MEDIUM
JEE Advanced
IMPORTANT
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Two pieces of plastic, a full ring and a half ring, have the same radius and charge density. Which electric field at the centre has the greater magnitude? Define your answer.Question Image

Important Questions on Coulomb's Law and Electric Field

HARD
JEE Advanced
IMPORTANT

Two semi-circular wires ABC and ADC, each of radius R, are lying on x-y and x-z  planes, respectively, as shown in the figure. If the linear charge density of the semi-circular parts and straight parts is λ, find the electric field intensity E at the origin.
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HARD
JEE Advanced
IMPORTANT

An infinite wire having linear charge density λ is arranged as shown in the figure. A charge particle of mass m and charge q is released from point P. Find the initial acceleration of the particle (at t=0) just after the particle is released.
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HARD
JEE Advanced
IMPORTANT
A ring of the radius R has charge Q distributed uniformly over it. Calculate the charge that should be placed at the centre of the ring such that the electric field becomes zero at a point on the axis of the ring at distance R from the centre of the ring.
HARD
JEE Advanced
IMPORTANT
A charged particle q of mass m is in equilibrium at a height h from a horizontal infinite line charge with uniform linear charge density λ. The charge lies in the vertical plane containing the line charge. If the particle is displaced slightly (vertically), prove that the motion of the charged particle will be simple harmonic. Also find its time period.
MEDIUM
JEE Advanced
IMPORTANT

Is an electric field of the type shown by the electric lines in the figure physically possible?
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MEDIUM
JEE Advanced
IMPORTANT

Figure shows three electric field lines.
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At which point, A or B, will the acceleration of the test charge be greater if the charge is released?

MEDIUM
JEE Advanced
IMPORTANT

Figure shows that E has the same value for all points in front of an infinitely charged sheet. Is this reasonable? One might think that the field should be stronger near the sheet, because the charges are so much closer
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MEDIUM
JEE Advanced
IMPORTANT
Two points charges Q and 4Q are fixed at a distance of 12 cm from each other. Sketch the lines of force and locate the neutral point, if any.