Question

a) Draw and label your own circuit diagram using standard schematic symbols for a circuit with a 12 V battery, a 15 ohm resistor, a 400 mH inductor, and a switch, all in series.

b) Write a diffferential equation (in the form of a loop equation) describing the behavior of this circuit after the switch is closed.

c) The switch is first closed at time t = 0. Write down an equation for current in the circuit as a function of time.

d) Use integration to find the total amount of heat that has been dissipated in the resistor from t = 0, when the switch was closed, until t = 0.040 seconds

e) What is the energy stored in the inductor after 0.040 seconds have elapsed since closing the switch?

f) What is the total work done by the battery between t = 0 and t = 0.040 seconds?

Answer 1

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