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I want to make a solenoid that has self inductance 8.00uH. I have a cylindrical wooden rod that is 40.0 cm long with a 6.00

I want to make a solenoid that has self inductance 8.00uH. I have a cylindrical wooden rod that is 40.0 cm long with a 6.00 cm diameter circular cross section .

(A ) How many complete loops of wire must I wind around the rod to get the solenoid that I want ?

I connect a 4.00 nF capacitor to my solenoid to create a LC circuit . ( b ) What is the circuit's resonance frequency ?

I'm building this oscillating circuit to tune in radio waves from my favorite radio station whose transmission frequency is " eight hundred ninety on your AM radio dial . " ( c ) What unit should follow the number 890 ? Use answers to part ( b ) to identify whether the correct unit for AM radio stations is Hz ( hertz ) , kHz ( kilohertz ) , MHz ( megahertz ) , GHz ( gigahertz ) , or THz ( terahertz ) ?

My favorite radio station uses an antenna whose height is equal to one quarter the wavelength of the radio wave it transmits ( and so , it is called a quarter - wave antenna ) . ( d ) How tall is my favorite radio station's antenna ?

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