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A circuit with two batteries is shown below. The directions of the currents have

ID: 1493484 • Letter: A

Question

A circuit with two batteries is shown below. The directions of the currents have been chosen (guessed) as shown. Which is the correct current equation for this circuit? Which equation below is the correct equation for Loop 2? For the circuit shown in the figure, the switch 5 is initially open and the capacitor voltage is 80 V. The switch is then closed at time t = 0. How long after closing the switch will the current in the resistor be 7.0 mu A? For the circuit shown in the figure, what is the current through resistor R_1?

Explanation / Answer

5)
I)
Using Kirchoff Current law, we can clearly see that,
I3 = I1 + I2

II)
For loop 2,
Using Kirchoff Voltage law,
I2*R2 + I3*R3 = V1
- V1 + I2*R2 + I3*R3 = 0

6)
q = C*v
q = 22 * 80 uC
q = 1760 uC

Io = - q/RC
Io = -1760 /(2.8*22)
Io = - 28.57 uA

Current for Discharging circut,
I = Io* e^(-t/RC)
7 = 28.57 * e^(-t/(2.8*22))
t = 86.6 s
Answer , t = 87 s

please post seperate questions in seperate post only !!

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