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Question: Two wires with resistances R and 2R are connected in parallel, the ratio of heat generated in 2R and...

Two wires with resistances R and 2R are connected in parallel, the ratio of heat generated in 2R and R is

A

1 : 2

B

2 : 1

C

1 : 4

D

4 : 1

Answer

1 : 2

Explanation

Solution

H=V2R.tH = \frac{V^{2}}{R}.t ⇒ H1H2=R2R1=R2R=12\frac{H_{1}}{H_{2}} = \frac{R_{2}}{R_{1}} = \frac{R}{2R} = \frac{1}{2}