A point source surrounded by vacuum emits an electromagnetic wave of frequency of 900 kHz. If the power emitted by the source is 15 W, the amplitude of the electric field of the wave (in 10-3V/m) at a distance 15 km from the source is :
( (1 / 4πε0) = 9*109 Nm2/C2 and speed of light in vacuum = 3 * 108 ms-1)
A point source surrounded by vacuum emits an electromagnetic wave of frequency of 900 kHz. If the power emitted by the source is 15 W, the amplitude of the electric field of the wave (in 10-3V/m) at a distance 15 km from the source is :
( (1 / 4πε0) = 9*109 Nm2/C2 and speed of light in vacuum = 3 * 108 ms-1)
I = P/ (4πr²) . (i)
and I = (1/2)ε? E? ²c . (ii)
From (i) and (ii)
P/ (4πr²) = (1/2)ε? E? ²c
E? = √ (2P/ (4πε? r²c) ; E? = √ (9*10? *2*15)/ (15*15*10? *3*10? ) = 2*10? ³ V/m
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According to definition of displacement current, we can write
B0 = 42.9 × 10-9
42.9 Ans
s? = -? + k? ∴ s? = (-? +k? )/√2
d_lm = Distance covered by transmitting antenna + Distance covered by receiving antenna
⇒ d_lm = √ (2Rh_transmitting) + √ (2Rh_receiving)
⇒ d_lm = √ (2 × 64 × 10? × 20) + √ (2 × 64 × 10? × 5) = 16000 + 8000 = 24000m
When h_receiving = 0 then
d_2m = √ (2 × 64 × 10? × 20) = 16000m
% increment = (8000/16000
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Physics Electromagnetic Waves 2025
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