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The figure, shows four charges q1, q2, q3 and q4 fixed in space. Then the total flux of the electric field through a closed surface S, due to all the charges, is

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Important Questions on Electric Flux and Gauss's Law

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JEE Advanced
IMPORTANT
PHYSICS for Joint Entrance Examination JEE (Advanced) Electrostatics and Current Electricity>Chapter 2 - Electric Flux and Gauss's Law>Exercise>Q 11
Eight charges, 1 μC,-7 μC,-4 μC, 10 μC, 2 μC,-5 μC,-3 μC and 6 μC, are situated at the eight corners of a cube of side 20 cm. A spherical surface of radius 80 cm encloses this cube. The centre of the sphere coincides with the centre of the cube. Then, the total outgoing flux from the spherical surface (in units of V-m) is
EASY
JEE Advanced
IMPORTANT
PHYSICS for Joint Entrance Examination JEE (Advanced) Electrostatics and Current Electricity>Chapter 2 - Electric Flux and Gauss's Law>Exercise>Q 12
In a region of space, the electric field is given by E→=8i^+4j^+3k^. The electric flux through the surface of the area 100 units in the xy plane is
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JEE Advanced
IMPORTANT
PHYSICS for Joint Entrance Examination JEE (Advanced) Electrostatics and Current Electricity>Chapter 2 - Electric Flux and Gauss's Law>Exercise>Q 13
A flat, square surface with sides of length L is described by the equations x=L, 0≤y≤L, 0≤z≤L. The electric flux through the square due to a positive point charge q located at the origin x=0, y=0, z=0 is
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JEE Advanced
IMPORTANT
PHYSICS for Joint Entrance Examination JEE (Advanced) Electrostatics and Current Electricity>Chapter 2 - Electric Flux and Gauss's Law>Exercise>Q 14

A dielectric in the form of a sphere is introduced into a homogeneous electric field. A, B and C are three points as shown in the figure. Then
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JEE Advanced
IMPORTANT
PHYSICS for Joint Entrance Examination JEE (Advanced) Electrostatics and Current Electricity>Chapter 2 - Electric Flux and Gauss's Law>Exercise>Q 15

The electric field on two sides of a large charged plate is shown in the figure. The charge density on the plate in SI units is given by (ε0 is the permittivity of free space in SI units)

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JEE Advanced
IMPORTANT
PHYSICS for Joint Entrance Examination JEE (Advanced) Electrostatics and Current Electricity>Chapter 2 - Electric Flux and Gauss's Law>Exercise>Q 16
A sphere of the radius R carries charge such that its volume charge density is proportional to the square of the distance from the centre. What is the ratio of the magnitude of the electric field at a distance 2R from the centre to the magnitude of the electric field at a distance of R2 from the centre?
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JEE Advanced
IMPORTANT
PHYSICS for Joint Entrance Examination JEE (Advanced) Electrostatics and Current Electricity>Chapter 2 - Electric Flux and Gauss's Law>Exercise>Q 17

An uncharged conducting large plate is placed as shown. Now an electric field E towards the right is applied. Find the induced charge density on the right surface of the plate.

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JEE Advanced
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PHYSICS for Joint Entrance Examination JEE (Advanced) Electrostatics and Current Electricity>Chapter 2 - Electric Flux and Gauss's Law>Exercise>Q 18
An uncharged aluminium block has a cavity within it. The block is placed in a region where a uniform electric field is directed upward. Which of the following is a correct statement describing conditions in the interior of the block’s cavity?