71. II An LC circuit is built with a inductor and an capacitor. The capacitor voltage has its maximum value of at .
a. How long is it until the capacitor is first fully discharged?
b. What is the inductor current at that time?
Part (a) The time taken to discharge the capacitor is .
Part (b) The inductor current at that time is .
The general equation for angular velocity is the square root of the product of the capacitance of the capacitor and inductance of the inductor.
The general relationship between angular frequency and period is,
Here, C is the capacitor and L is the inductor, T is time
The time taken to completely discharge the capacitor is equal to one half the time periods.
Hence, the time taken to discharge the capacitor is
The energy stored in the capacitor is,
The energy stored in the inductor is,
Equate the potential energy stored in the capacitor is equal to potential energy stored in inductor.
Hence, the inductor current at that time is
Experiments to study vision often need to track the movements BI0 of a subject's eye. One way of doing so is to have the subject sit in a magnetic field while wearing special contact lenses with a coil of very fine wire circling the edge. A current is induced in the coil each time the subject rotates his eye. Consider the experiment of FIGURE P30.60 in which a 20 -turn, 6.0-mm-diameter coil of wire circles the subject's cornea while a 1.0 T magnetic field is directed as shown. The subject begins by looking straight ahead. What is induced in the coil if the subject shifts his gaze by
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