# Thin wire has high resistance and thick wire has low resistance

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A thicker wire always has lesser resistance as electrons are able to flow more easily, rather than when they have to squeeze through a narrow cross-section, which offers a lot of obstruction to their movement.

And, as the wires are in series, both resistors receive the same current. Thus, power is proportional only to resistance and the power dissipated in the thinner wire is MORE.

Perhaps your answer key is wrong. Are you sure they're in series?

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### Shobhit Swami

Updated on April 23, 2020

• Shobhit Swami over 3 years

Two heaters of same length and material but of different thickness are connected in series across a power supply. The power dissipated:

(a) will be same in both.

(b) will be more in thinner wire

(c) will be more in thicker wire

(d) cannot be predicted

My answer is (b) as thinner wire has high resistance and power is directly proportional to current squared and resistance. The answer key states the correct answer to be option (c). Why is it so?

• Yashas over 6 years
Homework-like and check-my-work like questions should ask about a specific physics concept and show some effort to work through the problem. We want our questions to be useful to the broader community, and to future users. See How do I ask homework questions? and Are check-my-work questions on-topic? for more information.
• Shobhit Swami over 6 years