3. (15 points) A square coil of wire of side length 20 em with 500 turns is in a uniform magnetic field whose magnitude is increasing at a rate of (.25 T/s, as shown in the figure below. (a) (3 points) Is there an induced current in this coil? If so, in which direction does the current low? Explain your answers. (b) (3 points) What is the EMF induced in the coil? () Let the coil above be the power source for the cirenit shown below. 20 i. (3 points) What is the equivalent resistance of this circuit? ii. (3 points) What is the current flowing through coil? (You can neglect the resistance of the coil.) iil. (3 points) What is the power output of the coil