Infinite charges of magnitude q each are lying at x =1, 2, 4, 8... meter on X-axis. The value of the intensity of the electric field at point x = 0 due to these charges will be 

(1) 12 × 109q N/C

(2) Zero

(3) 6 × 109q N/C

(4) 4 × 109q N/C

Concept Questions :-

Electric field
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A pendulum bob of mass 30.7×106kg and carrying a charge 2×108C is at rest in a horizontal uniform electric field of 20000 V/m. The tension in the thread of the pendulum is (g=9.8m/s2)

(1) 3×104N

(2) 4×104N

(3) 5×104N

(4) 6×104N 

Concept Questions :-

Electric field
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A charged ball B hangs from a silk thread S, which makes an angle θ with a large charged conducting sheet P, as shown in the figure. The surface charge density σ of the sheet is proportional to 

(1) sin θ

(2) tan θ

(3) cos θ

(4) cot θ

Concept Questions :-

Electric field
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Two-point charges +8q and –2q are located at x = 0 and x = L respectively. The location of a point on the x-axis at which the net electric field due to these two point charges is zero is 

(1) 8 L

(2) 4 L

(3) 2 L

(4) L4

Concept Questions :-

Electric field
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Three infinitely long charge sheets are placed as shown in the figure. The electric field at point P is 

(1) 2σεok^

(2) 2σεok^

(3) 4σεok^

(4) -4σεok^

Concept Questions :-

Electric field
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Two infinitely long parallel conducting plates having surface charge densities +σ and –σ respectively, are separated by a small distance. The medium between the plates is a vacuum. If ε0 is the dielectric permittivity of vacuum, then the electric field in the region between the plates is 

(1)  0 volts/meter

(2) σ2εovolts/meter

(3) σεovolts/meter

(4) 2σεovolts/meter 

Concept Questions :-

Electric field
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Four-point +ve charges of the same magnitude (Q) are placed at four corners of a rigid square frame as shown in the figure. The plane of the frame is perpendicular to Z-axis. If a –ve point charge is placed at a distance z away from the above frame (z<<L) then 

(1) – ve charge oscillates along the Z-axis.

(2) It moves away from the frame

(3) It moves slowly towards the frame and stays in the plane of the frame

(4) It passes through the frame only once.

Concept Questions :-

Coulomb's law
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A cylinder of radius R and length L is placed in a uniform electric field E parallel to the cylinder axis. The total flux for the surface of the cylinder is given by 

(1) 2πR2E

(2) πR2/E

(3) (πR2πR)/E 

(4) Zero

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Electric field at a point varies as r° for

(1) An electric dipole

(2) A point charge

(3) A plane infinite sheet of charge

(4) A line charge of infinite length

Concept Questions :-

Electric field
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An electric charge is placed at the centre of a cube of side α. The electric flux on one of its faces will be 

(1) q6ε0

(2) qε0a2

(3) q4πε0a2

(4) qε0 

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