The point charges in the figure below have the following values: q1 = +2.7

The point charges in the figure below have the following values: q₁ = +2.7

Solutions

Expert Solution

the magnitude of the force on each of two point charges
(when there are only two) is k Q1 Q2 / r^2, where k = 9*10^9

If the magnitude of the force exerted on q2 in this problem is 0.63 N,
and if I put q1 at the origin of the coordinate system, then
(k q1 q2 / d^2) (i/2 + j sqrt(3)/2) + (k q2 q3/d^2) (-i/2 + j sqrt(3)/2)
= some force vector whose magnitude turns out to be 0.63 N. So,
(k q2 / 2 d^2) [ (q1-q3) i + (q1+q3) j sqrt(3) ] has a magnitude of 0.63 N.
d^2 = ( k q2 / 1.26 N ) | 3.58 uC i + 1.81 sqrt(3) uC j |
= (k q2 / 1.26 N) [ 4.75* 10^(-6) C ]
= 9*10^9* 6.3*10^-6* 4.75*10^-6 m^2
= 0.269325
d = sqrt(0.269325) meters = 0.518965 m = 0.52 m

The direction of the net force is easier, we don't
care about k or d or the magnitude of q2 (though its sign matters).
The direction of (q1-q3)i + (q1+q3)j is
the direction is arctan ((1.81 sqrt(3))/3.58) = 0.719 rad = 41.19 degrees
(measured counterclockwise from the axis q1 q3).

genius_generous answered 8 months ago

Next > < Previous

Related Solutions

Three point charges lie along a straight line as shown in the figure below, where q1...

Three point charges lie along a straight line as shown in the figure below, where q1 = 5.58 µC, q2 = 1.54 µC, and q3 = -1.88 µC. The separation distances are d1 = 3.00 cm and d2 = 2.00 cm. Calculate the magnitude and direction of the net electric force on each of the charges. Three charges lie along a horizontal line. Positive charge q1 is on the left. Positive charge q2 is a distance d1 to the right...

Three point charges lie along a straight line as shown in the figure below, where q1...

Three point charges lie along a straight line as shown in the figure below, where q1 = 6.12 µC, q2 = 1.57 µC, and q3 = -2.08 µC. The separation distances are d1 = 3.00 cm and d2 = 2.00 cm. Calculate the magnitude and direction of the net electric force on each of the charges. (a) q1? (b) q2? (c) q3?

Three point charges lie along a straight line as shown in the figure below, where q1...

Three point charges lie along a straight line as shown in the figure below, where q1 = 6.48 µC, q2 = 1.42 µC, and q3 = -2.08 µC. The separation distances are d1 = 3.00 cm and d2 = 2.00 cm. Calculate the magnitude and direction of the net electric force on each of the charges. Three charges lie along a horizontal line. Positive charge q1 is on the left. Positive charge q2 is a distance d1 to the right...

Four point charges have the same magnitude of 2.7 × 10-12 C and are fixed to...

Four point charges have the same magnitude of 2.7 × 10-12 C and are fixed to the corners of a square that is 7.0 cm on a side. Three of the charges are positive and one is negative. Determine the magnitude of the net electric field that exists at the center of the square.

In the figure, the particles have charges q1 = -q2 = 390 nC and q3 =...

In the figure, the particles have charges q1 = -q2 = 390 nC and q3 = -q4 = 95 nC, and distance a = 5.0 cm. What are the (a) x and (b) y components of the net electrostatic force on particle 3?

In the diagram below, there are three collinear point charges q1, q2 and q3

In the diagram below, there are three collinear point charges q1, q2 and q3. The distance between q1 and q2 is the same as that between q2 and q3. You will be asked to rank the Coulomb force on q1 due to q2 and q3.Part A Rank the six combinations of electric charges on the basis of the electric force acting on q1. Define forces pointing to the right as positive and forces pointing to the left as negative. Rank in increasing order...

Two point charges are placed on the x axis. (Figure 1)The first charge, q1 = 8.00...

Two point charges are placed on the x axis. (Figure 1)The first charge, q1 = 8.00 nC , is placed a distance 16.0 m from the origin along the positive x axis; the second charge, q2 = 6.00 nC , is placed a distance 9.00 m from the origin along the negative x axis. An unknown additional charge q3 is now placed at point B, located at coordinates (0 m, 15.0 m ). Find the magnitude and sign of q3...

Three point charges are arranged as shown in the figure below. Find the magnitude and direction...

Three point charges are arranged as shown in the figure below. Find the magnitude and direction of the electric force on the particle q = 5.08 nC at the origin. (Let r12 = 0.290 m.) FIND: magnitude N direction ° counterclockwise from the +x axis Three point charges lie along the axes in the x y coordinate plane. Positive charge q is at the origin. A charge of 6.00 nC is at (r1 2, 0), where r1 2 > 0....

Two point charges are placed on the x axis.(Figure 1) The first charge, Q1 = 9.0 nC

Two point charges are placed on the x axis.(Figure 1) The first charge, Q1 = 9.0 nC , is placed a distance x1 = 13 m from the origin along the positive x axis; the second charge. Q2 = 2.5 nC, is placed a distance x2 = 7.0 m from the origin along the negative x axis. Part A Find the net electric field created by the two charges at the origin, point O.

Each part of (Figure 1) shows one or more point charges. The charges have equal magnitudes.

Each part of (Figure 1) shows one or more point charges. The charges have equal magnitudes. A) For case (a), if a positive charge is moved from position i to position f, does the electric potential energy increase, decrease, or stay the same? For case (a), if a positive charge is moved from position to position, does the electric potential energy increase, decrease, or stay the same? Electric potential energy increases. Electric potential energy decreases. Electric potential...

Subjects