1. Determine the values of the three charges [Warning: the calculation required

Question

1. Determine the values of the three charges [Warning: the calculation required here could be time consuming. Be sure to give yourself enough time to do it carefully.] (a.) Measure the potential at three points of your choosing. Call those field points A, B, and C. Think about this for a moment before you start, because judicious choices of these three field points will simplify the calculation of the charge values. (b.) Solve the following set of equations (see Eq. (1) above) for the charges (Q1, Q2, and Q3) VA = k(Q1/rA1 + Q2/rA2 + Q3/rA3) VB = k(Q1/rB1 + Q2/rB2 + Q3/rB3) VC = k(Q1/rC1 + Q2/rC2 + Q3/rC3) where k ? 8.99

Explanation / Answer

VA = k(Q1/6 + Q2/8.54 + Q3/16.55) VB = k(Q1/6.7 + Q2/8 + Q3/19.31) VC = k(Q1/16.155 + Q2/19.69 + Q3/7 for different values of Va,Vb,Vc we can solve these system of equations from matrix anaylysis. for va=1 vb=2 vc=3 we get the solution Q1=0.803 nC Q2=-0.797 nC Q3=0.003 nC

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