Is it true that current will flow more easily through a thin wire than a thick wire of the same material when connected to the same source?

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True

False

answer is B.

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Detailed Solution

The above statement is False.
We know that the resistance of a wire is formulated as,

R = ρ \frac{l}{A}

where,

l

is the length of the wire, A is the area of cross-section of the wire and ρ is resistivity.
We can see by the formula that resistivity is inversely proportional to the cross-sectional area of the conductor. So, when a thick wire is used, the area of the cross-section is more, and the resistance is small, and when a thin wire is used, the area of the cross-section is less, and the resistance is more. Current can flow easily through a wire in which resistance is low. So, for thick wire, resistance is low and current will flow through thick wire more easily than a thin wire.
The correct statement would be current will flow more easily through a thick wire than a thin wire of the same material when connected to the same source.

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