Given that each charge is +10nC and the side of the square is a = 0.1m. The diagram of the forces acting on the charge Q1 is shown below in the figure.
(a) The magnitude of force acting on Q1 due to Q2 is,
Since Q1 and Q2 are positive. the direction of this force is away from Q2 as shown in the figure.
The magnitude of force acting on Q1 due to Q3 is,
Since Q1 and Q3 are positive. the direction of this force is away from Q3 as shown in the figure.
The magnitude of force acting on Q1 due to Q4 is,
Since Q1 and Q4 are positive. the direction of this force is away from Q4 as shown in the figure.
The resultant of F12 ans F13 is given by,
The direction of this resultant clockwise from negative x-axis is
Since its a square, the angle = . That means F and F14 are in the same direction. Therefore, the magnitude of the total force on Q1 by the other three charges is,
So the magnitude of the total electrostatic force on Q1 due to other charges is 17.23 x 10^-5N.
(b) The orientation of this total electrostatic force clockwise from negative x-axis is . Therefore the orientation of this total electrostatic force anti-clockwise from positive x-axis is,
So the orientation of the total electrostatic force on Q1 due to other charges with respect to positive x-axis is .
Four positive charges, each of 10.0 nC occupy four corners of a square with sides of...
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io charges q, 2q,-4q, and-2q (q is positive) occupy the four corners of a square of sides 2L, centered at the origin of a coor- dinate system (Fig. 5-1). (a) What is the net force on charge q due to the other charges? (b) What is the force on a new charge Q placed at the origin? 5 24 -O, L)
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Four equal charges q1 are situated at the corners of a square. The sides of the square are length a. 1) What is the net force on a charge q2 placed at the center of the square? 2) What is the electric potential at the center of the square? 3) Suppose one of four q1's is removed. Now whatis the net force on q2?
Four point charges are located at the corners of a square. Each charge has magnitude 4.00 nC and the square has sides of length 2.70 cm. Find the magnitude of the electric field (in N/C) at the center of the square if all of the charges are positive and three of the charges are positive and one is negative. (a) all the charges are positive (b) three of the charges are positive and one is negative
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