Introduction to Electrodynamics
4th Edition
ISBN: 9781108420419
Author: David J. Griffiths
Publisher: Cambridge University Press
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Chapter 2.5, Problem 2.47P
To determine
The net force exerted on the northern hemisphere by the charge present on the southern hemisphere of solid sphere
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Chapter 2 Solutions
Introduction to Electrodynamics
Ch. 2.1 - (a) Twelve equal charges,q, arc situated at the...Ch. 2.1 - Find the electric field (magnitude and direction)...Ch. 2.1 - Find the electric field a distance z above one end...Ch. 2.1 - Prob. 2.4PCh. 2.1 - Prob. 2.5PCh. 2.1 - Find the electric field a distance z above the...Ch. 2.1 - Find the electric field a distance z from the...Ch. 2.2 - Use your result in Prob. 2.7 to find the field...Ch. 2.2 - Prob. 2.9PCh. 2.2 - Prob. 2.10P
Ch. 2.2 - Use Gauss’s law to find the electric field inside...Ch. 2.2 - Prob. 2.12PCh. 2.2 - Prob. 2.13PCh. 2.2 - Prob. 2.14PCh. 2.2 - A thick spherical shell carries charge density...Ch. 2.2 - A long coaxial cable (Fig. 2.26) carries a uniform...Ch. 2.2 - Prob. 2.17PCh. 2.2 - Prob. 2.18PCh. 2.2 - Prob. 2.19PCh. 2.3 - One of these is an impossible electrostatic field....Ch. 2.3 - Prob. 2.21PCh. 2.3 - Find the potential a distance s from an infinitely...Ch. 2.3 - Prob. 2.23PCh. 2.3 - Prob. 2.24PCh. 2.3 - Prob. 2.25PCh. 2.3 - Prob. 2.26PCh. 2.3 - Prob. 2.27PCh. 2.3 - Prob. 2.28PCh. 2.3 - Prob. 2.29PCh. 2.3 - Prob. 2.30PCh. 2.4 - Prob. 2.31PCh. 2.4 - Prob. 2.32PCh. 2.4 - Prob. 2.33PCh. 2.4 - Find the energy stored in a uniformly charged...Ch. 2.4 - Prob. 2.35PCh. 2.4 - Prob. 2.36PCh. 2.4 - Prob. 2.37PCh. 2.5 - A metal sphere of radius R, carrying charge q, is...Ch. 2.5 - Prob. 2.39PCh. 2.5 - Prob. 2.40PCh. 2.5 - Prob. 2.41PCh. 2.5 - Prob. 2.42PCh. 2.5 - Prob. 2.43PCh. 2.5 - Prob. 2.44PCh. 2.5 - Prob. 2.45PCh. 2.5 - If the electric field in some region is given (in...Ch. 2.5 - Prob. 2.47PCh. 2.5 - Prob. 2.48PCh. 2.5 - Prob. 2.49PCh. 2.5 - Prob. 2.50PCh. 2.5 - Prob. 2.51PCh. 2.5 - Prob. 2.52PCh. 2.5 - Prob. 2.53PCh. 2.5 - Prob. 2.54PCh. 2.5 - Prob. 2.55PCh. 2.5 - Prob. 2.56PCh. 2.5 - Prob. 2.57PCh. 2.5 - Prob. 2.58PCh. 2.5 - Prob. 2.59PCh. 2.5 - Prob. 2.60PCh. 2.5 - Prob. 2.61P
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- (a)find the net force that the southern hemisphere of a uniformly charged solid sphere exert on the northern hemisphere.express your answer in terms of the radius rand and total charge Q.arrow_forward(c) Calculate the magnitude of the force on the charge q, given that the square is 10.0 cm on a side and q=2 μC. Fr net = 0 Case II. 9a = b = +8 μC and qc = qd = -8 μC. N (e) Due to symmetry the direction of the net force is D. In the -y direction Fnet (d) In your notebook, draw the forces on q due to qa, qb, qc, and qd. Or use the result of of Homework: Charges on a Square Free Body Diagram. = 83.91 qc Hint: For each force draw the x and y components. Some will add and some will cancel. (f) Calculate the magnitude of the force on the charge q, given that the square is 10.0 cm on a side and q=2 μC. X N No, that's only partially correct. O qd Xarrow_forwardTwo small, identical conducting spheres A and B are adistance R apart; each carries the same charge Q. (a) Whatis the force sphere B exerts on sphere A? (b) An identicalsphere with zero charge, sphere C, makes contact withsphere B and is then moved very far away. What is the netforce now acting on sphere A? (c) Sphere C is brought backand now makes contact with sphere A and is then movedfar away. What is the force on sphere A in this third case?arrow_forward
- (a) Find the electric field (magnitude and direction) a distance z above the midpoint between two equal charges, q, a distance d apart (Fig. 1). Check that your result is consistent with what you'd expect when z » d? q d2 d/2 aarrow_forwardThree charges are placed in 3 corners of a square A (qA = -1.0μC), B (qB = +1.0μC), C (qC = -2.0μC). Calculate the charge (in micro Coulombs) located at point D so that the net force on charge at B will be zero. (Signs are important).arrow_forwardGiven that D = 10 x 3 3 a x(μC/m2), determine the total charge (in microcoulombs) enclosed in a cube of 2 m on an edge, centered at the origin and with edges parallel to the axes.arrow_forward
- Three identical metal spheres are hung from a ceiling on rigid non-conducting rods. Sphere 1, sphere 2, and sphere 3 have charges 33 µC, -44 µC, and 48 µC, respectively. Each sphere is separated by 15 cm. (a) What is the net electric force on the middle sphere due to spheres 1 and 3? (Enter the magnitude only.) (b) What is the direction of the net electric force? O up O down O left O right O no direction (zero magnitude)arrow_forward3 C of charge are placed on a spherical conducting shell. A particle with a charge of -4 C is placed at the center of the cavity. Find the net charge on the outer surface of the shell. Express your answers in units of C with no decimal place. Do not forget a minus sign if your answer is negative.arrow_forwardTwo concentric spherical shells of radii 5 cm and 10 cm are charged uniformly with 5 μC and -9 μC, respectively. Find the force acting on a point charge 5 μC located at a point r=7.5 cm (right in between the shells). [Hint: you want to find the electric field at that point.] Find the force in N.arrow_forward
- A spherical conductor A contains two spherical cavities. The total charge on the conductor itself is zero. However, there is a point charge q, at the centre of one cavity and q at the centre of the other. A considerable distance r away from the centre of the spherical conductor, there is another charge q. Force acting on q,, q. and qa are. F, F, and F, respectively. [Assume all charges are positive] (a) F, F3 "b 3 (b) F, = F, F, > F,arrow_forward(a) Find the electrostatic field at a distance of 5 cm from a 2µC charge. (b) What is the magnitude and direction of the force on a proton placed at this point? [ [Given Data , Coulomb constant ke= 8.99x10° Nm?/C?] el KSJ A postal employee drives a delivery truck along the route shown in fig. Use component method to determine the magnitude and direction of the truck's resultant displacement. STOP 3.1 km 4.0 km 45° START 2.6 kmarrow_forwardThree 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.arrow_forward
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