1. Two infinite lines of charge lie in the x-y-plane, parallel to the y-axis. Li
ID: 2218037 • Letter: 1
Question
1. Two infinite lines of charge lie in the x-y-plane, parallel to the y-axis. Line 1 has linear charge density ?1 = 4.2 ?C/m and passes through x = -2.5 cm. Line 2 has linear charge density ?2 = 2.42 ?C/m and passes through x = +2.5 cm. Determine the magnitude and direction of the force on a charge q = -4.51 ?C, placed at the origin. 2.Imagine a Gaussian cube of side length l = 2.25 cm centered on the origin in the previous problem. What is the flux through the cube? 3.A ball of charge q = 2.25 ?C and mass m = 20 metric tons is suspended in mid-air between two large parallel plates of opposite charge. The electric field between the plates is approximately uniform. Determine the magnitude and direction of the electric field.Explanation / Answer
electric field due to a line charge =/2r
so net electric field at origin E= 1/2(4.2/0.025-2.42/0.025) directed toward positve x axis
so force on -4.51 charge = qE in the negative x axis =
2.
flux = E* area=E*0.02252
3.qE=mg
E=20*1000g/2.25 = 8.711*1010 in the upward direction
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