Question

Q6. Two large parallel thin plates having uniform charge densities to and are kept in X-Z
plane at a distance d apart. Sketch an equipotential surface due to electric field between the
plates. If a particle of mass m and charge - remains stationary between the plates, what is the
magnitude and direction of the field?​

Answer 1

Answer:

Given two uniformly large parallel plate having charge densities +σ and −σ kept in x-z plane at distance d apart.

We have to sketch an equipotential surface due to electric field between the plates.

Here electric field E between the plates is given by ε0σ. Now, V=Ed=ε0dσ

So, any set of equidistant points between the plates will have same electric potential. 

We also have electric field between the plates if a particle of mass m and charge −q remains stationary between the plates.

So, the gravitational force experienced by charge =mg

Electrostatic force experienced by the charge =qE=ε0qσ

Now, as the charge is static, 

mg=qE

⇒mg=ε0qσ

⇒σ=qmgε0

Thus, E=ε0σ=ε0qmgε0=qmg

The direction of electric field is downward i.e, along −y axis.

The equipotential surface is as in shown up side.

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Answer 2

Answer:

hmmmmmmmmmmmmmmm first one correct