Lab-08 PHY161 Lab Quiz 1. A capacitor with capacitance 0.1F in an RC circuit is

Question

Lab-08 PHY161 Lab Quiz 1. A capacitor with capacitance 0.1F in an RC circuit is initially charged up to an initial voltage of Vo-10 then discharged through an R-100 resistor as shown. The switch is closed at time t-01 is closed, the initial current is lo-Vo R-10V/102. What is the current I through the resistor at time RC Circuit PhysicsI V and is mmediately after the switch R-109 C-0.1F 2. An RC circuit is shown below. Initially the switch is open and the capacitor has no charge. At time t-0, the switch is closed. What is the voltage across the capacitor immediately after the switch is closed (time- 0)? C-00010F

Explanation / Answer

1. given

Capacitance, C = 0.1 F

Vo = 10 V

RC circuit

discharge resistance R = 10 ohms

swithc is closed at t = 0s

initial discharge current Io = Vo/R = 10 V / 10 ohms = 1 A

now,

in RC circuit

charge on capacitor

q = Qo*e^(-t/RC)

i = -dq/dt = (Qo/RC)*e^(-t/RC)

now,

Qo = CVo

hence

i = (Vo/R)e^(-t/RC)

i = (10/10)e^(-2/10*0.1)

i = 0.13533528323661 A at t = 2 s

2. in the given RC circuit, switch is closed at t =0 s

so the capacitor acts as short circuit elemetn

hence voltage across capacitor immidiately after the switch is closed is 0 V

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