The electric field a plane electromagnetic wave is given by :
E₍y₎ = 69 sin[0.6 × 10³x - 1.8 × 10¹¹t] V·m⁻¹.
The expression for magnetic field associated with this electromagnetic wave i $s_____T.$

Question

The electric field a plane electromagnetic wave is given by :

E₍y₎ = 69 sin[0.6 × 10³x - 1.8 × 10¹¹t] V·m⁻¹.

The expression for magnetic field associated with this electromagnetic wave i $s_____T.$

G1 Physics · Accepted Answer

The wave phase is 0.6 × 10³x - 1.8 × 10¹¹t. Therefore the wave propagates along the +x direction. The electric field is along +y. For an electromagnetic wave, E⃗ × B⃗ must point in the direction of propagation. Thus B⃗ is along +z. The wave speed is c = ω ─── k . Here, ω = 1.8 × 10¹¹ rad·s⁻¹, k = 0.6 × 10³ m⁻¹. Hence, c = 1.8 × 10¹¹ ──────────── 0.6 × 10³ = 3 × 10⁸ m·s⁻¹. For an electromagnetic wave, B₀ = E₀ ─── c . Therefore, B₀ = 69 ───────── 3 × 10⁸ = 2.3 × 10⁻⁷ T. The electric and magnetic…

The electric field a plane electromagnetic wave is given by : E₍y₎ = 69 sin[0.6 × 10³x - 1.8 × 10¹¹t] V·m⁻¹. The expression for magnetic field associated with this electromagnetic wave i s_____T.