a. What is E x (P), the value of the x-component of the electric field at point

Question

a. What is Ex(P), the value of the x-component of the electric field at point P, located a distance 7.2 cm along the x-axis from q1?

b. What is Ey(P), the value of the y-component of the electric field at point P, located a distance 7.2 cm along the x-axis from q1

c. What is Ex(R), the value of the x-component of the electric field at point R, located a distance 1.05 cm along the y-axis from q1?

d. What is Ey(R), the value of the y-component of the electric field at point R, located a distance 1.05 cm along the y-axis from q1?

e. What is ?b, the surface charge density at the outer edge of the shell?

f. What is ?a, the surface charge density at the inner edge of the shell?

g. For how many values of x: (4.7 cm < x < infinity) is it true that Ex = 0?

none
one
more than one

h. Define E2 to be equal to the magnitude of the electic field at r = 1.05 cm when the charge on the outer shell (q2) is equal to 2.1 ?C. Define Eo to be equal to the magnitude of the electric field at r = 1.05 cm if the charge on the outer shell (q2) were changed to 0. Compare E2 and Eo.

  E2 < Eo
  E2 = Eo
  E2 > Eo

A point charge q15.3 HC is located at the center of a thick conducting shell of inner radius a = 2.1 cm and outer radius b = 4.7 cm, The conducting shell has a net charge of q2 2.1 HC. 92 9

Explanation / Answer

a) Ex(P) = k*(q1+q2)/x^2

= 9*10^9*(-5.3 + 2.1)*10^-6/0.072^2

= -5.56*10^6 N/c

b) Ey(p) = 0

c) Ex(R) = 0

d) Ey(R) = k*q1/y^2

= 9*10^9*(-5.3)*10^-6/0.0105^2

= -4.33*10^8 N/c

e) charge on outer surface, qb = 2.1 - 5.3

= -3.2 micro C

sigma_b = qb/(4*pi*b^2)

= -3.2*10^-6/(4*pi*0.047^2)

= -1.15*10^-4 C/m^2

f) charge on inner surface, qa = + 5.3 micromc

sigma_a = qa/(4*pi*a^2)

= 5.3*10^-6/(4*pi*0.021^2)

= 9.56*10^-4 C/m^2

g) none

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