Question

The resistance of a wire of 0.01 cm radius is 10 ohms. If the resistivity of the material of the wire is 50÷100000000 ohm-metre,Find the length of the wire.​

Answer 1

Answer:

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Answer 2

The length of the wire will be 0.628m. This can be calculated as follows:

• Let the length of wire is "l" and the area is "A".

• As per the question-

radius(r) = 0.01 cm

             = 0.01 x 10⁻²m

Resistivity (ρ) = 50 x 10⁻⁸ ohm m

Resistance (R) = 10 ohm

• Now, R = ρ(l/A)

                    = ρ(l/πr²)

                  l =  (Rπr²)/ρ

                    = (10 x 3.14 x 0.01 x 10⁻² x 0.01 x 10⁻² ) / ( 50 x 10⁻⁸ )

                    = 0.628 m