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JEE MainPhysicsElectromagnetic Waves

The magnetic field of a plane electromagnetic wave is given by B = B₀ (kx + t) j . The direction of the corresponding oscillating electric field is along the:

Options

  1. Anegative z-axis
  2. Bpositive x-axis
  3. Cpositive z-axis
  4. Dnegative x-axis

Correct answer

C. positive z-axis

Step-by-step solution

The phase of the wave is given by (kx + t) . For a constant phase, kx + t = constant , which implies x = - k t + C . This shows that the wave is propagating in the negative x-direction. Thus, the unit vector for the direction of propagation is c = - i . The magnetic field is oscillating along the y-axis, so its unit vector is B = j . The direction of propagation is given by c = E B . To find the direction of the electric field, we can use the relation E = B c . Substituting the unit vectors: E = j (- i ) = -( j i )

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