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Chapter 25: Q. 38 (page 711)

A -10.0 nC point charge and a +20.0 nC point charge are 15.0 cm apart on the x-axis. a. What is the electric potential at the point on the x-axis where the electric field is zero? b. What is the magnitude of the electric field at the point on the x-axis, between the charges, where the electric potential is zero?

Short Answer

Expert verified

The electric potential at the x-axis point is 103 V

The magnitude of the electric field at the x-axis point is-5.4脳104N.Ci炉

Step by step solution

01

The theory of  electric potential  

As the equation of the electric field of a point is

E=1/(4蟺蔚0)q/d2q1=10脳10-9CE1=1/(4蟺蔚0)[(10脳10-9C)/d2]q2=20脳10-9Cd=0.15m+dE2=1/(4蟺蔚0)[(20脳10-9C)/(0.15m+d)2]

As

E1=E2

The electric potential value

0.15m+dd=2d=0.362mV=kq1d+kq2m+dV=103V

02

Definition of The magnitude of the electric field 

As per the figure

V=kq1d+kq20.15m-d

Applying all values in the above equation

d=0.05m

Applying the value of d,

E1=(-36000N.C)i炉E2=(-18000N.C)i炉E1+E2=-5.4脳104N.Ci炉

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