Question

Two 2.30-g spheres are suspended by 11.5-cm-long light strings (see the figure). A uniform electric field is applied in the x-direction. If the spheres have charges of −4.00 ✕ 10⁻⁸ C and +4.00 ✕ 10⁻⁸ C, determine the electric field intensity that enables the spheres to be in equilibrium at θ = 16.0°.

Two 2.30-g spheres are suspended by 11.5-cm-long light strings (see the figure). A uniform electric field is applied in the x-direction. If the spheres have charges of -4.00 x 10-8 C and +4.00 x 10-8 C, determine the electric field intensity that enables the spheres to be in equilibrium at 0 = 16.0°. È 49 Your response differs from the correct answer by more than 10%. Double check your calculations. N/C

Answer 1

Force, F1 = k q1 q2/r^2

F2 = qE

Forces along horizontal direction,

F2 - F1 - T sin(10) = 0

F2 = F1 + T sin(10)

qE = [k q1 q2/r^2] + T sin(10)

E = (9 x 10^9 x 4 x 10^-8/(0.23 sin(16))^2) + (0.0023 x 9.8 x tan(16)/4 x 10^-8)

E = 2.51 x 10^5 N/C

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