two parallel conducting plates are separated by 10.0 cm, and one of them is taken to be at zero volts. (a) what is the electric field strength (in kv/m) between them, if the potential 5.50 cm from the zero volt plate (and 4.50 cm from the other) is 470 v?



Answer :

Based on the problem, the distance between two parallel conducting plate is x=10cm=0.10mx=10cm=0.10m

The electric field

a)

The potential difference is V= 593VV= 593V

The distance between is d=7.05cm= 0.705md= 7.05cm= 0.705m

Recall the expression for the electric field.

E= VdE= Vd

Substitute the given values in above equation.

E= 5930.705= 841.13V/ mE =5930.705 = 841.13V/Vmm

Thus, the electric field strength is 841.13V/m.841.13V/Vmm.

b)

Recall the term for the voltage between the plate.

ΔV= E× x ΔV= E×x

Substitute the given values in above equation.

ΔV=841.13V/m×0.10m=84.11VΔV=841.13V/Vmm×0.10m=84.11V

Thus, the voltage within the plate is 84.11V.

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