## Principles of Electricity and Electromagnetism |

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Page 588

D.2 as the Az products of the

i, j, and k * A = L4X + jAv + kA. Ax, Av, and A, are known as the Cartesian

components of the vector A. The components of the Fio. D.2.— Resolution of a

Sum of ...

D.2 as the Az products of the

**scalar**quantities Ax, Ay, and ,4, and the unit vectorsi, j, and k * A = L4X + jAv + kA. Ax, Av, and A, are known as the Cartesian

components of the vector A. The components of the Fio. D.2.— Resolution of a

Sum of ...

Page 593

Another useful concept is the integral of a

by a closed curve. From the previous discussion in connection with the

product, if v is the velocity of an incompressible fluid and ds is an infinitesimal ...

Another useful concept is the integral of a

**scalar**product over a surface boundedby a closed curve. From the previous discussion in connection with the

**scalar**product, if v is the velocity of an incompressible fluid and ds is an infinitesimal ...

Page 594

A vector field which may be written as the gradient of a

interesting and important property. From Eq. (D.9) the line integral of (grad u) • dl

along the curve S as in Fig. (D.8) is simply the difference between the values of

the ...

A vector field which may be written as the gradient of a

**scalar**field has aninteresting and important property. From Eq. (D.9) the line integral of (grad u) • dl

along the curve S as in Fig. (D.8) is simply the difference between the values of

the ...

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