Question

Question 14 (ii)
Compare the power used in the $2\Omega$ resistor in each of the following circuits:
(ii) a 4 V battery in parallel with $12\Omega$ and $2\Omega$ resistors.

Answer 1

(ii) Potential difference, V = 4 V
$12\Omega$ and $2\Omega$ resistors are connected in parallel.
The voltage across each component of a parallel circuit remains the same.
Hence, the voltage across $2\Omega$ resistor will be 4 V.
Power consumed by $2\Omega$ resistor is given by,
$P=\frac{V^2}{R}=\frac{4^2}{2}=8W$
Therefore, the power used by $2\Omega$ resistor is 8 W.