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nstan Part A You connect a battery, resistor, and capacitor as in (Figure 1), wh

ID: 1583893 • Letter: N

Question

nstan Part A You connect a battery, resistor, and capacitor as in (Figure 1), where & = 5.00 F . and R = 140 . The switch S is closed at t = 0 56.0 V,C When the voltage across the capacitor is 8.00 V, what is the magnitude of the current in the circuit? Express your answer with the appropriate units. 1-1 Value Units Submit 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 tAnswer Part C Figure 1 of 1 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 Units Submit An i=0 q=0 Provide Feedback

Explanation / Answer

(a) e - iR - Vc = 0

56 - 140i - 8 = 0

i = 0.343 A

(B) Vc = 56 [ 1- e^(-t/RC)] = 8


- t / RC = ln(1 - (8/56)) = - 0.154

t = 0.154 x 140 x 5 x 10^-6

t = 1.10 x 10^-4 s


(C) energy supplied by battery = e i

= 56x 0.343

= 19.2 W

energy dissipated by resistor = i^2 R

= 16.5 W


energy being stored = 19.2 - 16.5

= 2.73 W