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Charging by Rubbing

Two identical...

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Two identical point charges +Q are fixed in a gravity free space at a separation 2L. Another particle with mass m and charge - is placed midway between these charges. Now this particle is slightly displaced a distance x, perpendicular to line joining these charges and released. Show that this particle will execute SHM and also find its oscillation period

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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. A particle of mass

m

q

is placed between two fixed point charges of charge

q

2 L

. Find the frequency of oscillation of mass particle, if it is displaced for a small distance along the line joining the charges.

Q. Two charges of equal magnitude

q

are placed at a distance

2 a

. Another charge

q

m

, is placed midway between the two charges on

X - a x i s

. If this charges is displaced from equilibrium state to a distance

x (x << a)

, then the particle.

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 midpoint between two other fixed similar charges each of magnitude

Q

placed at a distance

2 d

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

x (x << d)

along the line 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 space)

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