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In the circuit shown a resistor of 200 kila ohms is in series with a capacitor o

ID: 2179843 • Letter: I

Question

In the circuit shown a resistor of 200 kila ohms is in series with a capacitor of 500 micro Farad and a 9.0 V battery. The switch S is closed at time t = 0. i) What is the charge on the capacitor and the current in the circuit at time t = 0 (just after the switch has been closed)? ii) After a long time has passed (several hours), what is the current in the circuit and what is the charge on the capacitor? iii) At the time t = 100 s what is the electric potential difference across the capacitor Vc? iv) At the time t = 100 s what is the electric potential difference across the resistor VR?

Explanation / Answer

a) initally the charge = 0and the current = V/R = 45micro amps. b)after a long time charge = c*V = 4500 microcolumb and the current = 0; c)V = v*(1-exp(-t/rc) )= 5.68V. d) the remaining voltage = 3.31V

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