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For a charged cylindrical conductor of ...

For a charged cylindrical conductor of cross - sectional radius R, what is the relation between the surface charge density and linear charge density?

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To find the relation between the surface charge density (σ) and the linear charge density (λ) for a charged cylindrical conductor of cross-sectional radius R, we can follow these steps: ### Step-by-Step Solution: 1. **Understand the Definitions**: - **Surface Charge Density (σ)** is defined as the charge per unit area on the surface of the conductor. It is given by the formula: \[ \sigma = \frac{Q}{A} ...
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Knowledge Check

  • The surface charge density of an irregularr shaped conductor is

    A
    zero
    B
    infinity
    C
    constant
    D
    different at different points

  • In the above question, the surface charge densities have the correct relation is-

    A
    `sigma_(A) gt sigma_(B) gt sigma_(C) gt sigma_(D)`
    B
    `sigma_(A)=sigma_(B)=sigma_(C)=sigma_(D)`
    C
    `sigma_(D) gt sigma_(C) gt sigma_(B) gt sigma_(A)`
    D
    `sigma_(C) lt sigma_(B) gt sigma_(A) gt sigma_(D)`

  • The S.I. unit of surface charge density is ________ .

    A
    C ` cm^(-2)`
    B
    A `m^(-2)`
    C
    A `cm^(-2)`
    D
    C `m^(-2)`

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