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  • Two coils require 20 minutes and 60 minutes respectively to produce same amount of heat energy when connected separately to the same source. If they are connected in parallel arrangement to the sam

Two coils require 20 minutes and 60 minutes respectively to produce same amount of heat energy when connected separately to the same source. If they are connected in parallel arrangement to the same source; the time required to produce same amount of heat by the combination of coils, will be____________min .

Option: 1

15


Option: 2

20


Option: 3

25


Option: 4

30


Answers (1)

best_answer

\begin{aligned} &\mathrm{H=\frac{V^{2}}{R} \times t} \\ \\&\mathrm{H=\frac{V^{2}}{R_{1}} \times 20=\frac{V^{2}}{R_{2}} \times 60} \end{aligned}

If connected in parallel.

\mathrm{\operatorname{Req}=\frac{R_{1} R_{2}}{R_{1}+R_{2}}}

\mathrm{H=\frac{v^{2}}{\left(\frac{R_{1} R_{2}}{R_{1}+R_{2}}\right)} \times \Delta t=\frac{4}{3} \frac{v^{2}}{R_{1}} \times \Delta t}

\left [ \mathrm{R_{2}=3R_{1}} \right ]

\Rightarrow \mathrm{\Delta t=15}

Hence, the correct answer is 15.

Posted by

manish painkra

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