Two 2 g spheres are suspended by 7 cm long light strings. A uniform electric fie

Question

Two 2 g spheres are suspended by 7 cm long light strings. A uniform electric field is applied in a horizontal direction and the spheres have charges of -5.0 x 10^-8 C and 5.0 x 10^-8 C on them.

a) Determine the electric field intensity that enables the spheres to be in equilibrium at theta= 10o.

b) What would be the angle theta if there was no electric field?

Two 2 g spheres are suspended by 7 cm long light strings. A uniform electric field is applied in a horizontal direction and the spheres have charges of -5.0 times 10^-8 C and 5.0 times 10^-8 C on them. Determine the electric field intensity that enables the spheres to be in equilibrium at theta= 10o. What would be the angle theta if there was no electric field?

Explanation / Answer

r = L*sin10

Fe = k*q^2/(2r)^2 = k*q^2/4r^2

Fe = E*q


along y axis

T*cos10 = mg======> T = 112.872e?3

along x axis

Tsin10 + Fe = Eq

E = 582.352e+3 N/C

b) theta = 0

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