Question:

A plane electromagnetic wave of frequency $20\, MHz$ travels through a space along x- direction. If the electric field vector at a certain point in space is $6\, V$ $m^{-1}$, what is the magnetic field vector at that point ?

Updated On: Apr 18, 2024
  • $2 \times 10^{-8} \, T$
  • $\frac{1}{2} \times 10^{-8} \,T$
  • $2T$
  • $\frac{1}{2}$ T
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The Correct Option is A

Solution and Explanation

The magnetic field $B=\frac{E}{c}$ where $c=3 \times 10^{8} m / s$ $B=\frac{6}{3 \times 10^{8}}=2 \times 10^{-8} T$
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Concepts Used:

Displacement Current

Displacement current is a quantity appearing in Maxwell’s equations. Displacement current definition is defined in terms of the rate of change of the electric displacement field (D). It can be explained by the phenomenon observed in a capacitor.

Displacement Current