#### Question

How does the resistance of a wire vary with its:

diameter?

#### Solution

We know that the area of cross-section, *A* = πr^{2} = π (*d* / 2)^{2}, where *r* is the radius and *d* is the diameter of the wire. So on increasing the diameter of the wire, its resistance decreases.

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Solution How Does the Resistance of a Wire Vary with Its: Diameter? Concept: Heating Effect of Electric Current.