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A capacitor with capacitance C = 7.00×10-3 F is initially uncharged. It is in se

ID: 1590844 • Letter: A

Question

A capacitor with capacitance C = 7.00×10-3 F is initially uncharged. It is in series with a source of Emf of 6.00 volts, a resistor R, and a switch as shown in the figure below. At t=0, the switch is closed. The graph below shows the potential difference across the capacitor as function of t, the time elapsed since the switch closed.

Calculate the value of R. Note that the curve passes through a grid intersection point. (in ohm)

A: 6.01×102 B: 6.13×102 C: 6.25×102 D: 6.37×102 E: 6.50×102 F: 6.63×102 G: 6.76×102 H: 6.90×102

Explanation / Answer

we know that

V = V0 (1-e^-t/RC)

V = 4 at t= 5sec

V0 = 6

substituting we get

R = 6.50×102

answer E: 6.50×102

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