In the rectangle in the drawing, a charge is to be placed at the empty corner to
ID: 2133540 • Letter: I
Question
In the rectangle in the drawing, a charge is to be placed at the empty corner to make the net force on the charge at corner A point along the vertical direction. What charge (magnitude and algebraic sign) must be placed at the empty corner?
Number & Units please?
In the rectangle in the drawing, a charge is to be placed at the empty corner to make the net force on the charge at corner A point along the vertical direction. What charge (magnitude and algebraic sign) must be placed at the empty corner? Number & Units please?Explanation / Answer
Let the charges from A in the counter clockwise direction beq1,q2,q3 and q4
the force acting between charges q1 andq2 is
F1= k *(q1q2/16d2)
k = (1/4??o) = 9 * 109Nm2/C2,q1 = q2 =q4 = 3 ?C = 3 * 10-6 C
the force acting between charges q1 andq3 is
F2= k *(q1q3/17d2)
the force acting between charges q1 andq4 is
F3= k* (q1q4/d2)
the net force on the charge at corner A point along thevertical direction then
F1 + F2 = F3
or k * (q1q2/16d2) + k *(q1q3/17d2) = k* (q1q4/d2)
or (q2/16) + (q3/17) =q4
solving the above equation for q3 we get
q3 = -3.3 ?C
the magnitude of the charge at the empty corner is 3.3?C and the sign of the charge is negative