Question

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

• 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 wire will liberate more energy
• C. Both will liberate equally
• D. In series the thick wire will liberate more while in parallel it will liberate less energy

Answer 1

Answer: (A)

In series fine wire liberates more energy while in parallel thick wire will liberate more energy

Answer 2

In series, $P \propto R(\because i$is same), i.e. in series Fine wire (high R) liberates more energy. In parallel, $P \propto \frac{1}{R}(V$is same) i.e. thick wire (less R) liberates more energy.