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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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`E=-(dN)/(dx)`
(i) Region A
`(dV)/(dx)=(-3)/(0.2)=-15V_(i),E=(dV)/(dx)`
`:.E=-(-15)=15Vm^(-1)`
(ii) Region B
`(dV)/(dx)=(0)/(0.2)=0`
(iii) Region C
`(dV)/(dx)=(2)/(0.2)=10`
`E=-(dV)/(dx)=(-10)Vm^(-1)`
(iv) Region D
`(dV)/(dx)=(-6)/(0.2)=-30`
`E=-(dV)/(dx)=-(-30)=30Vm^(-1)`
(b)
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