Active Figure 15.16 Electric Field Lines Instructions: Use the active figure bel

Question

Active Figure 15.16 Electric Field Lines Instructions: Use the active figure below to complete the following sections. Explore Two small charged metal spheres are placed a distance of 0.08 m apart along the x axis at xo 0.04 m and at xo- 0.04 m. Charge is Charge of transferred from one left particle sphere to the other, giving the first sphere a charge of 3.9 x 10 C. If there are 100 field lines per cm2 at the origin, what should be the density and direction of field lines at the location y 3.00 cm along the y axis? Charge of right particle

Explanation / Answer

E(y = 0.03) = 2 k x0 Q/ [(x0)^2 + 0.03^2]^(3/2)

E(y = 0) = 2 k x0 Q/ x0^3

E(0.003)/E(0) = x0^3/[(x0)^2 + 0.03^2]^(3/2)

E(0.003)/E(0) = 0.04^3/[0.04^2 + 0.03^2]^(3/2) = 0.512

E(0.003)/E(0) = 0.512

The density will be:

D = 100 x E(0.003)/E(0)

D = 100 x 0.512 = 51.2 cm^2

D = 51.2 cm^2

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