if the radius of the wire is decreased by twice then the resistance of the wire will be__________of the initial if the length remains same
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When the wire is stretched to double the length , the area of cross section gets reduced to half. So when the wire is stretched, the resistance multiplies by four times.
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The cross-sectional area of the wires will affect the amount of resistance. Wider wires have a greater cross-sectional area. Water will flow through a wider pipe at a higher rate than it will flow through a narrow pipe. This can be attributed to the lower amount of resistance that is present in the wider pipe. In the same manner, the wider the wire, the less resistance that there will be to the flow of electric charge. When all other variables are the same, charge will flow at higher rates through wider wires with greater cross-sectional areas than through thinner wires.The area of cross-section is given as πr².When the radius of the wire is doubled it means the area of cross-section is increased by four times.
Hence, the resistance of a wire is reduced to one-fourth if its radius is doubled.
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