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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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Important Questions on Electric Flux and Gauss's Law

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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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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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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JEE Main
IMPORTANT

A uniform charge density of 500 nC m-3 is distributed throughout a spherical volume of the radius 6.00 cm. Consider a cubical Gaussian surface with its centre at the centre of the sphere. What is the electric flux through this cubical surface if its edge length is 4.00 cm?

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A uniform charge density of 500 nC m-3 is distributed throughout a spherical volume of the radius 6.00 cm. Consider a cubical Gaussian surface with its centre at the centre of the sphere. What is the electric flux through this cubical surface if its edge length is 14.0 cm?

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JEE Main
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The net electric flux through each face of a die (singular of dice) has a magnitude in units of 103 N m2 C-1 that is exactly equal to the number of spots N on the face (1 through 6). The flux is inward for N odd and outward for N even. What is the net charge inside the die?
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JEE Main
IMPORTANT

A Gaussian surface S encloses two charges q1=q and q2=-q. The field at P is, 

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where E1E2 and E3 are the field contributed by q1q2 and q3 at P respectively.

EASY
JEE Main
IMPORTANT
The electric field in a region is radially outward with magnitude E=Aγ0. The charge contained in a sphere of radius γ0 centered at the origin is,