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Question

An $$8 \Omega$$ resistance wire is doubled up by folding. What is the new resistance of the wire?


A
0.5Ω
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B
1.5Ω
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C
2Ω
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D
4Ω
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Solution

The correct option is C $$2\Omega$$
Resistance of the conductor depends on the following factors: 
1. Length of the conductor
2. Area of the cross-section of the conductor
3. Material used as a conductor.

Resistance is directly proportional to the length of the wire, and inversely proportional to the cross sectional area of the wire.
$$R=\rho \dfrac { L }{ A } $$ where R is resistance, $$\rho$$ is the material's resistance in ohms, $$ l$$ is the length, and $$A$$ is the cross sectional area in $${m}^2$$.

Physics

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