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M Homework: Gauss\' Law x C secure https:// /www.flipitphysics.co m/Course/ViewP

ID: 1530609 • Letter: M

Question

M Homework: Gauss' Law x C secure https:// /www.flipitphysics.co m/Course/ViewProblem?unitltemID-2441988&enrollmentID-233462; Line Charge and Charged cylindrical Shell II 1 2 3 4 5 6 7 30 An infinite line of charge with linear density 1 7.2HC/m is positioned along the axis of a thick conducting shell of inner radius a 3.3 cm and outer radius b m 4.8 cm and infinite length. The conducting shell is uniformly charged with a linear charge density A2 3.5 uc/m. 1) What is Ex(P), the electric field at point P, located at (x,y) 8.2 cm, 0 cm) NIC Submit 2) What is EV(P he electric field at point P, located at (x,y 8.2 cm, 0 cm) NIC Submit Optional interactive Example Sph eres Interactive Example Cylinder Standard Exercise Point Charge and Charged Sphere Standard Exercise Line Charge and Charged Cylindrical Shell Standard Exercise Line Charge and Charged Cylindrical Shell Standard Exercise Infinite Charged Sheet and Infinite Conducting Slab

Explanation / Answer

1) |E| = (lamda1 + lamda2)/(2*pi*epsilon*r)

= 2*k*(lamda1 + lamda2)/r


= 2*9*10^9*(-7.2 + 3.5)*10^-6/0.082

= 8.12*10^5 N/c (towards +x axis)

so,

Ex(P) = 8.12*10^5 N/c <<<<<<<<<<-----------Answer

2) Ey(P) = 0

3) |E| = lamda1/(2*pi*epsilon*r)

= 2*k*lamda1/r


= 2*9*10^9*(-7.2)*10^-6/0.019

= 6.82*10^6 N/c (towards the center)

so,

Ex(R) = -E*sin(30)

= -6.82*10^6*sin(30)

= -3.41*10^6 N/c <<<<<<<<<<---------------Answer


4) Ey(R) = E*cos(30)

= 6.82*10^6*cos(30)

= 5.91*10^6 N/c <<<<<<<<<<-----------Answer