Introduction to Electrodynamics
4th Edition
ISBN: 9781108420419
Author: David J. Griffiths
Publisher: Cambridge University Press
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Chapter 2.2, Problem 2.10P
To determine
To find: the flux E.
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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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- Q.1. Given a uniform electric field É = 5 × 10³ î N/C. Find the flux of this field through a square of side 10 cm on a side whose plane is parallel to the y-z plane. What would be the flux through the same square if the plane makes a 30° angle with the x-axis ?arrow_forwardSolve the following:a. Find the flux through a spherical Gaussian surface of radius a= 1 m surrounding a charge of 8.85 pC.b. Find the value of the electric field at a distance r= 10 cm fromthe center of a non-conducting sphere of radius R= 1 cm whichhas an extra positive charge equal to 7 C uniformly distributedwithin the volume of the sphere.arrow_forward2.12 Use Gauss' law to determine the E field produced by a spherical charge distribution of density p = a/r2, where a is a constant.arrow_forward
- 2.1 D A total charge of Q coul is uniformly distributed over the volume of a sphere of 20 cm radius. Find the electric field intensitya. At the center of the sphereb. At a point 10 cm from the center of the spherec. At a point on the surface of the sphered At a point 50 cm from the center of the sphere. Please type answer no write by hend.arrow_forwardFind total charge contain in a spherical volume of radius ‘r’, electric field link up at the origin. Show all the steps. Given E=50r N/c, r=400cm.arrow_forwardplease solve question 6, A solid insulating sphere of radius a carioste positive charge Q. A conducting spherical shell on inner radius band outere carriesa net charge 50. The charge on the Inner surface of the shell is:arrow_forward
- Problem 2.01. Three plates with surface charge density |o| = 8.85 μC/mm² are stacked on top of each other. The top and bottom plates have charge density to while the center plate has charge density -0. (a) Find the magnitude and direction of the electric field between the plates. (b) Find the magnitude and direction of the electric field above and below the plate stack.arrow_forward1. Find the electric field a distance : above one end of a straight length of wire of length 2L (Fig. 2.8). Assume that the wire carries uniform line charge A. After Griffiths, problem 2.3 2L 2. Determine the electric field a distance z above the center of a large square loop of side a, if it carries a unikorm charge A. You may use the result for the electric field at a distance z above a midpoint of a straight wire with constant A. After Griffiths, problem 2.4. 3. The electric field in a region of space described in spherical co-ordinates, is given by E(F) = r + sin o sin deos 00 + sin ở cos dop, where A and B are constants. (a) Calculate V xỂ. (b) Determine the charge density at the point (1,45). 4 (a) Using Gauss's law, calculate the electric field at a point distant s from a long wire bearing uniform charge density A.arrow_forwardConsider a thin plastic rod bent into an arc of radius Rand angle a (see figure below). The rod carries a uniformly distributed negative charge Q -Q A IR What are the components and E, of the electric field at the origin? Follow the standard four steps. (a) Use a diagram to explain how you will cut up the charged rod, and draw the AE contributed by a representative piece. (b) Express algebraically the contribution each piece makes to the and y components of the electric field. Be sure to show your integration variable and its origin on your drawing. (Use the following as necessary: Q, R, cx, 0, A0, and EQ-) ΔΕ, = - TE aR² AB=(2 Lower limit= 0 ✓ e aR² Upper limit= a X cos(0)40 x (c) Write the summation as an integral, and simplify the integral as much as possible. State explicitly the range of your integration variable. sin (0)40 x Evaluate the integral. (Use the following as necessary: Q, R, a, and E.) Editarrow_forward
- Following the previous question, the x-component of the net electric field at x = -1.00 m, Enet.x , is N/C. Use normal format and 3 significant figures.arrow_forwardA square surface of area 9 cm2 is in a space of uniform electric field of magnitude 104 N/C . The amount of flux through it depends on how the square is oriented relative to the direction of the electric field. Find the electric flux (in N · m2/C) through the square, when the normal to it makes the following angles with the electric field. Note that these angles can also be given as 180° + θ. a. 36degrees b. 90 degrees c. 0 degreesarrow_forwardAs shown in the figure below, a spherical conducting shell carrying a net charge of -Q. Find the charge in uC on the spherical conducting shell outer surface at R3, if a solid conducting sphere of radius R7 and a net positive charge + 3Q is placed inside it, where Q = 6 uO. (Write your numerical answer below in the box)arrow_forward
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