Point charge mass = 0.071kg BIG ENOUGH TO CONSIDER GRAVITY Charge = -6.77uC Plea

Question

Point charge mass = 0.071kg  BIG ENOUGH TO CONSIDER GRAVITY

Charge = -6.77uC

Please solve both parts A and B with work provided

Thanks

A point charge of mass 0.071 kg (big enough mass to consider gravity!!) and charge -6.77 mu C Is suspended by a thread between the vertical parallel plates of a parallel-plate capacitor, at shown below. A.) If the charge deflects to the right of the vertical, in what direction do the electric field lines point? B) If the angle of deflection is 22 degree, what is the magnitude of the electric field between the plates AND the tension in the string?

Explanation / Answer

a) since the charge is negetive and it deflects towards the right (force is in the direction towards right) thus the electric field lines are in the direction right to left
b) angle is 22 degrees
this T*cos(22) = mg
=> T = (0.071*9.8)/cos(22) = 0.7504444739548905 N
T*sin(22) = q*e
=> E = T*sin(22)/(6.77*10^-6) = 41524.586105776021722053315805 V/m
thus E= 41524.586105776021722053315805 V/m
T= 0.7504444739548905 N

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