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Chapter 26: Q. 14 (page 738)

The electric potential along the x-axisisV=100x2V, where xis in meters. What is Exat

(a) x=0mand

(b) x=1m?

Short Answer

Expert verified

The field is 0atx=0 and -200V/mata=1m.

Step by step solution

01

Given information and theory used   

Given : The electric potential along the x-axis is : V=100x2V

(a) x=0mand (b) x=1m

Theory used :

The electric field is expressed as a function of potential as :

E(x)=-dV(x)dx

02

Calculating the required electric potential 

E(x)=-dV(x)dx=-100路2xV=-200xV is the xcomponent of the electric field that is equivalent to the derivative of the potential with respect to x

This gives Ex=0at x=0mand

E=-200V/mat x=1m.

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