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Exercise 26.42 You connect a battery, resistor, and capacitor as in (Figure wher

ID: 3162451 • Letter: E

Question

Exercise 26.42 You connect a battery, resistor, and capacitor as in (Figure where R 14.0 n and Ca 6.00 x 10 F The switch Sis closed at t 0. When the current in the circuit has magnitude 3.00 A, the charge on the capacitor is 40.0 x 10 6 C. Figure 1 v of 1 Switch open Part A What is the emf of the battery? Express your answer with the appropriate units. E Value Units Submit My An give UR Part B At what time t after the switch isclosed is the charge on the capacitor equal to 40.0 x 10 C Express your answer with the appropriate units. Value Units My Answers Give Up Submit Part C When the current has magnitude 3.00 A, at what rate is energy being stored in the capacitor Express your answer with the appropriate units.

Explanation / Answer

a] emf = iR + Q/C

= 3*14+40E-6/6E-6

= 48.67 V

b] Q = Qo [1-e^-t/T]

6.67/48.67 = 1-e^-t/T

ln 0.8629 = -t/84e-6

t = -84e-6 * ln 0.8629

= 0.0000124 s

c] rate of energy stored by capacitor = 48.67*3 - 14*3*3

= 20 W

d] rate of energy supplied = 146 W