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Electrostatics

Section: Physics

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Question : 2

Total: 59

Two co-axial conducting cylinders of same length ℓ with radii √2R and 2R are kept, as shown in Fig. 1 . The charge on the inner cylinder is Q and the outer cylinder is grounded. The annular region between the cylinders is filled with a material of dielectric constant κ=5. Consider an imaginary plane of the same length ℓ at a distance R from the common axis of the cylinders. This plane is parallel to the axis of the cylinders. The cross-sectional view of this arrangement is shown in Fig. 2. Ignoring edge effects, the flux of the electric field through the plane is ( ε0 is the permittivity of free space):

[JEE Adv 2025 P2]

‌
Q
30ε0
‌
Q
15ε0
‌
Q
60ε0
‌
Q
120ε0

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