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.

Question
Asked Nov 9, 2019
9 views

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. 

 

 

check_circle

Expert Answer

Step 1

a)

Write the equation for intensity

help_outline

Image Transcriptionclose

cB Intensity 2/ D Here Bisthemagneticfieldstrength, isthepermeabiity of free space andcisthe speed of light

fullscreen
Step 2

Substitute the values in (I)

help_outline

Image Transcriptionclose

(3x10 m/s)(0.95x10PT 2(4xx10 H/m 1.07x10 Wm Intensity=

fullscreen
Step 3

b)

 

Write the equation f...

help_outline

Image Transcriptionclose

dt Here Nisthenumber of tums and Aisthe area

fullscreen

Want to see the full answer?

See Solution

Check out a sample Q&A here.

Want to see this answer and more?

Solutions are written by subject experts who are available 24/7. Questions are typically answered within 1 hour.*

See Solution
*Response times may vary by subject and question.
Tagged in

Science

Physics