Q. 64

Expert-verifiedFound in: Page 904

Book edition
4th

Author(s)
Randall D. Knight

Pages
1240 pages

ISBN
9780133942651

Consider current passing through a resistor of radius , length , and resistance .

a. Determine the electric and magnetic fields at the surface of the resistor. Assume that the electric field is uniform throughout, including at the surface.

b. Determine the strength and direction of the Poynting vector at the surface of the resistor.

c. Show that the flux of the Poynting vector (i.e., the integral of ) over the surface of the resistor is . Then give an interpretation of this result.

a) The electric and magnetic fields at the surface of the resistor,

b) The strength and direction of the Poynting vector at the surface of the resistor,

c)The flux of the Poynting vector over the surface of the resistor,

a.

The charge changes with respect to time is,

Charge enclosed is,

By above equation,

b)

Using ohms law,

Poynting vector shown as,

By above equation, you got

c)

Multiplication of electric field and magnetic field of resistors gives flux of the poynting vector,

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