Two point charges q1 and q2 are placed .30 m apart on the xaxis. Charge q1 has a

Question

Two point charges q1 and q2 are placed .30 m apart on the xaxis.
Charge q1 has a value of -3.0 x 10-9C The netelectric field at pont P is zero. a. What is the sign of charge q2 Justify answer Calculate magnitude of charge q2 Calculate magnitude of electric force on q2 and indicate itsdirection Determine x coordinate of point on line between the twocharges at which the electric potential is zero How much work must be done by an external force to bring anelectron from infinity to the point at which the electric potentialis zero. Explain your reasoning

Explanation / Answer

given the distance between the two charges is = 30 cm the charge of q1 is = -3.0*10-9 c as the net electric field at the point P is zero wehave                   1/k [ q1 / ( 0.2m)2 + q2 / ( 0.4m)2 ] =0                   substitute the value of q1 and calculate for q2 ------------------------------------------------- let x be the distance from the charge q1 where the potentialis zero.                 then the distance from the charge q2 is = 0.3m - x as the potential is zero   we have 1/k [ q1/x+ q2 / ( 0.3m -x) ] = 0                                   substitute the values of q1 , q2 and k and solve for x the work needed will be zero we have work done is equal to the potentialdifference between the points . here one point is infinity where the potential is zeroand the other point is inbetween the charges where the potential isagain zero so the work done is zero

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