Shown in the figure below is a collection of two charges labeled as q, and q2. Also labeled is the "Point P", which is where we will do our calculations. To understand the notation, please note thefollowing:not to scaley9₁(0, V₂)Item Charge (C)PP (0, y₂)The vector Emeans the electric field at P due only to grThe vector Emeans the electric field at P due only to qThe vector Er means the total electric field at P due to all charges(x,y) m(0.00,5.62)Noneq1-7.41e-06 (0.00, -1.56)q2 4.28e-06 (2.56, 2.94)9₂ (x₂, V₂)Determine the distance from q; to P: r₁=Determine the distance from q₂ to P: r₂-

Given, yp = 5.62 my1 = -1.56 mx2 = 2.56 my2 = 2.94 mq1 = -7.41×10-6 Cq2 = 4.28×10-6 C We know that…

Answered: Determine the distance from Q₁ to P:…

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Physics

Determine the distance from Q₁ to P: r;= Determine the distance from q₂ to P: 1₂-

University Physics Volume 2

18th Edition

ISBN:9781938168161

Author:OpenStax

Publisher:OpenStax

Chapter5: Electric Charges And Fields

Section: Chapter Questions

Problem 101P: In this exercise, you practice electric field lines. Make sure you represent both the magnitude and...

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Shown in the figure below is a collection of two charges labeled as q1 and q2. Also labeled is the "Point P", which is where we will do our calculations. To understand the notation, please note the following: The vector E1 means the electric field at P due only to q1. The vector E2 means the electric field at P due only to q2. The vector Etot means the total electric field at P due to all charges. Item Charge (C) (x,y) m P None ( 0.00 , 6.46 ) q1 -8.45e-06 ( 0.00 , -1.26 ) q2 4.21e-06 ( 2.89 , 1.87 ) Determine the distance from q1 to P: r1 = Determine the distance from q2 to P: r2 = Determine the magnitude of E1. | E1 | = Determine the magnitude of E2. | E2 | = Fill in the following table with all the appropriate components: Item x-component (N/C) y-component (N/C) E1 E2 Etot
(a) Linearize the graph. If necessary, compute different powers of variables and plot until you get a straight line. (b) Determine the equation of the line obtained. Indicate the value of n, k, and other constants or intercepts present in the graph. a.) The data below shows how the electric field (E) due to a point charge varies with distance (r). Distance, r (m) Electric Field, È (N/C) 102 25 1.25 2.50 3.75 | 5.00 | 6.25 7.50 8.75 15 9 3 10 11.25 1.15 1.08 1.005 0.6 0:.) The following values represent a particle with an x-coordinate that varies in time. Time, t (s) Distance, x (m) 3 65 1 4 5 6 7 200 195 160 -120 -425 -880 | -1515
Express answer/s in mks (SI) . Draw diagram whenever necessary Three identical point charges , each 10 mC , are placed at the vertices of an equilateral triangle such thattwo of these charges are located at the coordinate origin and at (10 cm, 0 cm) and the other chargeis located at point P whose coordinates are both positive. Determine the net force on charge placed atpoint P.
In the following problems, you don't need to understand the physics to complete the questions. Focus on the equations. (a) The force of gravity, F, between two masses, m and M, separated by a distance r, is given by where G is a constant. Write an equation of r in terms of other variables in the equation GmM F= 2 for F: r= (b) The electric force between two charges q=3·10¯6 units and Q=-4·10¯6 units separated by a distance, 1 d = 3-10-4 units, is given by F= where k=9. 10⁹ units. Without using a calculator, calculate the F. F= kq x² (c) Two positive electric charges, q and Q are separated by a distance d. Assume that q> Q> 0. The position x from charge q where the electric field zero is given by: = kQ (d-x)² kqQ d² Solve for x in terms of the other variables. The quantity k is a constant. Solution 1 represents the largest value of x. Hint: The solution can be simplified in many ways. The solutions accepted below have a form d Solution 1 = a-b Solution 2 = d a+b√√ You need to figure out…
guidelines: Answers must be expressed in engineering notation (when the exponent of the base 10 multiplier is not a multiple of 3, press ENG or SHIFT+ENG, whichever the case.) Example: 0.06N or 6.0x102 N must be expressed to 60x103 N or 60mN A spherical conductor is known to have a radius and a total charge of 10 cm and 20uC. If points A and Bare 15 cm and 5 cm from the center of the conductor, respectively. If a test charge, q = 25mC, is to be moved from A to B, determine the following: a. The potential at A; b. The electric potential energy at B; c. The work done in moving the test charge; d. The rate of change of the potential with respectto length ordisplacement in the conductor
