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A long charged cylinder of linear char...

A long charged cylinder of linear charge density `lambda` is surrounded by a hollow co-axial conducting cyclinder. What is the electric field in the space between the two cylinders ?

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To find the electric field in the space between a long charged cylinder and a hollow coaxial conducting cylinder, we can follow these steps: ### Step 1: Understand the Setup We have a long charged cylinder with a linear charge density \( \lambda \) and a hollow conducting cylinder surrounding it. The charge on the inner cylinder creates an electric field in the space between the two cylinders. **Hint:** Visualize the arrangement and identify the charge distribution. ### Step 2: Identify the Charge on the Inner Cylinder ...
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A long charged cylinder of linear charge density lambda surrounded by a hollow co-axial conducting cylinder. What is the electric field in the space between the two cylinders?

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Knowledge Check

  • Two parallel infinite line charges with linear charge densities +lambda C//m and -lambda C/m are placed at a distance of 2R in free space. What is the electric field mid-way between the two line charges?

    A
    `(lambda)/(2pi epsilon_(0) R)N//C`
    B
    zero
    C
    `(2lambda)/(pi epsilon_(0)R)N//C`
    D
    `(lambda)/(pi epsilon_(0)R)N//C`

  • A very long uniformly charged cylinder (radius R) has a surface charge density sigma . A very long uniformaly charged line charge( linear charge density lambda ) is placed along the ctlinder axis. If electric field intensity vector outside the cylinder is zerom then :

    A
    `lambda=Rsigma`
    B
    `lambda=-Rsigma`
    C
    `lambda=2piRsigma`
    D
    `lambda=-2piRsigma`

  • An infinite line charge of uniform electric charge density lambda lies along the axis of an electrically conducting infinite cylindrical shell of radius R. At time t=0 , the space inside the cylinder is filled with a material of permittivity epsilon and electrical conductivity sigma . The electrical conduction in the material follows Ohm's law. Which one of the following graphs best describes the subsequent variation of the magnitude of current density j(t) at any point in the material ?

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