Question

In: Physics

The three charges are at the three vertices of an equilateral triangle ?( all angles are 60degrees)...

The three charges are at the three vertices of an equilateral triangle ?( all angles are 60degrees)

q ₁= + 10.0 µC

q ₂ = - 5 .0 nC

q ₃= + 8 .0 nC

Equilateral side of the triangle = 0.05 m.

A. Draw forces acting on q ₁ by q ₂and q ₃

B. find the components on X and Y axes .

C. Use Pythagorean theorem to find the resultant .

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

q ₃ q ₁ q ₂

2-A proton is released from rest between two conducting plates. The distance between the two plates is 6.0 cm how fast will the electron be moving reaches to the second plate. The potential difference between the two plates is 10 KV.

= 1.60 × 10^-19C, m _proton= 1.67 × 10^-27kg)

Show formulas, substitution, and calculation with units.

-What are the currents in each resistor?

Voltage across the battery V = 12 volts

R₁= 1?, R₂= 2?, R₃= 3?, R₄= 4?, R₅= 5?, R₆= 6?,

4. In an RCseries circuit, V = 24.0 V, resistance R= 47 K?, and capacitance C= 2200 ?F.

Calculate the time constant.

Define time constant in a complete sentence.

C) How long does it take for the capacitor to reach to its 63% of its maximum charge?

d) How long does it take for the capacitor to reach to its 75% of it maximum charge?

e) How much charge can be stored in the capacitor after 50 seconds?

5. Find the electric potential of the following configuration at point P. The two short sides of the triangle are the same size = 23 cm.

Q₁ = - 5600 nC

Q₂ = - 2200 nC

Q₁ Q₂ p

F= K Q₁Q₂/ r²

E = K Q/ r²

V= K Q/ r

U or PE = Q V

KE = ½ m v²

R = R₁+ R₂+ ….

1/R = 1/R₁+ 1/R₂+….

F_Y F F_X

F_X= F Cos?

F_Y= F Sin?

F²= F_X ² + F_Y ²

Q = Q_m ( 1/ e- ^{t/ RC} )

Q = C V

Expert Solution

Given

q 1 = + 10.0 µC

q 2 = - 5 .0 nC

q 3 = + 8 .0 nC

Equilateral side of the triangle r = 0.05 m

F = kq1*q2/r^2

F13 = kq1*q3/r^2 = (9*10^9*10*10^-6*8*10^-6)/(0.05^2) = 288 N

F13x = F13 cos60 = 288 cos60 = 144 N

F13y = F13 sin 60 = 288 sin60 = 249.42 N

and F12 = kq1*q2/r^2

F12 = (9*10^9*10*10^-6*5*10^-6)/(0.05^2) N = 180 N

F12x = F12 cos0 = 180 N

F12y = F12 sin0 = 0N

the resultant is F = (144+180)i + 249.42 j = 324 N i + 249.42 N j

F = sqrt(324^2+249.42^2) N = 408.88 N

the direction is theta = arc tan ( 249.42/324) = 37.59 degrees

4.

RC circuit with

R = 47 k ohm , c = 2200*10^-6 F , V = 24.0 V

time constant is T = R*C = 47*10^3*2200*10^-6 s = 103.4 s

we know that the charging of a capacitor is

q(t) = Q (1-e^(-t/T))

the time taken to charge 63 % of charge is

q/Q = 0.63

0.63= (1-e^(-t/103.4)

t = 102.80 s

for 75 % of charge is

q/q = 0.75

0.75 = (1-e^(-t/103.4)

t = 143.34 s

c. q(t) = Q (1-e^(-t/T))

Q = C*V = 24*2200*10^-6 C = 0.0528 C

q(50) = 0.0528(1-e^(-50/103.4))

q(50) = 0.0202443088557 C

genius_generous answered 2 years ago

Three point charges, q, 2q, and 3q, are at the vertices of an equilateral triangle of...

Three point charges, q, 2q, and 3q, are at the vertices of an equilateral triangle of sides a. If q= 15.8 nC and a= 11.1 cm, what is the magnitude of the electric field at the geometric center of the triangle? Please explain in details, in particular the trig to set up the equilateral triangle. I am confused.

Three point charges are located at the corners of an equilateral triangle as in the figure...

