Question

Two resistor $R$ and $2R$ are connected in parallel in an electric circuit. The thermal energy developed in $R$ and $2R$ are in the ratio of

• A. $1:2$
• B. $2:1$
• C. $1:4$
• D. $4:1$

Answer 1

Answer: (B)

$2:1$

$P=I^{2}R=\frac{V^2}{R}$.

in parallel combination we know that voltage across each element is same, so for above relation voltage is same for both hence power will directly depend upon resistance value $\therefore \frac{P_1}{P_2}=\frac{2}{1}$so correct option is option B.