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Electric Potential Due to Charged Infinite Sheets

45.2 charge p...

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45.2 charge particles of mass m and charge +4q and (-q) are separated by a distance x. Another particle of +q charge and mass m from Infinity is projected towards the -q charge. Find the initial minimum velocity of +q so that it reaches(-q) charge

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Q. A point charge

+ Q

m

is fixed on horizontal smooth surface. Another point charge having magnitude

+ 2 Q

2 m

is projected horizontal towards the charge

+ Q

from far distance with velocity

v_{o}

.

Acceleration of the particle

+ 2 Q

when it is closest to fixed particle

+ Q

Q. A point charge

q

m

is projected from a long distance with speed

v

towards another stationary particle of same mass and charge. The distance of closest approach of the particles is :

Q. Two identical charges each having

Q

are fixed at a distance

2 d

apart. A third particle having a mass

m

- q

is projected from the midpoint of the line joining the two charges along a direction perpendicular to the line joining the two charges. Find the minimum velocity to be imparted, such that

- q

charge reaches infinity.

Q. A point charge

+ Q

m

is fixed on horizontal smooth surface. Another point charge having magnitude

+ 2 Q

2 m

is projected horizontal towards the charge

+ Q

from far distance with velocity

v_{0}

.
The impulse acting on the system of particles

(+ Q & + 2 Q)

in the time interval when distance between them becomes

d

Q. Figure shows a charge

+ Q

clamped at a point in free space. From a large distance another charge particle of charge

- q

m

is thrown towards

+ Q

with an impact parameter

d

as shown with speed

v

. How many positions for minimum separation would be attained for the particle.

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