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Question: You are given a resistance wire of length 50 cm and a battery of negligible resistance. In which of ...

You are given a resistance wire of length 50 cm and a battery of negligible resistance. In which of the following cases is largest amount of heat generated

A

When the wire is connected to the battery directly

B

When the wire is divided into two parts and both the parts connected to the battery in parallel

C

When the wire is divided into four parts and all the four connected to the battery in parallel

D

When only half the wire is connected to the battery

Answer

When the wire is divided into four parts and all the four connected to the battery in parallel

Explanation

Solution

In this case, P=V2RP = \frac{V^{2}}{R}or P1RP \propto \frac{1}{R}andRRwill be minimum, when divided four parts are joints in parallel to the battery.