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Q.

A lamp emits monochromatic green light uniformly in all directions. The lamp is 3% efficient in converting electrical power to electromagnetic waves and consumes 100 W of power. The amplitude of the electric field associated with the electromagnetic radiation at a distance of 10 m from the lamp will be

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a

1.34 V/m

b

2.68 V/m

c

5.36 V/m

d

9.37 V/m

answer is A.

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Detailed Solution

I=P4πr2, P=3% of 100 W=3 WP4πr2=12∈0E02C ; Pr2=124π∈0E02C3100=1219 x 109E02 x 3 x 108E02=1.8 ; E0=1.8=1.34 Vm-1
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A lamp emits monochromatic green light uniformly in all directions. The lamp is 3% efficient in converting electrical power to electromagnetic waves and consumes 100 W of power. The amplitude of the electric field associated with the electromagnetic radiation at a distance of 10 m from the lamp will be