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A uniform plane wave propagates in free space in + direction with the H field is given as H(x;t) = 10 cos(10³t - Bx)ŷ A/m. Find: (a) B (b) 2 (c) Ē(x;t) expression and Ē(x;t) amplitude at point (0.1,0.2,0.3) and t=1 ns

A uniform plane wave propagates in free space in + direction with the H field is given as H(x;t) = 10 cos(10³t - Bx)ŷ A/m. Find: (a) B (b) 2 (c) Ē(x;t) expression and Ē(x;t) amplitude at point (0.1,0.2,0.3) and t=1 ns

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**Problem Statement:** A uniform plane wave propagates in free space in the \(+ \hat{x}\) direction with the \(\vec{H}\) field given as: \[ \vec{H}(x, t) = 10 \cos(10^8 t - \beta x) \hat{y} \, \text{A/m} \] Find: (a) \(\beta\) (b) \(\lambda\) (c) \(\vec{E}(x, t)\) expression and \(\vec{E}(x, t)\) amplitude at point (0.1, 0.2, 0.3) and \(t = 1 \, \text{ns}\)
Transcribed Image Text:**Problem Statement:** A uniform plane wave propagates in free space in the \(+ \hat{x}\) direction with the \(\vec{H}\) field given as: \[ \vec{H}(x, t) = 10 \cos(10^8 t - \beta x) \hat{y} \, \text{A/m} \] Find: (a) \(\beta\) (b) \(\lambda\) (c) \(\vec{E}(x, t)\) expression and \(\vec{E}(x, t)\) amplitude at point (0.1, 0.2, 0.3) and \(t = 1 \, \text{ns}\)
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