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The particle P shown in the figure has a...

The particle P shown in the figure has a mass of 10 mg and a charge of `-0.01 muC`. Each plate has a surface area `10^(-2) m^2` on one side. What potential difference V should be applied to the combination to hold the particle P in equilibrium?

A

`43 mV`

B

`35 mV`

C

` 50 mV`

D

`55 mV`

Text Solution

Verified by Experts

The correct Answer is:
A
`mg=qE,` where `E=` electric field
or `mg=q(V)/(d)` (where `d=` separation at the plates)
`=q(V)/(2) (therefore (epsilon_(0)A)/(d)=C(1)/(d)=(C)/(epsilon_(0)A))`
or `V=(2"mg"epsilon)A)/(qC)`
`=(10^(-4)xx10xx2.2xx10^(-12)xx10^(-2))/(10^(-8)xx0.04xx10^(-6))`
`=(10^(-4)xx9.8xx8.88xx10^(-12))/(10^(-4)xx0.04xx10^(-6))`
`=43mV`
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