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Introduction to Electrodynamics
Found in: Page 20
Introduction to Electrodynamics

Introduction to Electrodynamics

Book edition 4th edition
Author(s) David J. Griffiths
Pages 613 pages
ISBN 9780321856562

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Illustration

Short Answer

Calculate the curls of the vector functions in Prob. 1.15.

(a)The curl of vector is obtained as .

(b)The curl of vector is obtained as .

(c)The curl of vector is obtained as .

See the step by step solution

Step by Step Solution

Step 1: Describe he given information

The curls of the vector functions has to be evaluated.

Step 2: Define the curl.

The curl of a vector is defined as , expressed as

Step 3: Compute the curl of v.

Compute curl of vector V .

Solve using matrix form as,

Step 4: Compute the curl of v for vector in part (a).

(a)

The vector is defined as. . The components of vector v are written as

Substitute for , for , and 3xz for into .

Thus, the curl of vector v is obtained as

Step 5: Compute the curl of v for vector in part (b).

(b)

The vector v is defined as. . The components of vector v are written as

Substitute xy for , for , and 3zx for into .

Thus, the curl of vector v is obtained as .

Step 6: Compute the curl of v for vector in part (c).

(c)

The vector v is defined as. . The components of vector are written as

Substitute for , for , and 2yz for into

Thus, the curl of vector v is obtained as

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