Three point charges are located at the corners of an equilateral triangle as in the figure below. Find the magnitude and direction of the net electric force on the 1.70 µC charge. (A = 1.70 µC, B = 7.20 µC, and C = -4.30 µC.) Magnitude N Direction degree (Counterclockwise from the + X-axis)

3 charges, 8 µC each, are located on three vertices A, B, C of an equilateral triangle with sides 1 cm each.

9). 3 charges, 8 µC each, are located on three vertices A, B, C of an equilateral triangle with sides 1 cm each. Another charge q is located at the mid point D of the side BC. Calculate q in micro Coulomb so that net force on the charge at A due to the charges at B, C and D is zero. 10). In a right angle triangle ABC, angle ABC is 90 Degree, AB = 2 m, and...

Three point charges are located on the corners of an equilateral triangle 50cm side: The charge...

Three point charges are located on the corners of an equilateral triangle 50cm side: The charge q_1 = + 10µC is at the origin, The charge q_2 = + 9µC in the upper corner of the triangle, at charge q_3 = -6 µC located at the x axis What is the value of the potential energy of the system of the three charges?

Three point charges are located on the corners of an equilateral triangle 50cm side: The charge...

Three point charges are located on the corners of an equilateral triangle 50cm side: The charge q_1 = + 10µC is at the origin, The charge q_2 = + 9µC in the upper corner of the triangle, at charge q_3 = -6 µC located at the x axis. What is the total force (magnitude and direction) exerted on q_1

Consider three point charges at the corners of an equilateral triangle, its base sitting on the...

Consider three point charges at the corners of an equilateral triangle, its base sitting on the x-axis, with charge qA positioned at the origin, qB is at x=+3.50 cm, and qC is at the (top) third corner. qC = +2.60 μC, and the net electric force on qC is 375.0 N in the negative y direction. a. Explain briefly but clearly how you know that qA and qB must have the same magnitude charge and what the sign of that...

three charges are placed on the corners of an equilateral triangle with side lenght L. calculate...

three charges are placed on the corners of an equilateral triangle with side lenght L. calculate the force on the bootom right charge. Record your answer as a vector in i,j,k. your answer should be in term of k,L and Q

let triangle ABC be a triangle in which all three interior angles are acute and let...

let triangle ABC be a triangle in which all three interior angles are acute and let A'B'C' be the orthic triangle. a.) Prove that the altitudes of triangle ABC are the angle bisectors of triangle A'B'C'. b.) Prove the orthocenter of triangle ABC is the incenter of traingle A'B'C'. c.) Prove that A is the A' -excenter of triangle A'B'C'.

Two charges, + q and - q, occupy two corners of an equilateral triangle, as shown...

Two charges, + q and - q, occupy two corners of an equilateral triangle, as shown in FIGURE 19-51. (a) If q = 1.8 mC and r = 0.50 m, find the magnitude and direction of the electric field at point A, the other vertex of the triangle. Let the direction angle be measured counterclockwise from the positive x axis. (b) What is the total electric flux through the surface indicated in the figure? (c) Explain why Gauss’s law cannot...

Moment of inertia for equilateral triangle

Three rods each of mass m and length I are joined together to form an equilateral triangle as shown in figure. Find the moment of inertia of the system about an axis passing through its centre of mass and perpendicular to the plane of triangle.

Question

The three charges are at the three vertices of an equilateral triangle ?( all angles are 60degrees)...

Solutions

Expert Solution

Related Solutions

Three point charges, q, 2q, and 3q, are at the vertices of an equilateral triangle of...

Three point charges are located at the corners of an equilateral triangle as in the figure...

3 charges, 8 µC each, are located on three vertices A, B, C of an equilateral triangle with sides 1 cm each.

Three point charges are located on the corners of an equilateral triangle 50cm side: The charge...

Three point charges are located on the corners of an equilateral triangle 50cm side: The charge...

Consider three point charges at the corners of an equilateral triangle, its base sitting on the...

three charges are placed on the corners of an equilateral triangle with side lenght L. calculate...

let triangle ABC be a triangle in which all three interior angles are acute and let...

Two charges, + q and - q, occupy two corners of an equilateral triangle, as shown...

Moment of inertia for equilateral triangle