Question

To produce 10 to the power 3 joule of heat in 10 seconds, how much voltage should be applied to 100ohm resistance.

Answer 1

Given:

R=50 ohms , H=1000J, time=10 sec onds

Formula : H=V²t/R

1000=V²x10/50

50000/10=V²

5000=V²

V=70.7 Volts

∴ Voltage supplied must be 70.7volts.

Answer 2

The applied voltage is 100 volts.

Explanation:

Given that,

Heat produced, $H=10^3\ J$

Time, t = 10 s

Resistance, R = 100 ohms

We need to find the voltage that should be applied. The heat produced in a resistor is given by :

$H=I^2Rt$

Since, $I=\dfrac{V}{R}$

$H=\dfrac{V^2t}{R}$

$V=\sqrt{\dfrac{HR}{t}}$

$V=\sqrt{\dfrac{10^3\times 100}{10}}$

V = 100 volts

So, the applied voltage is 100 volts. Hence, this is the required solution.

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