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Question

Will current flow more easily through a thick wire or a thin wire of the same material, when connected to the same source ? Why ? Name the factors on which the resistance of a wire depends.

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Solution

The current will flow more easily through a thick wire than through a thin wire of the same material when connected to the same source. This is due to the fact that the resistance of a wire is inversly proportional to the square of its diameter. A thick wire has a greater diameter and hence lesser resistance making the current to flow through it more easily. On the other hand, a thin wire has smaller diameter and hence greater resistance to the flow of current through it.

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