Physics Electrostatics Potential & Capacitance JEE (Main) / AIEEE Problems Previous Years - ( Capacitance ) MCQ (Single Correct)

An infinitely long thin non-conducting wire is parallel to the z-axis and carries a uniform line charge density λ. It pierces a thin non-conducting spherical shell of radius R in such a way that the arc PQ subtends an angle 120° at the center O of the spherical shell, as shown in the figure. The permittivity of free space is ε 0 . Which of the following statements is (are) true?

A
The electric flux through the shell is
B
The z-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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The correct answer is:
CHECK THE SOLUTION.

(a, b)

Sol. Q enc = λ R

φ φ =

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