014 10.0 points Two identical small charged spheres hang in equilibrium with equ

Question

014 10.0 points Two identical small charged spheres hang in equilibrium with equal masses as shown in the figure. The length of the strings are equal and the angle (shown in the figure) with the vertical is identical. 0.02 kg 0.02 kg Find the magnitude of the charge on each sphere. The acceleration of gravity is 9.8 m/s2 and the value of Coulomb's constant is 8.98755 x 10 N m/C Answer in units of C 015 10.0 points A rod 22.3 em long is uniformly charged and has a total charge of -24.3 C. Find the magnitude of the electric field along the axis of the rod at a point 45.9192 em from the center of the rod. The Coulomb con- stant is 8.98755 x 10 N m/C2 Answer in units of N/C 016 10.0 points A circular are has a uniform linear charge density of -6 nC/m. What is the maguitude of the electric field at the center of the circle along which the are

Explanation / Answer

14)Given,

L = 0.13 m ; m = 0.02kg ; theta = 3 deg

from figure:

tan(theta) = Fe/Fg

tan(theta) = Fe/mg

Fe = mg tan(theta)

Fe = 0.02 x 9.81 x tan3 = 0.01 N

d = 2 x 0.13 x sin3 = 0.014 m

we know that

F = k q1q2/r^2 ; for q1=q2 = q

F = k q^2/r^2

q = sqrt (F r^2/k)

q = sqrt (0.01 x 0.014^2/(8.98755 x 10^9))= 1.47 x 10^-8 C

Hence, q = 1.47 x 10^-8 C

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