m, q m, q d a) Using a net force diagram, explain why the magnitude of the electrostatic force acting on each ball must be: Fe = m[g]tan 0 b) Can we approximate tan 0 z sin 0 × 0 z7 in this situation (this is commonly referred to as the 2L small angle approximation)? If so, how much error does this cause if d =? 10 c) Using Coulomb's Law, your answer to part a), and your answer to part b), derive an equation for the charge on each ball (q) using the m, [g], d, L, and some constants. d) If L= 70 cm, d = 4.0 cm, and m = 0.4 g, calculate q using your answer to part c. %3D

m, q m, q d a) Using a net force diagram, explain why the magnitude of the electrostatic force acting on each ball must be: Fe = m[g]tan 0 b) Can we approximate tan 0 z sin 0 × 0 z7 in this situation (this is commonly referred to as the 2L small angle approximation)? If so, how much error does this cause if d =? 10 c) Using Coulomb's Law, your answer to part a), and your answer to part b), derive an equation for the charge on each ball (q) using the m, [g], d, L, and some constants. d) If L= 70 cm, d = 4.0 cm, and m = 0.4 g, calculate q using your answer to part c. %3D

Physics for Scientists and Engineers, Technology Update (No access codes included)

9th Edition

ISBN:9781305116399

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter23: Electric Fields

Section: Chapter Questions

Problem 23.1CQ: (a) Would life be different if the electron were positively charged and the proton were negatively...

See similar textbooks

Similar questions

(a) What is the direction of the total Coulomb force on q in Figure 18.46 if q is negative, qa= qcand both are negative, and qb= qcand both are positive? (b) What is the direction of the electric field at the center of the square in this situation?
A charge of 36.3 nC is transferred to a neutral copper ball of radius 4.35 cm. The ball is not grounded. The excess electrons spread uniformly on the surface of the ball. What is the number density (number of electrons per unit surface area) of excess electrons on the surface of the ball?
ing W Point charges q = -4.00 nC and +4.00 nC are separated by distance 3.80 mm, forming an electric dipole. # 3 D E SP D So $ 4 R *** F - 96 5 T G 6 B Y ▾ Y Part A Find the magnitude of the electric dipole moment. Express your answer in coulomb meters to three significant figures. ▸ View Available Hint(s) H 95] ΑΣΦ Submit Part B. What is the direction of the electric dipole moment? Ofrom ₁ to q O from ₂ to g Submit Part C ■V VD] ΑΣΦ MacBook Air Request Answer 1 → C The charges are in a uniform electric field whose direction makes an angle 36.1 with the line connecting the charges. What is the magnitude of this field if the torque exerted on the dipole has magnitude 7.70x10-9 N-m ? Express your answer in newtons per coulomb to three significant figures. View Available Hint(s) N U 8 M 1 K ? ( 9 ? 22 C-m O O into a power outlet. P ? return
Determine the ratio of the gravitational force to electrical force between an electron and a proton when separated by a distance r. Please include detailed solution. I will attach the reference formulas that we use. The value of k is 8.99 x 10^9, not rounded off to 9. Thank you!
Kindly answer the follow up questions pls. The electric charge (in Coulombs, C) in a spherical surface leak at a rate proportional to the amount present. The initial charge is 7C and 2/5 of it leaks off in 15 minutes. C. After how many hours will the surface lose 80% of its original charge? • 0.788 • 0.609 • 0.109 • 0.473 D. What is the charge at the surface after 20 minutes? • 4.94 C • 3.54 C • 3.46 C • 2.06 C E. Which of the following represents the portion of the charge that remains in the spherical surface? •exp(-0.061086048791) •exp(-0.034055041581) •1 - exp(-0.061086048791) •1 - exp(-0.034055041581) F. What is the percent charge at the surface after 1 hour? • 2.56 % • 12.96 % • 97.44 % • 87.04 %
The two charges are separated by a distance of 2a and point P is at a distance from the midpoint between the two charges (Figure 1), Q > 0. Figure +Q a a x < 1 of 1 P Determine the magnitude of the electric field at the point P. Express your answer in terms of Coulomb's constant k, and the variables Q, x, and a. E = Submit Part B VE ΑΣΦ Request Answer Determine the direction of the electric field at the point P. to the right upward downward ? to the left
hanes cl What happens when you put a Name= In each case, determine the direction of the force on a positive charge when entering a uniform B-field. Charge B-field the forces 3. B The YOL B 3 5 B B 7 B B B 10 B B 12 %3D B
Suppose you have a dipole that’s free to move in any way, including rotate. And there’s an object with charge Q a distance raway. That distance r would be much larger than d, the distance of the dipole. A. Would the dipole end up attracted to the charge, repelled, or neither? B. Would the chargeQbe attracted, repelled, or neither to thedipole? C. Does the answer to parts A and B depend on the sign of Q?
The geometrical parameters of a water molecule are showed in the figure. 96 pm 104.5° H H. Vz Z, Hint: Read the dipole note, pay attention at the direction of the axis here. The vector dipole moment p is O None of these 26.2 x 10-30 C.m @1.49 x 10-30 C.m f6.2 x 10-30 C.m -21.49 x 10-30 C.m
electrons radius r Two protons (p) and two (e) are arranged on a circle of 5 [cm], with angles 0₁ = 20°, 0₂ = 60°, 03 = 20° and 04 = 60°, as shown in the figure. (qp = +1.6 x 10-19 [C] and qe = -1.6 × 10-19 [C]). The figure is not to scale. 04 y a. Find Enet, the net electric field vector produced at the center of the circle. Enet = ([ ])i + ( ]) Ĵ [N/C] b. Where on the circle should a fifth point charge qo be placed (give its angle relative the +x-axis) and what is its value (calculate qo) in order to have Ēnet (the net electric field at the center of the circle) equals zero (Type the detailed solution to this question in the below box, Show all your calculation steps by typing in the box). P X
Q2 : Find the electrical field intensity at point P( 2,3,4) caused by three charges : Q1 = 2 nC at point (1,2,0), Q2 = -3 nC at point (2,1,-1) and Q3 = 7 nC at point (3,-2,1).
For the next arrangement of charges, find the total electric field at a point located at P (0.30, -0.10) m. b) How much will be the electric force on a -7.5 nC charge located in point P?