A point charge (m = 1.0 g) at the end of an insulating string of length L = 46 cm (Fig. 16-66) is observed to be in equilibrium in a uniform horizontal electric field of E = 8800 N/C, when the pendulum's position is as shown in Fig. 16-66, with the charge d = 1.0 cm above the lowest (vertical) position. If the field points to the right in Fig. 16-66, determine the magnitude and sign of the point charge.

Question

A point charge (m = 1.0 g) at the end of an insulating string of length L = 46 cm (Fig. 16-66) is observed to be in equilibrium in a uniform horizontal electric field of E = 8800 N/C, when the pendulum's position is as shown in Fig. 16-66, with the charge d = 1.0 cm above the lowest (vertical) position. If the field points to the right in Fig. 16-66, determine the magnitude and sign of the point charge.
What is Magnitude? C

bobpursley · Answer

Without the figure, I am not certain.
The horizontal force is Eq. The vertical force is mg. It moves some angle theta from the vertical.

TanTheta=Eq/mg

SinTheta=1/46
so figure theta from that, then figure q from knowing theta.