HARD
JEE Advanced
IMPORTANT
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Two identical point charges having magnitude q each are placed as shown in figure. If we place a negative charge (of magnitude -q and mass m) at the midpoint of charges and displaced along the X– axis, examine whether it will perform the simple harmonic motion. If yes, then find the time period of oscillation of the particle.
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Important Questions on Coulomb's Law and Electric Field

HARD
JEE Advanced
IMPORTANT

Three points charges of +2 μC-3 μC and -3 μC are kept at the vertices A, B and C respectively of an equilateral triangle of side 20 cm as shown in the figure. What should be the sign and magnitude of the charge q to be placed at the midpoint M of side BC so that the charge at A remains in equilibrium?
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MEDIUM
JEE Advanced
IMPORTANT
Four particles each having a charge q are placed on the four vertices of a regular pentagon. The distance of each corner from the centre is a. Find the electric field at the centre of the pentagon.
HARD
JEE Advanced
IMPORTANT

Two small spheres, each of mass m, are suspended by light strings of length l as shown in the figure. A uniform electric field is applied in the X– direction. The spheres have charges equal to -q and +q. Determine the electric field that enables the spheres to be in equilibrium at an angle of θ.
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MEDIUM
JEE Advanced
IMPORTANT

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

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.