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Two charges are hanging from the ceiling as shown, by a massless wire. Assume the two charges have the same magnitude. Derive an expression for Q that results in equilibrium.


Three point charges q1 = +4μc, q2 and q3 = +6μc are located as shown in diagram below. How much should charge q2 be to stabilize (net force zero) charge q3 on the left-hand side?

Consider three charges shown below. (q1=+2 μC,  q2=+2 μC)\left(q_1=+2\ \mu C,\ \ q_2=+2\ \mu C\right)

a) What is the charge (magnitude and sign) of Q if q1q_1is in equilibrium?

(Ignore the negative sign on q1 in the diagram; it is positive.)

b) What effect does the sign of q1 have on the result above? What effect does the magnitude of q1 have?
Part (a): enter in microcoulombs. If the charge is negative, enter a negative value.
Two point charges are located as shown below.
a) Where should be a third negative chargeq3q_3be placed on the x-axis such that the net forces onq1q_1 andq2q_2 be equal to zero?
b) What should the magnitude of the charge be?