 1.1P: Using the definitions in Eqs. 1.1 and 1.4, and appropriate diagrams...
 1.2P: Is the cross product associative? If so, prove it; if not, provide ...
 1.3P: Find the angle between the body diagonals of a cube.
 1.4P: Use the cross product to find the components of the unit vector per...
 1.5P: Prove the BACCAB rule by writing out both sides in component form.
 1.6P: Prove that[A × (B × C)] + [B × (C × A)] + [C × (A × B)] = 0.Under w...
 1.7P: Find the separation vector from the source point (2,8,7) to the fie...
 1.8P: (a) Prove that the twodimensional rotation matrix (Eq. 1.29) prese...
 1.9P: Find the transformation matrix R that describes a rotation by about...
 1.10P: (a) How do the components of a vector5 transform under a translatio...
 1.11P: Find the gradients of the following functions:(a) f (x, y, z) = x2 ...
 1.12P: The height of a certain hill (in feet) is given byh ( x , y ) = 10(...
 1.13P: Let be the separation vector from a fixed point (x ?, y?, z? ) to t...
 1.14P: Suppose that f is a function of two variables (y and z) only. Refer...
 1.16P: Sketch the vector function and compute its divergence. The answer m...
 1.17P: In two dimensions, show that the divergence transforms as a scalar ...
 1.18P: Calculate the curls of the vector functions in Prob. 1.15.Reference...
 1.19P: Draw a circle in the xy plane. At a few representative points draw ...
 1.20P: Construct a vector function that has zero divergence and zero curl ...
 1.21P: Prove product rules (i), (iv), and (v).Reference rules(i), (iv), an...
 1.22P: (a) If A and B are two vector functions, what does the expression (...
 1.23P: (For masochists only.) Prove product rules (ii) and (vi). Refer to ...
 1.24P: Derive the three quotient rules.
 1.25P: (a) Check product rule (iv) (by calculating each term separately) f...
 1.26P: Calculate the Laplacian of the following functions:
 1.27P: Prove that the divergence of a curl is always zero. Check it for fu...
 1.28P: Prove that the curl of a gradient is always zero. Check it for func...
 1.29P: Calculate the line integral of the function from the origin to the ...
 1.30P: Calculate the surface integral of the function in Ex. 1.7, over the...
 1.31P: Calculate the volume integral of the function T = z2 over the tetra...
 1.32P: Check the fundamental theorem for gradients, using T = x2 + 4xy + 2...
 1.33P: Test the divergence theorem for the function Take as your volume th...
 1.34P: Test Stokes’ theorem for the function , using the triangular shaded...
 1.35P: Check Corollary 1 by using the same function and boundary line as i...
 1.36P: (a) Show that (b) Show that
 1.37P: Find formulas for r, ?, ? in terms of x, y, z (the inverse, in othe...
 1.38P: Express the unit vectors in terms of (that is, derive Eq. 1.64). Ch...
 1.39P: (a) Check the divergence theorem for the function v1 = r 2 ˆr, usin...
 1.40P: Compute the divergence of the function Check the divergence theorem...
 1.41P: Compute the gradient and Laplacian of the function T = r (cos ? + s...
 1.42P: Express the cylindrical unit vectors (that is, derive Eq. 1.75). “I...
 1.43P: (a) Find the divergence of the function (b) Test the divergence the...
 1.44P: Evaluate the following integrals:
 1.45P: Evaluate the following integrals:
 1.46P: (a) Show that [Hint: Use integration by parts.](b) Let ?(x) be the ...
 1.47P: (a) Write an expression for the volume charge density ?(r) of a poi...
 1.48P: Evaluate the following integrals:
 1.49P: Evaluate the integral (where V is a sphere of radius R, centered at...
 1.50P: (a) Let Calculate the divergence and curl of F1 and F2. Which one c...
 1.51P: For Theorem 1, show that (d)?(a), (a)?(c), (c)?(b), (b)?(c), and (c...
 1.52P: For Theorem 2, show that (d)?(a), (a)?(c), (c)?(b), (b)?(c), and (c...
 1.53P: (a) Which of the vectors in 1.15 can be expressed as the gradient o...
 1.54P: Check the divergence theorem for the function using as your volume ...
 1.55P: Check Stokes’ theorem using the function (a and b are constants) an...
 1.56P: Compute the line integral of along the triangular path shown in Fig...
 1.57P: Compute the line integral of around the path shown in Fig. 1.50 (th...
 1.58P: Check Stokes’ theorem for the function sing the triangular surface ...
 1.59P: Check the divergence theorem for the function using the volume of t...
 1.60P: Here are two cute checks of the fundamental theorems:(a) Combine Co...
 1.61P: Although the gradient, divergence, and curl theorems are the fundam...
 1.62P: The integral is sometimes called the vector area of the surface S. ...
 1.63P: (a)Find the divergence of the function First compute it directly, a...
Solutions for Chapter 1: Introduction to Electrodynamics 4th Edition
Full solutions for Introduction to Electrodynamics  4th Edition
ISBN: 9780321856562
Solutions for Chapter 1
Get Full SolutionsSince 62 problems in chapter 1 have been answered, more than 72065 students have viewed full stepbystep solutions from this chapter. This textbook survival guide was created for the textbook: Introduction to Electrodynamics , edition: 4. Introduction to Electrodynamics was written by and is associated to the ISBN: 9780321856562. Chapter 1 includes 62 full stepbystep solutions. This expansive textbook survival guide covers the following chapters and their solutions.

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