A point charge lies at a distance 'a' from center of a circular disc of radius R and on its axis such that R= a $\sqrt3$ . If electric flux passing through the circle is $\phi$ then the magnitude of the point charge is :-
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Question

A point charge lies at a distance 'a' from center of a circular disc of radius R and on its axis such that R= a $\sqrt3$ . If electric flux passing through the circle is $\phi$ then the magnitude of the point charge is :-

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G1 Physics · Accepted Answer

Step 1: Flux through a circular disk from an axial point charge is Φ=[q/(2ε₀)](1-a/√(a²+R²)). Step 2: With a=3R, the bracket is 1-3/√10. Step 3: Solve q=2ε₀φ/[1-3/√10] and rationalize if desired. Final: D.

A point charge lies at a distance 'a' from center of a circular disc of radius R and on its axis such that R= a 3 \sqrt3 3 ​ . If electric flux passing through the circle is ϕ \phi ϕ then the magnitude of the point charge is :-

A point charge lies at a distance 'a' from center of a circular disc of radius R and on its axis such that R= a 3 \sqrt3 3 . If electric flux passing through the circle is ϕ \phi ϕ then the magnitude of the point charge is :-