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Electric Field Due to a Line of Charge along Its Axis

73.Two charge...

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73.Two charges each of magnitude Q are fixed at a distance 2a distance apart. A third charge(-q of mass 'm') is placed at the mid point of the two charges; now -q charge is slightly displaced perpendicular to the line joining the charges then find its time period.

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Q. Two charges each of magnitude

Q

2 a

distance apart and a third charge

q

m

is placed at the midpoint of the line joining the two charges; all charges being of the same sing. If

q

charge is slightly displaced from its position along the line and released then determine its time period.

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 particle of mass

m

+ q

is midway between two fixed charged particles, each having a charge

+ q

and at a distance

2 L

apart. The middle charge is displaced slightly along the line joining the fixed charges and released. The time period of oscillation is proportional to

Q. Two electrons having charge

(- e)

each are fixed at a distance

‘2d’

. A third charge proton placed at the midpoint is displaced slightly by a distance

x (x<<d)

perpendicular to the line joining the two fixed charges. Proton will execute simple harmonic motion having angular frequency:

(m =

mass of charged particle)

Q. A particle of mass

M

q

is at rest at the mid point between two other fixed similar charges each of magnitude

Q

placed a distance

2 d

apart. The system is colinear as shown in figure. The particle is now displaced by a small amount

x (x << d)

along the joining the two charges and is left to itself. It will now oscillate about the mean position with a time period:

ε_{0} =

permittivity of free psace)

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