An electric heater of resistance 230ohm is connected to 230v supply. Calculate the heat energy produced by it in 2 seconds?
Answers
Explanation:
230 joules
Given :
Resistance of the electric heater = 230 ohms = R
Voltage or the potential difference = 230 volts = V
Time = 1 second = t
To find :
Heat energy produced by the heater in 1 second
Heat energy = V×I×t
Using ohms law :
V=I×R
230=I×230
i = \frac{230}{230}i=
230
230
I = 1 ampere
The current passing through the heater is 1 ampere
Now using the formula :
Heat = 230×1×1
Heat = 230 Joules
The heat energy produced is equal to 230 joules
Note: this can also be found with the formula I²RT
GIVEN
Resistance of an electric heater, R = 230 Ω
Potential difference = 230 V
Time, t = 1 s
TO FIND
The heat energy produced in the electric heater in 1 sec.
SOLUTION
We know,
V = IR
V = 230 V
R = 230 Ω
⇒230 = 230 × I
⇒I = 230/230
⇒I = 1 A
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Now,
Heat energy(H.E.) = I²Rt
I = 1 A
R = 230 Ω
t = 1 s
⇒H.E. = (1)² × 230 × 1
⇒H.E. = 1 × 230 × 1
⇒H.E. = 230 Joules
Therefore, the heat energy produced in the electric heater in 1 second is 230 J.