A 5.0 mu C point charge and a 7.0 mu C point charge are a distance L apart. Wher

Question

A 5.0 mu C point charge and a 7.0 mu C point charge are a distance L apart. Where should a third point charge be placed so that the electric force on that third charge is zero? (Use the following as necessary: L.) 0.54-L away from the 5.0 mu C charge, between the charges Three charges, each of magnitude 6 nC, are at separate corners of a square of edge length 10 cm. The two charges at opposite corners are positive, and the other charge is negative. Find the force exerted by these charges on a fourth charge q = + 3 nc at the remaining (upper right) corner. (Assume the +x axis is directed to the right and the +y axis is directed upward.) 3.23e-5 N i cap + 3.32 e-5 N j cap A point charge of -1.5 mu C is located at the origin. A second point charge of 7 mu C is at x = 1 m, y = 0.5 m. Find the x and y position at which an electron would be in equilibrium. x = _____ m y = _____ m

Explanation / Answer

7] Electric field has to be zero at the given point. Fields has to be balanced by opposite charges

kq1/r1^2 = kq2/(L-r1)^2

5/r1^2 = 7/(L-r1)^2

[(L-r1)/r1]= sqrt(7/5)

L/r1 - 1 = 1.183

L/r1 = 2.183

r1 = 1/2.183 L

= 0.458 L answer

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