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1. Electromagnetic waves are radiated uniformly in all directions from a source. The rms electric field of the waves is measured 35 km from the source to have an rms value of 0.42 N/C. Determine the average total power radiated by the source.

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The average total power radiated by the source can be calculated using the formula:

P = (1/2)ε₀cE₀²4πr²

where:
- P is the power radiated by the source
- ε₀ is the electric constant (8.85 x 10^-12 F/m)
- c is the speed of light (3.00 x 10^8 m/s)
- E₀ is the rms electric field of the waves
- r is the distance from the source to the point where the electric field is measured

Substituting the given values, we get:

P = (1/2)(8.85 x 10^-12)(3.00 x 10^8)(0.42²)/(4π(35 x 10^3)²)
P ≈ 0.123 W

Therefore, the average total power radiated by the source is approximately 0.123 W.
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