A resistor is connected in parallel with an unknown resistor

PHYSICS · Single correct · A Level · Physics · Electricity · Electricity

Problem

6\,\Omega

resistor is connected in parallel with an unknown resistor

R

. This parallel combination is then connected in series with a

4\,\Omega

resistor to a

12\,\text{V}

battery. If the circuit draws a total current of

2\,\text{A}

from the battery, what is the value of

R

? (a)

2\,\Omega

(b)

6\,\Omega

(c)

3\,\Omega

(d)

15\,\Omega