The values of four electric charges and their positions are listed in the table below. Compute the electric field created by the four charges at the origin (x=0, y=0) and express it in unit vector notation (a magnitude followed by a unit vector). Draw a diagram showing the charges, their electric field vectors, and the resultant electric field at the origin. Clearly present the Boy fundamental equations underlying your calculations. anbau yGA-I maidor y position, m 0.005 bonba zuibe to anal xevnos-onslą 619bleno) Sail-0.005 ormont A \I to sontalb anal orld to 93st tali afr 0.005 muerol srit dauordt verontest 2.121 ansi ant to -0.005 ant bns 29igns inovalo viboga-vitsjitsup noita9219ti lo trioq charge, C x position, m +2.00E-09 0.005 0.005 -0.005 -0.005 noita-2.00E-09 arb +2.00E-09 -2.00E-09
Consider a thin plastic rod bent into an arc of radius Rand angle a (see figure below). The rod carries a uniformly distributed negative charge Q -Q A IR What are the components and E, of the electric field at the origin? Follow the standard four steps. (a) Use a diagram to explain how you will cut up the charged rod, and draw the AE contributed by a representative piece. (b) Express algebraically the contribution each piece makes to the and y components of the electric field. Be sure to show your integration variable and its origin on your drawing. (Use the following as necessary: Q, R, cx, 0, A0, and EQ-) ΔΕ, = - TE aR² AB=(2 Lower limit= 0 ✓ e aR² Upper limit= a X cos(0)40 x (c) Write the summation as an integral, and simplify the integral as much as possible. State explicitly the range of your integration variable. sin (0)40 x Evaluate the integral. (Use the following as necessary: Q, R, a, and E.) Edit
Two charges, Q1 and Q2 are placed along the horizontal line, as shown in the picture below. The Q1 Q2 charges are separated by distance a=4.4 cm and the ratio of the charges, =5. а Q1 Q2, Where along the line connecting the two charges would the net electric field be equal to zero? Express your answer as distance from the charge Q1, in centimeters, with precision of two places after decimal.
Final answers should be in two decimal places only. Include proper substitution and cancellation of units. An electron is placed in a uniform electric field of (given E) directed north created by two horizontal parallel plates that are (given distance) apart. The electron accelerates from rest, starting at the negative plate. What is the net force and acceleration acting on the electron? How long did it take the electron to get from one side of the plate to the other? Given: Electri field (nN/C): 30 Distance (fm): 133
Final answers should be in two decimal places only. Include proper substitution and cancellation of units. Include illustrations. Two horizontal parallel plates are separated by a distance of (given d) creating an electric field of (given E) directed north. An electron is place halfway between the two plates with and fired with initial velocity (given v) from the horizontal. Calculate the time it takes for the electron to land at the positive plate and its speed before hitting the plate. Given: Distance (mm): 170 Electric Field (µN/C): 27 Velocity (m/s): 62
The figure shows a small positive charge some distance away from a larger positive charge. The smaller charge is currently a distance r₁ away from the center of the larger charge. The radius r₁ is twice as far away from the larger charge as 12. Answer the three questions below using three sig figs. S r.
Three point charges are arranged in a horizontal line as shown below. Find the electric forces (in units of kQ²/R²) on the charges given the following: Q1 18 Q, Q2 = 25 Q, Q3 = -64 Q, r1 = 3 R, and r2 = 5 R. Remember that a positive force points to the right and a negative force points to the left. Q, Q2 Qs r, What is the force on charge Q1 due to Q2? -50.0 kQ²/R² Computer's answer now shown above. Incorrect. Tries 2/2 Previous Tries What is the force on charge Q1 due to Q3? 18.0 kQ?/R2 Computer's answer now shown above. You are correct. Your receipt no. is 159-5374 ? Previous Tries What is the force on charge Q2 due to Q3? 64.0 kQ²/R² Computer's answer now shown above. You are correct. Your receipt no. is 159-6218 ? Previous Tries What is the force on charge Q2 due to Q1? 50.0 kQ²/R² Computer's answer now shown above. Incorrect. Tries 2/2 Previous Tries What is the force on charge Q3 due to Q1? -18.0 kQ²/R² Computer's answer now shown above. You are correct. Your receipt no. is…