Question

Mathematical expression for joule's law of heating effect of current

Answer 1

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Answer 2

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

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

❶ In electrical heaters.

❷ In electrical iron

❸ In electrical fuse wire

❹ In electrical bulb

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