All AP Physics C Electricity Resources
Example Question #1 : Using Faraday's Law
A wire loop of area is placed in a magnetic field whose magnitude varies with time according to the equation . The loop is held in place, perpendicular to the field. If the wire has resistance , what is the magnitude of the maximum instantaneous current induced in the loop?
Write the expression for the flux using the given expression for the magnetic field strength:
Take the derivative of this flux to find the induced emf:
Determine the maximum value of , and replace with this value, to find the maximum induced emf:
Plug this maximum induced emf into , to find the maximum induced current: