Physics Practice Problems Faraday's Law with Calculus Practice Problems Solution: A spatially homogeneous magnetic field changes in ...

Solution: A spatially homogeneous magnetic field changes in time according to the equation B = B0(3t 2 + t + k) where B0 and k are constants. The field "flows" through a fixed area A with an inclination angle φ = 60° with respect to the (perpendicular to the) area. Find an algebraic expression for the emf  induced around a circuit enclosing the area A, as a function of time.

Problem

A spatially homogeneous magnetic field changes in time according to the equation B = B0(32 + t + k) where B0 and are constants. The field "flows" through a fixed area A with an inclination angle φ = 60° with respect to the (perpendicular to the) area. Find an algebraic expression for the emf  induced around a circuit enclosing the area A, as a function of time.