Question

Two wires A and B of the same material and having same length, have their cross sectional areas in the ratio 1 6. What would be the ratio of heat produced in these wires when same voltage is applied across each ?

Answer 1

Dear Student ,
Here in this case two wires A and B are of same material and same length , have their cross sectional areas in their ratio 1: 6 .
Same voltage is applied across each and for same time .
$$\begin{gathered} \frac{H_1}{H_2}=\frac{A_2}{A_1}=\frac{1}{{\displaystyle \raisebox{1ex}{$1$}\!\left/ \!\raisebox{-1ex}{$6$}\right.}}=\frac{6}{1} \\ \Rightarrow H_1:H_2=6:1 \end{gathered}$$
Regards