Three charged particles are at the corners of an equilateral triangle as shown in the figure below. (Let q = 2.00 μc, and L =7.00 με60.0°L0.650 m.)q-4.00 μCx(a) Calculate the electric field at the position of charge q due to the 7.00-μC and -4.00-μC charges.-10636.7Once you calculate the magnitude of the field contribution from each charge you need to add these as vectors. KN/CI + 128963Think carefully about the direction of the field due to the 7.00-μC charge. KN/C ĵ(b) Use your answer to part (a) to determine the force on charge q.-21.3If you know the electric field at a particular point, how do you find the force that acts on a charge at that point? mN I + 257.9Check units carefully. Note that the field in part (a) is given in KN/J and the force in this part is given in mN. mN ĵ×

FINAL ANSWER: (a). Electric field at the position of charge q due to 7Myu _c and -4myu_c is…

Answered: Three charged particles are at the…

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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Three charged particles are at the corners of an equilateral triangle as shown in the figure below. (Let q 7.00 με 60.0° L = 2.00 μc, and L = 0.650 m.) q -4.00 μC x (a) Calculate the electric field at the position of charge q due to the 7.00-μC and -4.00-μC charges. KN/CI + KN/C ĵ (b) Use your answer to part (a) to determine the force on charge q. mNI + mN ĵ
The two charges in the figure below are separated by d = 2.50 cm. (Let 91 = -19 nC and 92 = 26.0 nc.) d d 60.0° B d 42 (a) Find the electric potential at point A. kV (b) Find the electric potential at point B, which is halfway between the charges. kv
Three point charges are aligned along the x axis as shown in the figure below. -0.500 m -0.800 m- x -4.00 nC 5.00 nC 3.00 nC Find the electric field at the following positions. (a) (2.30, 0) E = || × N/C (b) (0, 2.30) E = × N/C
Q3: a circular arc has three point charges as shown in figure below. (a) Find the total electric field at P (the center of the arc)? (b) What is the electric force that would be exerted on a (- 5 nC) point charge placed at P. +3.00 nC 4.00 cm -2.00 nC 30.0° 30.0° 4.00сm +3.00 nC
RC-2 A half ring of charge lies in the x-z plane with its center at the origin as shown to the right. There are λ coulombs per meter of charge evenly distributed along the ring, which has radius 'a'. a) Sketch on your paper figures like the figures shown to the right. On your figures show an arrow representing the electric field at the point P that is produced by source charge element dq. b) Use Coulomb's law to calculate the magnitude of the x, y and z components of the total electric field at P due to the half ring of charge. If any component is equal to zero, you may use the symmetry argument to explain why it is zero instead of doing the calculations. 3D view: ZI (C/m) X dq b View looking from point P toward the origin: Z dq 0
Given the two charged particles shown in the figure below, find the electric field at the origin. (Let q₁ = -30.00 nC and 92= 7.00 nC. Express your answer in vector form.) 88521.16i + 62510.84j N/C -4 92 -2 X y (cm) 91 4 x (cm)
In the figure below, a long circular pipe with outside radius R = 2.38 cm carries a (uniformly distributed) current i- 9.86 mA into the page. A wire runs parallel to the pipe at a distance of 3.00R from center to center. Find the (a) magnitude and (b) direction (into or out of the page) of the current in the wire such that the ratio of the magnitude of the net magnetic field at point P to the magnitude of the net magnetic field at the center of the pipe is 2.48, but it has the opposite direction. (a) Number Units (b) Wire O O Pipe
A wire of charge Q1 is bended into the shape of a semicircular wire of radius R, and located in a two dimensional xy-coordinate system as shown in the figure. A point charge of Q2 is located at (0, R/4.3) in this coordinate system. What is Q2/Q1 if the electric potential at point O is zero? Provide your answer with two decimal place. Q1 R
y P. 2R R. The center of the charged circle of radius R = 50cm in the x-z plane is coincident with the origin of the coordinate system in the figure. The total charge Q on the circle is not uniform, but is distributed according to the relation 1 = v50. Where 0 is the angle between the radius R of the circle and the +x-axis in radian. Find the magnitude of the Electric field due to these charges in the y-axis direction only, at the point P at a distance of 2R. ke 1 Eo = 9x10-12 () and n = 3 4περ Nm² 10 13 a) 15 1013 b) 10 13 1013 d) 105 ) e) 1013 45 75 135
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A point charge q1 = -2.1 μC is located at the origin of a co-ordinate system. Another point charge q2 = 6.8 μC is located along the x-axis at a distance x2 = 7 cm from q1. 1) What is F12,x, the value of the x-component of the force that q1 exerts on q2? N 2) Charge q2 is now displaced a distance y2 = 3 cm in the positive y-direction. What is the new value for the x-component of the force that q1 exerts on q2? N 3) A third point charge q3 is now positioned halfway between q1 and q2. The net force on q2 now has a magnitude of F2,net = 7.4 N and points away from q1 and q3. What is the value (sign and magnitude) of the charge q3? μC
Review Coulomb's Law in your text. Suppose a small ball has charge -3.8 PC is located at the origin, and a second small ball has charge 8.0 PC is located along the x-axis at +7.5 cm. if you need more help, try this (a) What is the x-component of the force on the ball at the origin? Be sure to use the correct sign to represent the direction of the component,+ for "to the right",- for "to the left". 48 64 N (b) What is the x-component of the force on the ball located at 7.5 cm? 4864N (c) Suppose that the second ball at 7.5 cm has charge -8 PC. In this case, what is the x-component of the force on the ball at the origin? (d) The ball is small if its diameter is much less than the separation of the two balls. In this case a ball with diameter 1 mm would be considered small. Such a ball made of ordinary materials would have a mass of no more than 0.01 g. What would the magnitude of the gravitational force of the earth be on such a ball? (Compare the electric and gravitational forces and you…

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