Q. 75

Expert-verified
Found in: Page 874

Physics for Scientists and Engineers: A Strategic Approach with Modern Physics

Book edition 4th
Author(s) Randall D. Knight
Pages 1240 pages
ISBN 9780133942651

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

See the step by step solution

Step 1. Given information

The capacitance of two different capacitor is

The amount of energy stored in the capacitor is

Part (a)

The maximum energy stored in the first capacitor is equal to the maximum energy stored in the second capacitor.

The maximum voltage has is

Part (b)

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.

Conclusion:

The possible steps for switching strategies to keep maximum voltage of 1200 micro are Close , close open and Open .