INSTRUCTIONS: Show your complete solution to each problem on a short bond paper. 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 6.0x10-2 N must be expressed to 60x10-3 N or 60mN 2. Three point charges q; = +2.7µC, q2 = -3.4µC and q3 = -1.6µC initialy 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.

INSTRUCTIONS: Show your complete solution to each problem on a short bond paper. 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 6.0x10-2 N must be expressed to 60x10-3 N or 60mN 2. Three point charges q; = +2.7µC, q2 = -3.4µC and q3 = -1.6µC initialy 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.

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...

See similar textbooks

Similar questions

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…
Charge Q1 = -12.0 nC is placed at (x,y) = (8, 0) millimeters and charge Q2 = 5.6 nC is placed at (2, 9) millimeters on the coordinate system shown. Charge Q0 = -2.83 nC is at the origin. Determine the magnitude of force on Q0. Express your answer in nN (nanoNewtons).
The force between two charges is given by the formula ? = 2000 ? 2 , where F is the force in Newtons and r is the distance between the charges in metres. Determine the rate of change of the Force, ?? ?? , when r = 10 m. [Include proper units with your answer.]
In figure 1, four charges are distributed as indicated. Calculate to the one decimal fraction the resultant force experience by Qo due to other charges. Q2 = 3nc Q = 3nc 5mm Smm 300 300 Q= -6nc 5mm Q3 = 3 µc Figure1
Electrostatic measurements are made using the metric system, and a guide to the (one-letter) prefixes is given in the chart. Write out the reading in the units given, then convert to base units (Volts, Amperes, Ohms, Coulombs). Ex: 5 mA = 10 kV = 10 mA 1 m2: 1 ΚΩ - 1 μC = giga- G mega- M kilo- Prefix Symbol Meaning exa- E peta- P tera- T k hecto- h deka da deci- d centi- c milli- m micro- 5 milli-Amperes 0.005 Amperes nano- n pico- p femto- f atto- a 1 MV 10 μΑ = 0.1 ΜΩ = 100 μΩ = 100 mC = The Prefixes Used with SI Units 1,000,000,000,000,000,000 1,000,000,000,000,000 1,000,000,000,000 1,000,000,000 1,000,000 1,000 100 10 1 0.1 0.01 0.001 0.000 001 0.000 000 001 0.000 000 000 001 Scientific Notation 1018 1015 10¹2 109 106 10³ 10² 10¹ 10⁰ 10-1 10-2 10-3 10-6 10-9 10-12 0.000 000 000 000 001 10-15 0.000 000 000 000 000 001 10-18
4mm Q, 3 mm Smm FIGURE 1.1 FIGURE 1.1 shows a system of three point charges. and Q3 ) Calculate the electre potentral energy for the ystem.
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.
Q₁ = -4c O 3 q + 6 meters (n = nano = 10⁹) 9 Q₂ = 30 9 X Calculate the force on charge q, where q = 7.4 nC.
dy) Aa A Find AaBbCcDc AaBbCcDc AaBbC AaBbCcD Sc Replace N Select ab x x A I Normal 1No Spac. Heading 1 Heading 2 Dictate Font Paragraph Styles Editing Voice Two point charges are placed on the x axis as shown in the figure. q1= +6.20 µC is placed at the origin and 92= -4.61 pc is placed at a distance d=20 cm from the origin. Find the position (in cm) of the point (ATatwhich the electric field vanishes (E=0).
Answer the following problem solving, write your answer will be in two decimal places. (Do not round off). Use scratch paper and calculator. 1. A positive charge q exerts a force of magnitude - 0.10 N on another charge - 2q. Find the magnitude of each charge if the distance separating them is equal to 30 cm. 2. A charge of 4.67 x 10-18 C is placed 4.5 x 10 -6 m away from another charge of - 4.79 x 10-19, what is the attraction between them? 3. A positive charge of 3.0C and negative -4.0C are separated by 60m. What is the force between the charges? 4. Two charges are both 5.0C push each other apart with a force of 15.3N. How far apart are the two charges? 5. A negative charge of -9.0x10-6C exerts an attractive force of 14 N on a first charge that is away of 0.060m. What is the magnitude of the first charge?
A small charge q=0.3 nC is placed distance 2.9 cm away from a stationary charge Q=7.4 nC. At that spot charge q experiences acceleration of magnitude 314 m/s². What is the mass of the charge q? Express your answer in kilograms, use scientific notation. On TH, the scientific notation follows a format x.yzEn where x.yz is the number expressed with a precision of three significant figures, E indicates the exponent and n is the power of the exponent.
Electric charge is distributed over the triangular region D shown below so that the charge density at (x, y) is o(x, y) = 2xy, measured in coulumbs per square meter (C/m2). Find the total charge on D. Round your answer to four decimal places. 5 4 - 3 2 1 1 2 3 4 5 coulumbs