# A 155-turn flat coil of wire, 32.5 cm in diameter, is acting as an antenna for FM radio at a frequency of 120 MHz. The propagation direction of the radio wave is parallel to the plane of the coil. The magnetic field oscillates perpendicularly to that plane and has a maximum strength of 0.95 × 10-12 T. a) What is the intensity of the radio wave, in watts per square meter? b)  Find the average emf, in volts, that is induced in the coil during the quarter cycle as the magnetic varies in strength from zero to maximum. c) If the radio receiver circuit contains an inductance of 2.6 μH, what capacitance, in farads, must it also contain for it to resonate at 120 MHz? Ignore damping.

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A 155-turn flat coil of wire, 32.5 cm in diameter, is acting as an antenna for FM radio at a frequency of 120 MHz. The propagation direction of the radio wave is parallel to the plane of the coil. The magnetic field oscillates perpendicularly to that plane and has a maximum strength of 0.95 × 10-12 T.

a) What is the intensity of the radio wave, in watts per square meter?

b)  Find the average emf, in volts, that is induced in the coil during the quarter cycle as the magnetic varies in strength from zero to maximum.

c) If the radio receiver circuit contains an inductance of 2.6 μH, what capacitance, in farads, must it also contain for it to resonate at 120 MHz? Ignore damping.

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Step 1

a)

Write the equation for intensity

Step 2

Substitute the values in (I)

Step 3

b)

Write the equation f...

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