ERSION BACK Chapter 18, Problem 25 In the rectangle in the drawing, a charge is

Question

ERSION BACK Chapter 18, Problem 25 In the rectangle in the drawing, a charge is to be placed at the empty cormer to make the net force on the sign) must be placed at the empty corner? placed at the empty corner to make the net force on the charge at corner A point aleng the vertical direction. What cherge (magnitude and aigetra 30 JC 30 pC Number Units the tolerance is +/-2% Question Attempts: 0 of 3 used SAVE FOR LATER SUBKIT ANSWER Copyright © 2y John wley & Sons,Inc. or related companies. All right, reserved. All Rights Reserved. A Division of 2amwley ASen.Inc

Explanation / Answer

Here ,

let the charge placed at the corner is q ,

Now, for the force on the charge A to be in vertical direction

force due to lower right charge + horizontal component of unknown charge = 0

k * 3.0 * 3/(4*d)^2 + k * q* 3/(d^2 + 16d^2) * cos(arctan(1/4)) = 0

3.0 * 3/(4)^2 + q* 3/(1 + 16) * cos(arctan(1/4)) = 0

solving for q

q = -3.29 uC

the charge at the empty corner should be -3.29 uC

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