a.) The primary coil of a transformer has N 1 = 340 turns, and the secondary coi

Question

a.) The primary coil of a transformer has N1 = 340 turns, and the secondary coil has N2 = 1 940 turns. If the input voltage across the primary coil is ?v(t) = 170 cos ?t, where ?v is in volts and t is in seconds, what rms voltage is developed across the secondary coil?
________________ V

b.) An electromagnetic wave in vacuum has an electric field amplitude of 533 V/m. Calculate the amplitude of the corresponding magnetic field.
_________________ nT

c.) If the intensity of sunlight at the Earth's surface under a fairly clear sky is 1 100 W/m2, how much electromagnetic energy per cubic meter is contained in sunlight?
_________________

Explanation / Answer

a)

Given

V1=170 Volts

Transformer turns Ratio

N1/N2=V1/V2

340/1940=170/V2

V2=970 Volts

so rms secondary voltage

V2rms=970/sqrt(2) =685.9 Volts

b)

B=E/c =533/(3*108)

B=1776.67 nT

c)

Energy density

U=I/C =1100/(3*108)

U=3.667*10-6 J or 3.667 uJ

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