50. One electron is at the origin of the x-y coordinate system. A second electro

Question

50. One electron is at the origin of the x-y coordinate system. A second electron is placed somewhere in the x-y plane where it feels a force Fx 2.4 x 1022 N and Fy 3.6 x 1022 N. Where is the second electron located? 52. Compute the electric field at the surface of a) a proton, assuming the proton is a sphere with a radius of 1.2 x 10-15 m and q = +e. b) a lead nucleus, which has a charge of q=+82e, assuming the nucleus is a sphere of radius 7.1 x 10s m. 56. Two point charges,-25 C and +50 C, are separated by a distance of 20 cm. what is the electric field (magnitude and direction) at a point halfway between the two charges? 57. For the electric dipole shown below, compute the electric field at the following locations: a) (-15 cm, 0 cm) b) (0 cm, -5 cm) 2.5 nc +2.5 nc (-10 cm, 0 cm) (10 cm, 0 cm)

Explanation / Answer

50. F = sqrt[ Fx^2 + Fy^2]

F = 4.33 x 10^-22 N

and F = k q1 q2 / r^2

4.33 x 10^-22 = (9 x 10^9) (1.6 x 10^-19)^2 / r^2

r =0.73 x 10^-3 m

theta = tan^-1(Fy/ Fx) = 56.3 deg

x = r cos56.3 = 4.05 x 10^-4 m

y = r sin56.3 = 6.07 x 10^-4 m

52. (a) E = k q / r^2

= (9 x 10^9) (1.6 x 10^-19) / (1.2 x 10^-15)^2

= 1 x 10^21 N/c

(B) E = (9 x 10^9) (82 x 1.6 x 10^-19) / (7.1 x 10^-15)^2

E = 2.34 x 10^21 N/c

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