Answer to Question #42684 in Electricity and Magnetism for Chad

Question

faraday's law is given by this equation V=-N dB/dt where V is the induced voltage, N is the number of loops ( inside the changing magnetic field) and dB/dt is just a symbol used in calculus to indicate the rate of change of the magnetic field, The equation for the output of a transformer is: V out= V in n out/n in where n out is the number of turns around the core at the output of the transformer and n in is the number of turns around the input of the transformer. Use these equations to solve the following problem: you have a coil with 20 loops inside a magnetic field generator that is temporarily generating a field that has a rate change of -0.25. The other end of this coil is wrapped around a core with 15 turns. How many turns must a second coil wrapped around the same coil have to produce an output voltage of 25 V?