Question

joules heating equation

Answer 1

H is directly proportional to I^2

H is directly proportional to R

H is directly proportional to T

Here, I = current, R = resistance, T = time

So, H = I^2RT

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Answer 2

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   According to the Ohm’s law current flowing through a conductor is directly ∝ to the potential difference applied between the ends of the conductor.

   This means if the potential difference applied at the ends increases then the current flowing through the conductor also increases and vice-versa.

   Mathematically

Current flowing through the conductor I ∝ V where V is the potential difference applied at the ends of the conductor.

Or I=(constant) V where constant = 1/R where R =resistance of the conductor

       => I=(1/R)V

       =>V=IR

JOULE'S HEATING EFFECT

According to Joules law of heating, when a current I flows through a resistance R then :

Heat produced is

(I) Directly proportional to the square of current for a given resistance

(II) Directly proportional to the resistance of given circuit.

(III) Directly proportional to the time for which the resistance flows through the resistor.

So eqⁿ is $\bold{\huge{\boxed{\red{H=I^2Rt}}}}}$

$\bold{\huge{\boxed{\pink{DERIVATION}}}}$

let us consider a resistance R , in which I amount of current flows.

Work must be done by current to move continuously.

W=Qx V

BUT Q=IXt

W=IxVxt

but from ohms law: V=IR

$\bold{\huge{\boxed{\purple{W=I^2Rt}}}}$

assuming the electrical energy consumed is converted into heat energy .

we write work done as Heat  produced.

so $\bold{\huge{\boxed{\red{H=I^2Rt}}}}}$

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