A coil of turns

PHYSICS · Multi-part · A Level · Physics · Fields and their consequences · Fields and their consequences

Problem

A coil of 150150 turns, each of area 80 cm280\,\text{cm}^2, is fixed with its plane perpendicular to a uniform magnetic field whose magnitude varies with time as B(t)=0.50 sin⁡(120πt) TB(t)=0.50\,\sin(120\pi t)\,\text{T}, where tt is in seconds. (i) Obtain an expression for the instantaneous emf induced in the coil as a function of time. (ii) Calculate the maximum (peak) value of the induced emf. (iii) Find the induced emf at t=5.0 mst = 5.0\,\text{ms}.

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