A circular metal ring of radius a and resistance R is in a uniform magnetic field that is in a direction parallel to the direction of the plane of the ring. The magnitude of the magnetic field varies with time according to the equation B = B_(0)e^(-t/τ). Neglect the emf produced by the changing magnetic field of the induced current. (a) Obtain an expression for the current I induced in the ring as a function of time. (b) If a = 20.0 cm, R = 0.0500 Ω, B0 = 0.150 T, and τ = 0.0300 s, what are the magnitude of the magnetic flux through the ring and the induced current in the ring at t = 0?

A circular metal ring of radius a and resistance R is in a uniform magnetic field that is in a direction parallel to the direction of the plane of the ring. The magnitude of the magnetic field varies with time according to the equation B = B_(0)e^(-t/τ). Neglect the emf produced by the changing magnetic field of the induced current. (a) Obtain an expression for the current I induced in the ring as a function of time. (b) If a = 20.0 cm, R = 0.0500 Ω, B0 = 0.150 T, and τ = 0.0300 s, what are the magnitude of the magnetic flux through the ring and the induced current in the ring at t = 0?

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Question

A circular metal ring of radius a and resistance R is in
a uniform magnetic field that is in a direction parallel to
the direction of the plane of the ring. The magnitude of
the magnetic field varies with time according to the
equation B = B_(0)e^(-t/τ). Neglect the emf produced by the
changing magnetic field of the induced current. (a)
Obtain an expression for the current I induced in the
ring as a function of time. (b) If a = 20.0 cm, R =
0.0500 Ω, B0 = 0.150 T, and τ = 0.0300 s, what are the
magnitude of the magnetic flux through the ring and the
induced current in the ring at t = 0?

Expert Solution