Time constant for parallel RC circuit

[Shivang kohlii]

Homework Statement

Question 6.

Homework Equations

Time constant = RC

The Attempt at a Solution

I think answer should be 1/2 RC as Rnet = 1/2R and to convert it to single resistance form we should first find Rnet
But the answer is coming out to be RC . How?

<< Corrected Image added by Mentors >>

 

[berkeman]

But the answer is coming out to be RC . How?

What is the total resistance in series with the Capacitor? That is the resistance that shows up in the time constant (assuming the voltage source is ideal)...

Are you familiar with Differential Equations? That would be one way to show how this works in this circuit...

 

[berkeman]

Bonus Question -- What if the voltage source is not ideal? How would that change things?