1. Two point charges are located on the x-axis, q1 = -e at x = 0 and q2= te at X a.(a.) Find the work that must be done by an external force to bring point charge q3 = +e2a. [Hint: The work W equals the difference between (i) the potential2a and (ii) the potential energy when it is%3Dfrom infinity to x =energy U associated with q3 when it is at x = infinitely far away. The second of these is zero, so the work required is equal to U.](b.) Find the total potential energy of the system of three charges.91 = -e92 = +e93 == te%3DX =0X= aX= 20Fig. 7. A sketch of the situation after the third charge has beenbrought in from infinity.Solution:2. A proton (charge +e = 1.602 x 10-19 C) moves a distance d = 0.50 m in a straight linebetween points a and b in a linear accelerator. The electric field is uniform along this line,with magnitude E1.5 x 107-= 1.5 x 107 in the direction from a to b. Determine:%3Dm(a.) the force on the proton;Solution:(b.) the work done on it by the field;Solution:

Potential energy at a point is given as U=kq1q2r…

1. Two point charges are located on the x-axis, q, = -e at x = 0 and q2 = +e at x = a. (a.) Find the work that must be done by an external force to bring point charge q3 = +e from infinity to x = 2a. [Hint: The work W equals the difference between (i) the potential energy U associated with q3 when it is at x = 2a and (ii) the potential energy when it is

1. Two point charges are located on the x-axis, q, = -e at x = 0 and q2 = +e at x = a. (a.) Find the work that must be done by an external force to bring point charge q3 = +e from infinity to x = 2a. [Hint: The work W equals the difference between (i) the potential energy U associated with q3 when it is at x = 2a and (ii) the potential energy when it is

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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2) Three charges are arranged in the pattern shown. They have equal magnitudes of 1nC but have the signs shown. Three locations, labeled X, Y, and Z, are highlighted. ΟΥ 3 m ox 1 + -4.5E-9 J -3.4E-9 J 0 2 OZ 4 m 4 m i. The electric potential energy stored by this arrangement of charges (using the standard reference point) is A. B. C. D. 1.1E-18 J E. 5.6E-9 J ii. The electric potential at point Y (using the standard reference point) is A. 0.60 V 3 + B. 1.8 V C. 3.0 V D. 6.6 V E. 9.0 V iii. The electric potential at point X (using the standard reference point) is A. 0.15 V B. 2.2 V C. 3.0 V D. 6.6 V E. 9.0 V
Three point charges q1 = +2.7µC, q2 = −3.4µC and q3 = −1.6µC initially are infinitely far apart. They are then brought together and placed at the corners of an equilateral triangle. Each side has a length of 40 cm. Determine the total electric potential energy of these group of charges The final answer should be Example: 0.06N or 6.0x10^-2 N must be expressed to 60x10^-3 N or 60mN
2. Three point-like charges are placed at the corners of a rectangle as shown in the figure, a = 28.0 cm and b What is the electric potential energy of the charge 92? 91 = -32.0 μC, 92 = –22.0 μC, 93 = J ssfoss sf60 ssf60 ssf60 ssf60 ssf60 92 soojas de ojas (jss Brojs8 09J800955198 09 +45.0 μC. ssf60 s** ssfóssissf60) 2160 48.0 cm. 0 s60 ssf60 ssf60 ssf60 ssf60 ssf60 s ssf60 ssf60 ssf60 ssf60 f60 ssf
An ion, starting from rest, accelerates from point A to point B due to a potential difference between the two points. Does the electric potential energy of the ion at point B depend on (a) the magnitude of its charge and (b) its mass? Does the speed of the ion at B depend on (c) the magnitude of its charge and (d) its mass?
8. Two point charges, q1=q2=13nC, are located on the x-axis and is 8 meters apart. Assuming that q1 is located at the origin: a. Find the work that must be done by an external force to bring a third point charge q3 =-13nC from infinity to x=11m. b. Find the total potential energy of the system of three charges.
Ch 19, problem 16 The drawing shows a square, each side of which has a length of L = 0.250 m. Two different positive charges q1 and q2 are fixed at the corners of the square. Find the electric potential energy of a third charge q3 = -7.00 x 10-9 C placed at corner A and then at corner B.
Determine the initial electric potential energy of the system consisting of all four charges with q4 at infinity.
1) A point particle of charge 2.5 nC and mass 3.25x10-3 kg is in a uniform electric field directed to the right. It is released from rest and moves to the right. After it has traveled 12.0 cm, its speed is 25 m/s. Find the (a) work done on the particle, (b) change in the electric potential energy of the particleand (c) magnitude of the electric field.
The drawing shows a square, each side of which has a length of L= 0.250 m. Two different positive charges q1 and q2 are fixed at the corners of the square. Find the electric potential energy of a third charge q3 = -6.00 x 10°C placed at corner A and %3D then at corner B. 41 = +1.50 x 10c 92= +4.00 x 10 c