Question

Heating effect of electric current , write about it with derivation .

Answer 1

$\large{\underline{\underline{ \bf{⎆Question:-}}}}$

• Heating effect of electric current , write about it with derivation .

$\large{\underline{\underline{ \bf{☂Answer:-}}}}$

• When a current starts to flow through a conductor , heat energy is produced , in which heat is directly proportional to the square of current ; directly proportional to resistance ; and directly proportional to the time .

$\small\underline{{{\bold{\bold{Let-}}}}}$

• Heat ⇝ H
• Current ⇝ ｪ
• Time ⇝ T
• Resistance ⇝ R

$\small\underline{{{\bold{\bold{Since-}}}}}$

• Heat ∝ ｪ²
• Heat ∝ T
• Heat ∝ R

$\small\underline{{{\bold{\bold{Therefore-}}}}}$

• Heat ∝ ｪ²RT
• Heat = k (ｪ²RT)
• Heat = ｪ²RT ( When k = 1 )

Hence , heating effect of electric current produced in a conductor through resistance 'R' , having current 'ｪ' in per unit time 'T' is given by :

$\huge\underline{ \boxed{ \sf{✦H \: = \: ｪ²RT }}}$