(2596) Problem 4: Charge 91 = 10.5 nC is located at the coordinate system origin

Question

(2596) Problem 4: Charge 91 = 10.5 nC is located at the coordinate system origin, while charge g2 4.09 nC is located at (a, 0), where a 1.4 m. The point P has coordinates (a, b), where b 0.85 m. A third charge q3-12.5 nC will be placed later (a,b) qi 50% Part (a) Find the electric potential VP at point P, n volts. Assume the potential is zero at infinity. cos0 cotan0 asin acos0 atan0 acotan0 sinh0 cosh0 tanh0 cotanh0 ODegrees O Radians sin0 END 50% Part ow much work W, in would vou have to do to the third c from v far awayv to the point P? Grade Summa Submissions Attempts remai detailed view cos0 4 5 6 per attemp atan0 acotan sinh cosh0 tanh0 cotanh0 ODegrees ORadians Show transcribed image text

Explanation / Answer

A)

Electric potential at point P

V= k( q1/r1 + q2/r2)

= 9*10^9* 10^-9 *( 10.5/sqrt(0.85^2+ 1.4^2) - 12.5/0.85)

= 14.392 V

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b)

Workdone= qV= -12.5*10^-9*14.392= 1.8*10^-7 J

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Commemt in case any doubt.. good luck

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