Question

An infinite line of charge with linear density λ₁ = 7.2 μC/m is positioned along the axis of a thick insulating shell of inner radius a = 2.2 cm and outer radius b = 4.1 cm. The insulating shell is uniformly charged with a volume density of ρ = -562 μC/m³.

1) a) What is λ₂, the linear charge density of the insulating shell?____μC/m

b) What is E_x(P), the value of the x-component of the electric field at point P, located a distance 7.9 cm along the y-axis from the line of charge?____N/C

c) What is E_y(P), the value of the y-component of the electric field at point P, located a distance 7.9 cm along the y-axis from the line of charge?___N/C

d) What is E_x(R), the value of the x-component of the electric field at point R, located a distance 1.1 cm along a line that makes an angle of 30^o with the x-axis?_____N/C

e) What is E_y(R), the value of the y-component of the electric field at point R, located a distance 1.1 cm along a line that makes an angle of 30^o with the x-axis?____N/C

f) For how many values of r: (2.2 cm < r < 4.1 cm) is the magnitude of the electric field equal to 0?

none

one

more than one

g) If we were to double λ₁ (λ₁ = 14.4 μC/m), how would E, the magnitude of the electric field at point P, change?

E would double

E would increase by more than a factor of two

E increases by less than a factor of two

E decreases by less than a factor of two

E decreases by more than a factor of two

h) In order to produce an electric field of zero at some point r > 4.1 cm, how would λ₁ have to change?

Change its sign and increase its magnitude

Change its sign and decrease its magnitude

Keep its sign the same and increase its magnitude

Keep its sign the same and decrease its magnitude

Answer 1

Don't forget to put negative sign with with answer of part a and do let me know in case of any mistake.. I will rectify it asap..

Thank you..