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The electrostatic potential is given as ...

The electrostatic potential is given as a function of x in figure ( a) and (b) . Calculate the corresponding electric fields in regions A, B, C and D . Plot the electric field as a function of x for the figure (b).

Text Solution

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(i) (a) Electric field `|E| = (dV)/(dx)`
For region A
dV = (8 - 5) = 3V
dx = (0.2 - 0) = 0.2 m
`E_x = (dV)/(dx)`
`:.E_x = 3/0.2`
`= 15V m^-1 (regio n A)`
(b) For region B
`E_x = 0`
(c) For region C
dV = (7 - 5) = 2V
For region C dx = (0.6 - 0.4) = 0.2
`E_x = -(dV)/(dx)=-2/0.2`
= -10 V `m^-1`
(d) For region D
dV = (7 - 1) = 6V
dx = (0.8 - 0.6) = 0.2
`E_x = (dV)/(dx) = 6/0.2`
= 30 V `m^-1`

This graph represents he above mentioned regions.
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