An ideal battery is connected to a resistor in series with a branch that can contain…

PHYSICS · Subjective · A Level · Physics · Electricity · Electricity

Problem

An ideal

24\,\text{V}

battery is connected to a

6\,\Omega

resistor in series with a branch that can contain a

12\,\Omega

resistor in parallel with a

4\,\Omega

resistor. When the switch controlling the

12\,\Omega

resistor is open, only the

4\,\Omega

resistor is present in the branch and the battery current is

I_0

. When the switch is closed, the

12\,\Omega

resistor is placed in parallel with the

4\,\Omega

resistor and the battery current becomes

I_{\text{closed}}

. Calculate the ratio

I_{\text{closed}}/I_0