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Question: Answered & Verified by Expert
A $5.0$ A current is setup in an external circuit by a $6.0 \mathrm{~V}$ storage battery for $6.0 \mathrm{~min}$. The chemical energy of the battery is reduced by
PhysicsCurrent ElectricityCOMEDKCOMEDK 2017
Options:
  • A $1.08 \times 10^{4} \mathrm{~J}$
  • B $1.08 \times 10^{4} \mathrm{~V}$
  • C $1.8 \times 10^{4} \mathrm{~J}$
  • D $1.8 \times 10^{4} \mathrm{~V}$
Solution:
1819 Upvotes Verified Answer
The correct answer is: $1.08 \times 10^{4} \mathrm{~J}$
Given, $I=5 \mathrm{~A}, V=6 \mathrm{~V}, t=6 \mathrm{~min}=6 \times 60=360 \mathrm{~s}$
Heat produced in a circuit =Chemical energy reduced in the battery
$\Rightarrow$
$\begin{aligned}
H &=V I t \\
&=6 \times 5 \times 360 \\
&=10800=1.08 \times 10^{4} \mathrm{~J}
\end{aligned}$

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