Question

The correct relation between heat produced, $H$ and electric current, $I$ flowing is

• A. H directly proportional to I
• B. H directly proportional to (1/I)
• C. H directly proportional to I²
• D. H directly proportional to (1/I²).

Answer 1

The correct option is C

H directly proportional to I²

We know that, Heat $=\text{Power}\times \text{Time}$

And Power $=VI=I^{2}R$ [Ohm's Law, $V=IR$]

$\Rightarrow$ Heat $=VIT=I^{2}RT$

Hence, we can conclude that the heat produced is directly proportional to the square of electric current flowing.