Question:

The electric field in an electromagnetic wave is moving in a free space given as vec \(E =E_ 0 \;sin(⍵t - kz)\) \(i\) The corresponding magnetic field will be:

Updated On: May 5, 2024
  • \(\frac{E_0}{ c}\; sin(⍵t - kz) \hat j\)
  • \(\frac{E_0}{c}\; sin(⍵t - kz) \hat j\)
  • \(\frac{E_0}{c}\; cos(⍵t - kz) \hat i\)
  • \(\frac{E_0}{c} \;sin(⍵t - kz) \hat i\)
Hide Solution
collegedunia
Verified By Collegedunia

The Correct Option is B

Solution and Explanation

The Correct Option is (B): \(\frac{E_0}{c}\; sin(⍵t - kz) \hat j\)

Was this answer helpful?
1
0

Top Questions on Magnetic Field

View More Questions

Concepts Used:

Magnetic Field

The magnetic field is a field created by moving electric charges. It is a force field that exerts a force on materials such as iron when they are placed in its vicinity. Magnetic fields do not require a medium to propagate; they can even propagate in a vacuum. Magnetic field also referred to as a vector field, describes the magnetic influence on moving electric charges, magnetic materials, and electric currents.

A magnetic field can be presented in two ways.

  • Magnetic Field Vector: The magnetic field is described mathematically as a vector field. This vector field can be plotted directly as a set of many vectors drawn on a grid. Each vector points in the direction that a compass would point and has length dependent on the strength of the magnetic force.
  • Magnetic Field Lines: An alternative way to represent the information contained within a vector field is with the use of field lines. Here we dispense with the grid pattern and connect the vectors with smooth lines.

Properties of Magnetic Field Lines

  • Magnetic field lines never cross each other
  • The density of the field lines indicates the strength of the field
  • Magnetic field lines always make closed-loops
  • Magnetic field lines always emerge or start from the north pole and terminate at the south pole.