Question

When the current in a conductor is doubled keeping other parameters constant, the heating effect of the current will become:

• A. is doubled
• B. becomes 4 times
• C. becomes 3 times
• D. is unaffected

Answer 1

The correct option is B

becomes 4 times

We know, Heat produced $H$ = Work done $W$

Work done $W$ = $VQ$ = $VIt$

Heat produced $H$ = $VIt$

Potential difference $V$ = $IR$

Heat produced $H$ = $I^{2}Rt$

as, H = $I^2$Rt .
$H_1$ = $I^2$Rt ,
$H_2$ = ${\left(2I\right)}^2$Rt
$H_2$ = 4${\left(I\right)}^2$Rt
= 4$H_1$

If the current is doubled, the heating effect of a current through a conductor becomes 4 times the original.