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An infinitely long thin non-conducting wire is parallel to the -axis and carries a uniform line charge density . It pierces a thin non-conducting spherical shell of radius in such a way that the subtends an angle at the centre of the spherical shell, as shown in the figure. The permittivity of free space is . Which of the following statements is (are) true?
Electric Field Due to an Infinite Line Charge

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A
The electric flux through the shell is

B
The -component of the electric field is zero at all the points on the surface of the shell

C
The electric flux through the shell is

D
The electric field is normal to the surface of the shell at all points

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Also, electric field is perpendicular to wire, so Z-component will be zero.
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Question Text
An infinitely long thin non-conducting wire is parallel to the -axis and carries a uniform line charge density . It pierces a thin non-conducting spherical shell of radius in such a way that the subtends an angle at the centre of the spherical shell, as shown in the figure. The permittivity of free space is . Which of the following statements is (are) true?
Updated OnMay 21, 2023
TopicElectric Charges and Fields
SubjectPhysics
ClassClass 12
Answer TypeText solution:1 Video solution: 1
Upvotes239
Avg. Video Duration10 min