From the circuit, find A. potential difference across R1 and R2 immediately afte

Question

From the circuit, find A. potential difference across R1 and R2 immediately after the switch is closed. B. potential difference across R1 and R2 long after the switch is closed (t=inf). C. Potential difference across r1 and r2 immediately after the switch is opened after being closed for t=inf.

Consider the circuit at right with an initially uncharged capacitor. Ri Mathematical Analysis a. What is the potential difference across Ri and the potential diference across R, immediately after the switch is first closed?

Explanation / Answer

a)
If switch is just closed, Voltage across C will be 0
Vc = V[1-e^(-t/RC)]
At t= 0 s, Vc =0 V

So,
it is like both R1 and R2 are connected in parallel.
So potential across R2 = V
So potential across R1 = V

b)
Vc = V[1-e^(-t/RC)]
as T tends to infinity , Vc= V
voltage across capacitor = V
It doesnot allow the current to flow through it
So,
VOltage across R1 = 0
since C and R2 are connected in parallel,
VOltage across R2 = 0

c)
When switched is openend Voltage across C = V
Current will nt start flowing immediately
So, I = 0
VOltage across R1 =R2 = 0 V

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