 s to t = τ by ε_av = (1/τ) ∫(0 to τ) ε dt. Find ε_av (in units of V) for τ = 1.18 s.

          A coil with an area of 94.5 cm^2 rotates inside a uniform (and constant) magnetic field with a magnitude of 8.5 T. The vector area A of the coil is defined by the right-hand rule, with the direction on the coil along which the emf is defined to be positive, as described in the lecture notes. At t = 0 s, A is along the direction of the magnetic field. The angular velocity of the rotation is not constant but given by ω(t) = dθ(t)/dt = 7.6t rad/s^2, where θ(t) is the angle between the vector area and the magnetic field at time t.
Define the average induced emf from t = 0 s to t = τ by ε_av = (1/τ) ∫(0 to τ) ε dt.
Find ε_av (in units of V) for τ = 1.18 s.

Added by Gwendolyn S.

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