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An electric heater of resistance $8\ \Omega$ draws $15\ A$ from the service mains $2\ hours$.Calculate the rate at which heat is developed in the heater.
Given:
An electric heater of resistance $8\ \Omega$ draws $15\ A$ from the service mains $2\ hours$.
To do:
To calculate the rate of heat developed in the heater.
Solution: The rate of the heat developed by the heater is the power of the heater.
The formula used to calculate power:
The power of the heater, $\boxed{P=I^2R}$
Here, $P\rightarrow$ Power
$I\rightarrow$ Current
$R\rightarrow$ resistance
As it is given that, the resistance $R=8\ Ω$
Current $I=15\ A$
Time $T=2\ hr$
On submitting above given values in the formula,
$P=15^2\times 8$
$=15\times15\times8$
$=1800\ Watt$
Thus, the rate of the heat developed by the heater is $1800\ Watt$.
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