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The magnitude of electric field E in the...

The magnitude of electric field E in the annual region of a charged cylindrical capcitor

A

is same near the outer cylinder then near the inner cylinder

B

is higher near the outer cylinder than near the inner cylinder

C

varies as `1//r` where r is the distance from the axis

D

varies as `1//r^(2)` where r is the distance from the axis

Text Solution

Verified by Experts

The correct Answer is:
C
The magnitude of electric field at a distance r from the axis is given as
`E=(lambda)/(2piepsilon_0r)ie.Eprop1/x`
Here `lambda` is the charge per unit length of the capacitor
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Knowledge Check

  • The magnitude of electric field vecE in the annular region of a charged cylindrical capacitor.

    A
    is the same throughout
    B
    is higher near the outer cylinder than near the inner cylinder
    C
    varies as `(1)/(r^(2))` where r is the distance from the axis
    D
    varies as `(1)/(r^(3))` where r is the distance from the axis.

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