l T-Mobile LTE 9:21 PM 4796 e flipitphysics.com FlipltPhyscs Copy of Electricity
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l T-Mobile LTE 9:21 PM 4796 e flipitphysics.com FlipltPhyscs Copy of Electricity &Magnetism; I University Physics (calculus-bas Homework: Gauss' Law An infinite tine of charge with linear density ,-6.5 C/m is positioned along the axis of a thick insulating shell of inner radius a 2.4 cm and outer radius b-4.6 cm. The insulating shell is uniformly charged with a volume density of -774 "what is 2, the tinear charge density of the insulating shell? What is EP), the value of the xcomponent of the electric field at point P, located a distance 6.9 cm along the y-axis from the line of charge? What is EyP),the value of the y-component of the electric field at point P, located a distance 6.9 cm along the y-axis from the line of charge! What is Ex(R), the value of the x-component of the electric field at point R, located a distance 1.2 cm along a line that makes an angle of 30° with the x-axis? N/C What is EyR), the value of the y-component of the electric field at point R, located a distance 1.2 cm along a line that makes an angle of 30° with the x-axis? "For how many values of r: (2.4 cmr4.6 cm) is the magnitude of the electric field equal to o? Onone Cone Omore than oneExplanation / Answer
1) linear charge density, lambda2 = rho*area = -774*pi*(0.046^2-0.024^2) = -3.745 uC/m
2) Since r(P) vector is in y direction, x component is zero.
Ex (P) = 0 N/C
3) Ey(P) = 2k*lambda/r = 2*9e9*(6.5-3.745)*10^-6/0.069 = 718695 N/C
4)Ex(R) = 2k*lambda/r cos 30 degree = 2*9e9*(6.5)*10^-6/0.012 * cos 30 degree = 8443748 N/C
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