75. The capacitor in FIGURE P 30.75 is initially charged to , the capacitor is uncharged, and the switches are both open.
a. What is the maximum voltage to which you can charge the capacitor by the proper closing and opening of the two switches?
b. How would you do it? Describe the sequence in which you would close and open switches and the times at which you would do so. The first switch is closed at .
Part (a) The maximum voltage has is 50 V
The capacitance of two different capacitor is
The amount of energy stored in the capacitor is
The maximum energy stored in the first capacitor is equal to the maximum energy stored in the second capacitor.
The maximum voltage has is
Possible Sequence is:
1). Close and hence tank circuit is formed between and leading to sinusoidal oscillations of energy moving between and L.
2). Close open at an instant where the potential on . Thus the energy present in becomes zero and consequently transferred to the and stored in it as magnetic energy. Now a new current direction for the inductor current is through , making a new tank circuit which contains all the initial energy of
3). Open when current drops to zero in new tank circuit, parting with all the energy and hence the maximum charge is achieved.
The possible steps for switching strategies to keep maximum voltage of 1200 micro are Close , close open and Open .
The square loop shown in moves into a magnetic field at a constant speed of.The loop has a resistance of , and it enters the field at
a. Find the induced current in the loop as a function of time. Give your answer as a graph of ii versus from to
b. What is the maximum current? What is the position of the loop when the current is maximum?
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