Two heating coils, one of fine wire and the other of thick wire of the same material and of the same length are connected in series and in parallel. Which of the following statement is correct ?

Options

A. In series fine wire liberates more energy while in parallel thick wire will liberate more energy
B. In series fine wire liberates less energy while in parallel thick liberate more energy
C. In series thich wire liberates more energy while in parallel it liberates less energy
D. Both wires liberates equal energies in series and in parallel

Answer

A

Explanation

(a) `R_(1) = (rho l)/(A_(1)), R_(2) = (rho l)/(A_(2))` As `A_(1) lt A_(2)` so `R_(1) gt R_(2)`
In series `H = I^(2) RT H prop R, H_(1) gt H_(2)`
In parallel `H = (V^(2))/(R ) t H prop (1)/(R ) , H_(1) lt H_(2)`