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Principle of Superposition

A charged par...

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A charged particle of mass m and charge q is projected towards a fixed charged particle of charge 3q along the line joining them,with a speed v from a very large dis†an ce .What is the minimum seperation attained between particles?

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Q. A particle A of mass m and charge Q moves directly towards a fixed particle B, which has charge Q. The speed of A is v when it is far away from B. The minimum seperation between the particles is proportional to

Q. A particle of mass

1 kg

- 2 μ C

(initially at a very large distance) is projected with initial velocity

200 m/s

towards a positive charged particle of charge

2 μ C

which is fixed. The distance of

1 kg

particle from heavy particle when speed of

1 kg

particle is equal to twice of initial value is

\frac{x}{10^{7}} m

. Find the value of ‘

x

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. 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.

Q. A particle of mass

m

+ q

approaches from a very large distance towards a uniformly charged ring of radius

R

and charge, mass same as that of particle, with initial velocity

v_{0}

along the axis of the as shown in the figure. What is the closet distance of approach between the ring and the particle? Assume the space to be gravity free and frictionless.

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