A battery of emf is connected to resistor in series with a branch that contains…

PHYSICS · Single correct · A Level · Physics · Fields and their consequences · Fields and their consequences

Problem

A battery of emf

V_0

is connected to resistor

R_1

in series with a branch that contains resistor

R_2

in parallel with an initially uncharged capacitor

C

. Let

I_0

be the current delivered by the battery at the instant the switch is closed, and let

I_{\infty}

be the current after the circuit has reached steady state. If

R_1 = 2\,\text{k}\Omega

and

R_2 = 4\,\text{k}\Omega

, what is the ratio

\dfrac{I_0}{I_{\infty}}

? (a) 2 (b) 3 (c) 4.5 (d) 1.5