Question

#1 The three charges are at the three vertices of a right triangle as shown in the figure below.

q 1 = + 3.0 µC q 2 = - 3 .0 µC q 3 = - 2 .0 µC 1 µC = 10-6

Right Triangle: q1 to q2 = 5.0m/ q1 to q3 = 3.0m / q2 to q3 = 4.0m

Formulas: K = 9.0 X 10 9 N m2/ C2 Fx = F cos θ Fy = F sin θ

a) Calculate the force acting on on q 3 by q 1. Name this force F1 .

b) Calculate the force acting on q 3 by q 2 . Name this force F2.

c) Draw the force acting on q 3 by q 1 and q 2 on the figure .

b) Find the components of force F1 on X and Y-axes.

d) Find the components of force F2 on X and Y-axes.

e) Find the net force in X-direction. Fnet X =

f) Find the net force in Y-direction Fnet Y =

g) Use Pythagorean Theorem to find the resultant force acting on q 3.

h) Use tangent to find the direction (angle) the resultant makes with horizontal.

#2 Show formulas, calculations , and direction for the following questions.

a. What is the strength of an electric field that will balance the weight of a proton?

b. What is the direction of an electric field that will balance the weight of a proton?

c. What is the strength of an electric field that will balance the weight of an electron?

d. What is the direction of an electric field that will balance the weight of an electron?

Answer #1

Three point charges are located at the corners of an equilateral
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P is the midpoint on the base of the triangle and q1 is directly
above it. (k = 9 x 109N ∙ m2/C2) [12 marks]
a) Calculate the electric field at P due to q1(7μC). [2
marks]
b) Calculate the electric field at P due to q2(2μC). [2
marks]
c) Calculate the electric field at P due...

Three charges are at the corners of an equilateral triangle, as
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μC, q2 = 4.50 μC, and q3 = −3.00 μC.
magnitude =? (N/C)
direction = ? (below the x-axis)

GOAL Use the superposition principle to calculate the electric
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figure.
The resultant electric field at P equals the
vector sum 1 + 2, where 1 is the
field due to the positive charge q1and
2 is the field due to the negative charge
q2.Two point charges lie along the
x-axis in the x y-coordinate plane.
Positive charge q1 is at the origin, and
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Three point charges are arranged as shown in the figure to the
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and charge q3 = -5.0 nC and is located at x = +2 m, y = +3.0 m.
(a) What is the net force (magnitude and direction) acting on
charge q3?
(b) What is the...

Three charged particles are located at the corners of an
equilateral triangle as shown in the figure below (let q =
2.80 µC, and L = 0.790 m). Calculate the total electric
force on the 7.00-µC charge.
magnitude
N
direction
° (counterclockwise from the
+x axis)
Three charged particles lie in the x y
coordinate plane at the vertices of an equilateral triangle with
side length L.
Positive charge q is at the origin.
A charge of 7.00 µC is...

Three charged particles are placed at each of three corners of
an equilateral triangle whose sides are of length 3.4 cm . Two of
the particles have a negative charge: q1 = -7.8 nC and q2 = -15.6
nC . The remaining particle has a positive charge, q3 = 8.0 nC .
What is the net electric force acting on particle 3 due to particle
1 and particle 2?
1) Find the net force acting on particle 3 due to...

Three charged particles are placed at each of three corners of
an equilateral triangle whose sides are of length 2.0 cm . Two of
the particles have a negative charge: q1= -6.1 nC and q2 = -12.2 nC
. The remaining particle has a positive charge, q3 = 8.0 nC. What
is the net electric force acting on particle 3 due to particle 1
and particle 2?
Find the net force ΣF⃗ 3 acting on particle 3 due to the...

Three charges are at the corners of an equilateral triangle, as
shown in the figure below. Calculate the electric field at a point
midway between the two charges on the x-axis. (Let
q1 = 2.00 μC,
q2 = 2.00
μC, and
q3 = −3.50 μC.)
Image:
Three charged particles lie in the x
y-coordinate plane at the vertices of an equilateral
triangle with side length 0.500 m.
Positive charge q2 is at the origin.
Positive charge q1 is in the first...

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F1+F2+F3=Fnet becomes
F1+F2+F3=0 since a stationary
object has no net force acting on it. This equation is true for the
cartesian components as well:
F1x+F2x+F3x=0
F1y+F2y+F3y=0
For each of the three problems below, calculate the force F3
that balances the table with the given F1 and...

Three point charges lie in the x-y plane as shown in the diagram
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1.41 m and y = 2.41 m. A force diagram showing the forces acting on
q1 and a coordinate system are given in the diagram. Calculate the
y-component of the net electrostatic force...

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