Correct Exercise 26.40 You connect a battery, resistor, and capacitor as in (Fig

Question

Correct Exercise 26.40 You connect a battery, resistor, and capacitor as in (Figure 1) , where E-26.0 . C-5.00 , and R-130 . The switch S is closed at t = 0 Part B At what time t after the switch is closed is the voltage across the capacitor 8.00 V? Express your answer with the appropriate units. Value Units Submit My Answers Give Up Figure 1 #1 of 1 Part C When the voltage across the capacitor is 8.00 V, at what rate is energy being stored in the capacitor? Express your answer with the appropriate units. Switch open P- Value W i=0 q= Submit My Answers Give Up Incorrect; Try Again; 3 attempts remaining

Explanation / Answer

According to the given problem,

Part A
When the voltage across the capacitor is 8.00 V, what is the magnitude of the current in the circuit?

I= (26-8)/130 = 0.14A

Part B
At what time t after the switch is closed is the voltage across the capacitor 8.00 V?

RC = 0.00065
Vc(t) = 26[1-e-t/[0.00065]] = 8
t = 239.02 µs

Part C
When the voltage across the capacitor is 8.00 V, at what rate is energy being stored in the capacitor?
P= I*Vc = (26-8)/130 * 8 = 1.1077W

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