An infinite line of charge with linear density λ1 =7.2 μC/m is positioned along the axis of a thick insulating shellof inner radius a = 2.2 cm and outer radius b = 4.1 cm. Theinsulating shell is uniformly charged with a volume density of Ï =-562 μC/m3.
1) a) What is λ2, the linear charge density of theinsulating shell?____μC/m
b) What is Ex(P), the value of the x-component of theelectric field at point P, located a distance 7.9 cm along they-axis from the line of charge?____N/C
c) What is Ey(P), the value of the y-component of theelectric field at point P, located a distance 7.9 cm along they-axis from the line of charge?___N/C
d) What is Ex(R), the value of the x-component of theelectric field at point R, located a distance 1.1 cm along a linethat makes an angle of 30o with the x-axis?_____N/C
e) What is Ey(R), the value of the y-component of theelectric field at point R, located a distance 1.1 cm along a linethat makes an angle of 30o with the x-axis?____N/C
f) For how many values of r: (2.2 cm < r < 4.1 cm) is themagnitude of the electric field equal to 0?
none
one
more than one
g) If we were to double λ1 (λ1 = 14.4μC/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
