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Now let\'s apply Coulomb\'s law and the superposition principle to calculate the

ID: 1571833 • Letter: N

Question

Now let's apply Coulomb's law and the superposition principle to calculate the force on a point charge due to the presence of other nearby charges. Two point charges are located on the positive x axis of a coordinate system, Charge q_1 = 3.0nC is 2.0 cm from the origin, and charge q_2 = -8.0 nC is 4.0 cm from the origin. What is the total force (magnitude and direction) exerted by these two charges on a third point charge q_3 = 5.0nC located at the origin? Our diagram of the situation Free-body diagram for q_3 In the same example, what is the magnitude of the force exerted on q_3 by q_2 and q_1 ? Express your answer in newton to three significant figures. In the sample example, what is the direction of the force exerted on q_1 by q_2 and q_1 ?

Explanation / Answer

Here ,

part A )

for the net force on the charge q1 by q2 and q3

force on q1 = k * q1 * q2/r1^2 + k * q1 * q3/r^2

force on q1 = 9 *10^9 * (10^-9)^2 (3 * 5/0.02^2 + 3 * 8/.02^2)

force on q1 = 8.78 *10^-4 N

the force on the charge q1 is 8.78 *10^-4 N

part B)

the direction on the charge q1 is towards positive x direction

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