Question

1 16.2 P011 My Ask Your An electron is at the origin. (a) Calculate the electric potential VA at point A,x- 0.310 om. (b) Calculate the electric potential va at point B, x . o.715 cm. (c) Would a negatively charged particle placed at point A necessarily go through this same potential dilference upon reaching point B? Explain This answer has not been graded yet Need Help? RedN

Answer 1

a)

Electric potential at point a can be written as

Va= q / 4π $\epsilon$r

Where

$\epsilon$= $8.85*10^-12$ = permittivity of the free space

r= distance from the Origin to the x

r=x= 0.31cm=$0.31*10^-2 m$

Therefore

$Va= 1.6*10^-19/4*3.14*8.85*10^-12*0.31*10^-2$

Va= 0.464*$10^-6$ V

Where charge of electron q= 1.6*$10^-19$ C

b)

Now electric potential Vb at point x= 0.715cm

Vb = q/4π$\epsilon$r

Where r=x= 0.715*$10^-2 m$

$Vb= 1.6*10^-19/4*3.14*8.85*10^-12*0.715*10^-2$

Vb= 0.210 * $10^-6$ V

c)

The potential difference Vb - Va is

Vb - Va= (0.210 - 0.464)* $10^-6$

Vb - Va= -0.254 V