A rod of length ( lying along y axis carries a positive charge q and the charge distribution is uniform as shown in the figure. Another rod of length L, which is placed along x axis between x=a and x=a+L, carries linear charge density given by A = Ao(x² +P/4)\/2 where Ao is a constant. Calculate the magnitude of the electric force acting on the rod lying along y axis (k is the Coulomb's constant.). x=a x=L+a e/2 a L Select one: L+l kdoq In(1 + =) kAoq In(1+ kAoq In(1+7)

A rod of length ( lying along y axis carries a positive charge q and the charge distribution is uniform as shown in the figure. Another rod of length L, which is placed along x axis between x=a and x=a+L, carries linear charge density given by A = Ao(x² +P/4)\/2 where Ao is a constant. Calculate the magnitude of the electric force acting on the rod lying along y axis (k is the Coulomb's constant.). x=a x=L+a e/2 a L Select one: L+l kdoq In(1 + =) kAoq In(1+ kAoq In(1+7)

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

Three charges are placed along the x-axis: q1 = 3.00 µC at X1 = -20.0 cm, q2 = -5.00 µC at x2 = 10.0 cm, and q3 = 6.00 µC at x3 = 25.00 cm. Determine the magnitude of the electric field at the origin. O 4 69x106 N/C O 2 96x106 N/C O 6 04x106 N/C O 4.31x106 N/C
A negative point charge Q1, is located at the origin. A rod of length L is located along the x axis with the near side a distance d from the origin. A positive charge Q2, is uniformly spread over the length of the rod. After integrating the force from each slice over the length of the rod, the magnitude of the electric force on the charge at the origin can be represented as the following: F = (k |Q1| |Q2|) / (d (d + L)) Let L = 2.22m, d = 0.42m, Q1 = -6.29µC, and |Q2| = 11.1µC. Calculate the magnitude if the force in newtons that the rod exerts on the point charge at the origin.
Equal charges of 2µC are placed at the three corners of an equilateral triangle of side 4m. Calculate the magnitude and direction of the force on one of the charges.
Two positive point charges of magnitude Q each are separated by a distance "2a". A test charge 'q,' is located in a plane which is normal to the line joining these charges and midway between them. The locus of the points in this plane for which the force on the test charge has a maximum value is (a) a circle of radius r = a/ 2 (c) a straight line (b) a circle of radius r = a (d) an ellipse
Three positive charges, q1, q2, and q3 are connected with two strings of equal length L. Due to mutual Coulomb repulsion the charges spread out and form a straight line such that the distance between 1 and 3 is 2L and, with 2 in the middle, the distance between 1 and 2 or 2 and 3 is just L. Find the tension force in each string.
The figure shows a very long wire of uniform charge density A= 18.75 µC/m placed on the x axis. Find the magnitude of the electric force (in N) exerted on a point charge q=2.00 µC placed on the y axis at a distance r= 0.242 m away from the wire.
Particle A of charge 3.06 x 10-4 C is at the origin, particle B of charge -6.30 × 10-4 C is at (4.00 m, 0), and particle C of charge 1.01 x 10-4 C is at (0, 3.00 m). We wish to find the net electric force on C. (a) What is the x component of the electric force exerted by A on C? (b) What is the y component of the force exerted by A on C? (c) Find the magnitude of the force exerted by B on C. (d) Calculate the x component of the force exerted by B on C. (e) Calculate the y component of the force exerted by B on C. N (f) Sum the two x components from parts (a) and (d) to obtain the resultant x component of the electric force acting on C. (g) Similarly, find the y component of the resultant force vector acting on C. (h) Find the magnitude and direction of the resultant electric force acting on C. magnitude direction ° counterclockwise from the +x-axis
Calculate the strength and direction of the electric field, E, due to point charge of 2.7 nC at a distance 5.6 mm from the charge. For the direction, consider the line joining the point charge and point at the distance 2.4mm. The direction on this line away from the charge is positive and the direction towards the charge is negative. What force does the electric field found in the previous example exert on a point charge of −2.3·10^-8 C?
The figure shows a very long wire of uniform charge density λ= 18.75 µC/m placed on the x axis. Find the magnitude of the electric force (in N) exerted on a point charge q=2.00 µC placed on the y axis at a distance r= 0.289 m away from the wire.
A ring of radius R that lies in the xy plane carries a positive charge Q uniformly distributed over its lerigth. A particle of mass m that carries a negative charge of magnitude q is at the center of the ring. (a) Show that if x << R, the electric field along the axis of the ring is proportional to z. (b) Find the force on the particle of mass m as a function of z. (c) Show that if m is given a small displacement in the x direction, it will perform simple harmonic motion. Calculate the period of that motion
A charged cloud system produces an electric field in the air near Earth's surface. A particle of charge -1.5 × 10-9 C is acted on by a downward electrostatic force of 3.8 × 10-6 N when placed in this field. (a) What is the magnitude of the electric field? (b) What is the magnitude of the electrostatic force on a proton placed in this field? (c) What is the gravitational force on the proton? (d) What is the ratio of the electrostatic force to the gravitational force in this case?