Electrostatics> Two negatively charged particles of unit ...

Two negatively charged particles of unit magnitude and charge are placed along a straight line. If charge q is placed at the midpoint between charges, then, q is in a) stable equilibrium b) unstable equilibrium c) neutral equilibrium d) none

Aishwarya , 10 Years ago

Grade 12th pass

1 Answers

Arun Kumar

Last Activity: 10 Years ago

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assume distance between the particles -1c ans -1c is 2d

then q charge is at d

assume q is positve (without loss of generality)

then attr for by left -1c =kq/d^2

attr. right -1c =kq=/d^2

lets assume particle suffers a small diplacement of x x<<d towards right particle

now force left= kq/(d+x)^2

right =kq(/d-x)^2

since x<<d

we approximate the force and find difference right -left =4kqx/d^2 (1+x)^n=1+nx when x<<1

which is not proportional to -x

so unstable equilibirum

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Electrostatics> Two negatively charged particles of unit ...

Two negatively charged particles of unit magnitude and charge are placed along a straight line. If charge q is placed at the midpoint between charges, then, q is in a) stable equilibrium b) unstable equilibrium c) neutral equilibrium d) none

Aishwarya , 10 Years ago

Arun Kumar

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