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Question: A point source of electromagnetic radiation has an average power output of 800W. The maximum value o...

A point source of electromagnetic radiation has an average power output of 800W. The maximum value of electric field at a distance 3.5 m form the source will be

A

56.7 V/m

B

62.6 V/m

C

39.3 V/m

D

47.5 V/m

Answer

62.6 V/m

Explanation

Solution

Intensity of electromagnetic wave given is by

Em=μ0cPav2πr2E _ { m } = \sqrt { \frac { \mu _ { 0 } c P _ { a v } } { 2 \pi r ^ { 2 } } } =(4π×107)×(3×108)×8002π×3.52=62.6 V/m= \sqrt { \frac { \left( 4 \pi \times 10 ^ { - 7 } \right) \times \left( 3 \times 10 ^ { 8 } \right) \times 800 } { 2 \pi \times 3.5 ^ { 2 } } } = 62.6 \mathrm {~V} / \mathrm { m }