Question

A type of transmission line for electromagnetic waves consists of two parallel conducting plates (assumed infinite in width) separated by a distance a. Each plate carries the same uniform surface current density of 16.0 A/m, but the currents run in opposite directions. What is the magnitude of the magnetic field between the plates at a point 1.00 mm from one of the plates if a = 0.800 cm? (μ0 = 4π × 10-7 T · m/A)

Answer 1

Answer:

$B=2.01 \times 10^{-5}\ T$

Explanation:

Distance between plates = 0.8 cm

Distance from one plate = 1 mm

Current density (J)= 16 A/m

Currents are flowing in opposite direction.

$\mu _o=4\pi \times 10^{-7}$

When current is flowing in opposite direction then magnetic field given as

$B=\dfrac{\mu _oJ}{2}+\dfrac{\mu _oJ}{2}$

$B=\mu _oJ$

Now by putting the values we get

$B=4\pi \times 10^{-7}\times 16$

$B=2.01 \times 10^{-5}\ T$