Q1 [20 point]. In Figure 1, an insulating rod is bent into a semicircle of radius R. A charge -Q is uniformly distributed along its top half (for 0 < e < n/2) while a charge +Q is uniformly distributed along its bottom half (for -n/2 <8 < 0). Find the electrostatic force in unit vector notation, acting on an electron with charge-e which is located at the origin O.

Q1 [20 point]. In Figure 1, an insulating rod is bent into a semicircle of radius R. A charge -Q is uniformly distributed along its top half (for 0 < e < n/2) while a charge +Q is uniformly distributed along its bottom half (for -n/2 <8 < 0). Find the electrostatic force in unit vector notation, acting on an electron with charge-e which is located at the origin O.

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)...

See similar textbooks

Similar questions

Charges q1, 92 and q3 are arranged in the x-axis. Charge q3 = 14 nC and is at the origin. Charge q2 = -3.5 nC and is at x = 2 cm. Charge q1 is at x =2. Solve for q1 (magnitude and sign) if the net force on q3 is zero. Express your answer in nC.
Charges q1, 92 and 93 are arranged in the x-axis. Charge q3 = 14 nC and is at the origin. Charge q2 = 3.8 nC and is at x = 9 cm. Charge q1 is at x = 5 cm. Solve for q1 (magnitude and sign) if the net force on q3 is zero. Express your answer in nC.
A line of charge of length L = 42 cm with charge Q = 430.0 nAies along the positive Y axis whose one end is at the origin O. A point charge q = 310.0 µClies on point P = (41, 21.0)Here the coordinates are given in centi-meters. a) Find the Electric field at Pdue to the rod. x component of E Give your answer to at least three significance digits. N/C y component of E Give your answer to at least three significance digits. N/C b)Find the charge density of the rod? why is it in C/mbut not in C/m?? Charge density Give your answer to at least three significance digits. C/m
The charged particle q1has a charge of 6.05x10-6C and is located 8.56mm to the West of q2 which has a charge of -4.05x10-6C. a.Determine the net force acting on the positively chargedparticle, assuming the electrostatic force is the only force acting on it. b.Determine the locationto the East of the negative charge, where a proton could be placedand experience a net force of zero.
Using the symmetry of the arrangement, determine the direction of the force on negative charge q in the figure below, given that qa 9c = +6.60 µC and qb %3D %3D -6.60 µC. The charge q is located at the center of the square. N NW, „NE SW SE Use the compass rose to specify the direction. NE SE ŚW W NW Submit Answer Tries 0/99 Calculate the magnitude of the force on the charge q, given that the square is 10.8 cm on a side and q . -1.50 μC.
Three point charges are fixed as shown in (Figure 1). Take q₁ = 20 μC, q2 = -30 μC, 93 = 40 μC, and d = 9.0 mm. The point charge of 3.6 μC is placed at the center of the triangle. Figure y Ko 0 X 93 91 d 92 ▼ Part A What is the magnitude of the force exerted on the charge at the center of the triangle? Express your answer with the appropriate units. |F|net Submit Part B = 0 = 346 Submit O HÅ Value What is the direction of the force exerted on the charge at the center of the triangle? Express your answer in degrees, measured counterclockwise from the positive x-axis. Request Answer ✔ Correct Previous Answers Units P Pearson Wwwwww ?
A charged metal sphere of radius Rs and a charged, flat metal disk of radius Rp are connected by a long conducting wire. The sphere has a charge Qs (assume it is uniformly distributed on its surface). What is Qp, the charge on the disk (assume it is uniformly distributed on its surface)? Give your answer in nC to at least three digits to avoid being counted off due to rounding. Rs = 0.40 m, Rp = 0.33 m, Qs = 29.3 nC Sphere Qs, Rs 2D Disk QD, RD
Section A, Questions 1 Part (a) of the figure below shows two positive source charges +Q arranged on a semi circu- lar arc of radius r. A test charge +90 is located at the center of the arc. In part (b) of the figure, the two source charges are moved along the circular arc until they are closer to each other. Is the total electro- static force on the test charge qo for part (a) greater than, less, than or equal to the total electrostatic force on the test charge qo for part (b)? +Q (a) (b) +Q +90 +9o +Q +Q rch 75% 7- Cc F3 F4 FS F6 F7 F8 F10 F11 PrtSc F12 %23 24 5 8 9. T Y. G H. K M FL
Cylindrical shell of inner radius R₁ = 1.85 R and outer radius R₂ = 2.39 R is filled uniformly with charge density p. A point charge Q = 5.3q is located at point A a distance 7.97 R from the center of the cylinder. What is the magnitude of the force acts on the cylinder by the point charge. Express your answer in terms of qpR/e using two decimal places. Р R1 R₂ A Q
Part ACalculate the magnitude of the electric field E= (-11i+14j) N/C. Express your answer using two significant figures. Part B Calculate the direction (relative to the +x-axis) of the electric field E= (-11i+14j) N/C. Express your answer using three significant figures. Counter clockwise from +x axis Part C Find the magnitude of the force that the -8.0nC charge at the origin exerts on the -2.5nC point charge placed at the point P in (Figure 1). Express your answer using two significant figures. Part D Find the direction of the force that the -8.0nC charge at the origin exerts on the -2.5nC point charge placed at the point P in (Figure 1). Express your answer using two significant figures. ∘ below the+x-axis Part E Find the magnitude of the force that the -2.5nC charge exerts on the -8.0nC charge.Express your answer using two significant figures. Part F Find the direction of the force that the -2.5nC charge exerts on the -8.0nC charge.Express your answer using three significant…
Three charges are placed on three corners of a square, as shown. Each side of the square is 30 cm. Compute E at the fourth corner. What would be the force on a 6 µC charge placed at the vacant corner? 8 μC -5 µC AE. -4 µC E, E.
Four identical charged particles (g = +10.2 µC) are located on the corners of a rectangle as shown in the figure below. The dimensions of the rectangle are L = 65.4 cm and W = 15.1 cm. W L b. (a) Calculate the magnitude of the total electric force exerted on the charge at the lower left corner by the other three charges. 44 Your response is within 10% of the correct value. This may be due to roundoff error, or you could have a mistake in your calculation. Carry out all intermediate results to at least four-digit accuracy to minimize roundoff error. N