Physics

Problem

12\,\text{V}

battery is connected to three resistors as follows:

R_1 = 6\,\Omega

is in series with a parallel combination of

R_2 = 3\,\Omega

and

R_3 = 2\,\Omega

. Let

I_{R_1}, I_{R_2}

and

I_{R_3}

denote the currents through

R_1, R_2

and

R_3

respectively. Which of the following correctly ranks these currents in decreasing order? a)

I_{R_3} > I_{R_2} > I_{R_1}

I_{R_1} > I_{R_2} = I_{R_3}

I_{R_1} > I_{R_3} > I_{R_2}

I_{R_3} > I_{R_1} > I_{R_2}