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Figure shows four Gaussian surfaces consisting of identical cylindrical midsections but different end caps. The surfaces are in a uniform electric field that is, directed parallel to the central axis of each cylindrical midsection. The end caps have these shapes: S1, convex hemispheres; S2, concave hemispheres: S3, cones: S4, flat disks. 

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Important Questions on Electric Flux and Gauss's Law

MEDIUM
JEE Main
IMPORTANT

In the figure, a solid sphere of the radius a=2.00 cm is concentric with a spherical conducting shell of inner radius b=2.00a and outer radius c=2.40a. The sphere has a net uniform charge q1=+5.00 C, the shell has a net charge q2=-q1. What is the magnitude of the electric field at radial distances  r=0 from the centre?

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MEDIUM
JEE Main
IMPORTANT

In the figure, a solid sphere of the radius a=2.00 cm is concentric with a spherical conducting shell of inner radius b=2.00a and outer radius c=2.40a. The sphere has a net uniform charge q1=+5.00 C, the shell has a net charge q2=-q1. What is the magnitude of the electric field at a radial distance r=a2.00?

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MEDIUM
JEE Main
IMPORTANT

In the figure, a solid sphere of the radius a=2.00 cm is concentric with a spherical conducting shell of inner radius b=2.00a and outer radius c=2.40a. The sphere has a net uniform charge q1=+5.00 C, the shell has a net charge q2=-q1. What is the magnitude of the electric field at the radial distance r=a?

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MEDIUM
JEE Main
IMPORTANT

In the figure, a solid sphere of radius a=2.00 cm is concentric with a spherical conducting shell of inner radius b=2.00 a and the outer radius c=2.40 a. The sphere has a net uniform charge q1=+5.00 C, the shell has a net charge q2=-q1. What is the magnitude of the electric field at radial distances r=1.50 a?

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EASY
JEE Main
IMPORTANT

In the figure, a solid sphere of the radius a=2.00 cm is concentric with a spherical conducting shell of inner radius b=2.00a and outer radius c=2.40a. The sphere has a net uniform charge q1=+5.00 C, the shell has a net charge q2=-q1. What is the magnitude of the electric field at radial distances r=2.30 a?

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EASY
JEE Main
IMPORTANT

In the figure, a solid sphere of the radius a=2.00 cm is concentric with a spherical conducting shell of the inner radius b=2.00a and the outer radius c=2.40a. The sphere has a net uniform charge q1=+5.00 C, the shell has a net charge q2=-q1. What is the magnitude of the electric field at a radial distance r=3.50a?

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EASY
JEE Main
IMPORTANT

In the figure, a solid sphere of the radius a=2.00 cm is concentric with a spherical conducting shell of inner radius b=2.00a and outer radius c=2.40a. The sphere has a net uniform charge q1=+5.00 C, the shell has a net charge q2=-q1. What is the net charge on the inner surface of the shell?

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EASY
JEE Main
IMPORTANT

In the figure, a solid sphere of radius a=2.00 cm is concentric with a spherical conducting shell of inner radius b=2.00 a and outer radius c=2.40 a. The sphere has a net uniform charge q1=+5.00 C. The shell has a net charge q2=-q1. What is the magnitude of the electric field at radial distance  r=1.50 a?

What is the net charge on the outer surface of the shell?

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