A magnetic dipole antenna is used to detect an electromagnetic wave. The antenna is a coil of 65.0 turns with radius 5.00 cm. The EM wave has frequency 479 kHz, electric field amplitude 0.640 V/m, and magnetic field amplitude 1.70 × 10−9 T. Assuming it is aligned correctly, what is the amplitude of the induced emf in the coil? (Since the wavelength of this wave is much larger than 5.00 cm, it can be assumed that at any instant the fields are uniform within the coil.)

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A magnetic dipole antenna is used to detect an electromagnetic wave. The antenna is a coil of 65.0 turns with radius 5.00 cm. The EM wave has frequency 479 kHz, electric field amplitude 0.640 V/m, and magnetic field amplitude 1.70 × 10−9 T.

Assuming it is aligned correctly, what is the amplitude of the induced emf in the coil? (Since the wavelength of this wave is much larger than 5.00 cm, it can be assumed that at any instant the fields are uniform within the coil.)

 

Expert Solution
Given That

Turns of a coil N = 65 turns

Radius = 5.0 cm = 5.0×10-2m

EM wave frequency = f = 479 kHZ = 479×103 Hz

Electric field amplitude = Em=0.640 V/m

Magnetic field amplitude = Bm1.7×10-19T

Length of electric dipole antenna L = 5.0 cm = 5.00×10-2

 

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