A plane electromagnetic wave propagating in the x-direction has a wavelength of 10.0 mm. The electric field is in the y-direction and its maximum magnitude is 60 V m^-1. Write suitable equations for the electric and magnetic fields as a function of x and t.

Solution

Given, a plane electromagnetic wave propagating in the x-direction.
Wavelength of EM wave = 10 nm
Direction of electric field = y direction.
Magnitude of electric field = 60 V/m

Thus, equations for electric and magnetic field is given by,
$E_{y} = E_{0 y} \sin [\frac{2 π}{λ} (ct - x)] B_{z} = B_{0 z} \sin [\frac{2 π}{λ} (ct - x)]$
Using this, a relation between their magnitude is derived as,
$B_{0 z} = \frac{E_{0 y}}{c}$

Now, on substituting values , we get

$B_{0 z} = \frac{60 v / m}{3 \times 10^{8} m / s} = 2 \times 10^{- 7} T .$

which is the required maximum value of magnetic field.

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Current Electricity

A plane electromagnetic wave propagating in the x-direction has a wavelength of 10.0 mm. The electric field is in the y-direction and its maximum magnitude is 60 V m^-1. Write suitable equations for the electric and magnetic fields as a function of x and t.

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Current Electricity

A plane electromagnetic wave propagating in the x-direction has a wavelength of 10.0 mm. The electric field is in the y-direction and its maximum magnitude is 60 V m-1. Write suitable equations for the electric and magnetic fields as a function of x and t.

Some More Questions From Current Electricity Chapter

Mock Test Series

NCERT Sample Papers

Entrance Exams Preparation

A plane electromagnetic wave propagating in the x-direction has a wavelength of 10.0 mm. The electric field is in the y-direction and its maximum magnitude is 60 V m^-1. Write suitable equations for the electric and magnetic fields as a function of x and t.