Consider a series RC circuit as in the figure below for which R-2.00 MQ, C-3.00

Question

Consider a series RC circuit as in the figure below for which R-2.00 MQ, C-3.00 and -26.0 V. (a) Find the time constant of the circuit (b) What is the maximum charge on the capacitor after the switch is thrown closed? 52 What is the current in the circuit when the capacitor has reached its maximum charge? HC (c) Find the current in the resistor 10.0 s after the switch is closed 1.64 What mathematical function describes the time dependence of the current in an RC circuit Need Help? Read ItWatch It

Explanation / Answer

a) Time constant, T = R*C

= 2*10^6*3*10^-6

= 6.00 s <<<<<------Answer

b) Qmax = C*Vmax

= 3*26

= 78.0 micro C <<<<<------Answer

c) Imax = Vmax/R

= 26/(2*10^6)

= 13 micro A

at time t = 10s,

I = Imax*e^(-t/T)

= 13*e^(-10/6)

= 2.46 micro A <<<<<------Answer

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