Question

Two $2\Omega$ resistances are connected in parallel in circuit X and in series in circuit Y. The batteries in the two circuits are identical and have zero internal resistance. Assume that the energy transferred to resistor A in circuit X within a certain time is W. The energy transferred to resistor B in circuit Y in the same time will be:

• A. $\frac{1}{4}$W
• B. $\frac{1}{2}$W
• C. $2$W
• D. $4$W

Answer 1

The correct option is A $\frac{1}{4}$W

$P=\frac{V^2}{R}=\frac{V^2}{2}=WP=\frac{V^2}{R}=\frac{{\left(\frac{V}{2}\right)}^2}{2}P=\frac{V^2}{8}=\frac{W}{4}$

In same time energy dessipates $=\frac{W}{4}$