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Calculate the resistance of a copper wir...

Calculate the resistance of a copper wire of length 1 m and area of cross section `2 mm^2`. Resistivity of copper is `1.7xx10^(-5) Omega m`.

Text Solution

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`R=p l/A=(1.7xx 10^(-8) Omega m)xx(1m)/(2xx(10^(-3) m)^2)=8.5 xx10^3 Omega`.
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(a) Give two examples of substances which are good conductors of electricity. Why do you think they are good conductors of electricity? (b) Calculate the resistance of a copper wire 1.0 km long and 0.50 mm diameter if the resistivity of copper is 1.7 xx 10^(-8) Omega m .

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Knowledge Check

  • Resistance of the conductor of length 5m and area of cross -section 4 mm^(2) s 0.02 Omega . Its resistivity is

    A
    ` 1.6 xx 10^(-6) Omega ` m
    B
    `1.6 xx 10^(-5) Omega m `
    C
    ` 1.6 xx 10^(-8 ) Omega m `
    D
    `1 0^(-8) Omega m`

  • A metallic wire carries a current of 100 A , its area of cross section is 1 cm^(2) . If the resistivity of the copper is 1.7xx10^(-8) Omega m , then the electric field strength in the copper will be

    A
    `1.7xx10^(-2)V//m`
    B
    `2.7xx10^(-2)V//m`
    C
    `1.7xx10^(-3)V//m`
    D
    `2.7xx10^(-3)V//m`

  • The resistance of a wire of length 330m and cross-section area 1.0 mm^(2) made of material of resistivity 1.0 xx 10^(-7) Omegam is:

    A
    `2Omega`
    B
    `3Omega`
    C
    `20Omega`
    D
    `3 Omega`

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    The temperature coefficient of copper is 0.004^(@)C^(-1) . Find the resistance of a 5 m long copper wire of diameter 0.2 mm at 100^(@)C , if the resistivity of copper at 0^(@)C is 1.7xx10^(-8) Omega m.

    Calculate the conductivity of a wire of length 2 m, area of cross-sectionl 2 cm^(2) and resistance 10^(-4) Omega .

    Calculate the resistance and electrical conductivity of a 2m long copper wire of cross sectional area 0.01 mm^2 . Givne resistivity of copper is 1.78xx10^(10) Omega m .

    Calculate the resistance of 1 km long copper wire of radius 1 mm . Resistivity of copper is 1.72 xx 10^-8 Omega m .

    (a) Write down an expression for the resistance of a metallic wire in terms of the resistivity. (b) What will be the resistance of metal wire of length 2 metres and ares of cross-section 1.55 xx 10^(-6)m^(2) , if the resistivity of the metal be 2.8 xx 10^(-8) Omega m ?

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