1) Calculate the value of R. Note that the curve passes through a grid intersect

Question

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

2) What can you tell about the maximum power dissipated in R?
The maximum power dissipated in R occurs at which of the following

A: t=0

B: t=RC

C: t=infinity

A capacitor with capacitance C 7.00x10 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 1 3 5 6 7 8 9 Photos Time t (in seconds)

Explanation / Answer

v = Vmax*(1-e^(-t/T))

4 = 6*(1-e^(-4/T))

T = 3.64

but time constant is T = R*C = 3.64

R*C = 3.64

R = 3.64/C = 3.64/(7*10^-3) = 520 ohm

2) at t = 0 sec

Imax = V/R = 6/520 = 0.0115 A

maximum power dissipated is P = Imax^2*R = 0.0115^2*520 = 0.06877 W

B) at t = RC = 3.64 sec

then i = Imax*(1-e^(-t/T))

i = 0.0115*(1-e^(-1))

i = 0.00726 A

P = i^2*R = 0.00726^2*520 = 0.0274 W

C) at t = infinity

i = 0

P = i^2*R = 0 W

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