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GATE EC 2015 Set 1 — Question 64

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NAT+2 / -0HardPoynting Vector & Power FlowMaxwell's EquationsElectromagneticsUniform Plane WavesPlane Waves

Electromagnetics → Maxwell's Equations → Poynting Vector & Power Flow

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Question

The electric field intensity of a plane wave traveling in free space is given by the following expressionE(x,t)=ay 24 πcos⁡(ωt−k0x) (V/m)\mathbf{E}(x, t) = \mathbf{a}_y \, 24 \, \pi \cos(\omega t - k_0 x) \, (\text{V/m})In this field, consider a square area 10 cm×10 cm10 \text{ cm} \times 10 \text{ cm} on a plane x+y=1x + y = 1. The total time-averaged power (in mW) passing through the square area is _________.
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