• Trapped on a deserted island, you salvage some copper wire anda generator to build a makeshift radio transmitter. (a) If you wrapthe wire into an 8-turn coil of radius 3.8 cm and length 25 cm, whatis its inductance? (b) What capacitance do you need to make anRLC circuit with the coil that oscillates at the emergency beaconfrequency of 406 MHz? (c) If you fashion the parallel-plate capacitor out of two aluminum squares, 5.0 cm on a side, what should bethe separation distance between the two plates?

• Trapped on a deserted island, you salvage some copper wire anda generator to build a makeshift radio transmitter. (a) If you wrapthe wire into an 8-turn coil of radius 3.8 cm and length 25 cm, whatis its inductance? (b) What capacitance do you need to make anRLC circuit with the coil that oscillates at the emergency beaconfrequency of 406 MHz? (c) If you fashion the parallel-plate capacitor out of two aluminum squares, 5.0 cm on a side, what should bethe separation distance between the two plates?

College Physics

1st Edition

ISBN:9781938168000

Author:Paul Peter Urone, Roger Hinrichs

Publisher:Paul Peter Urone, Roger Hinrichs

Chapter23: Electromagnetic Induction, Ac Circuits, And Electrical Technologies

Section: Chapter Questions

Problem 96PE: To receive AM radio, you want an RLC circuit that can be made to resonate at any frequency between...

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Concept explainers

Voltage Across Inductor

An actor is a passive electrical component that consists of a coil bent in the form of wire which uses electromagnetism to produce electric current through the coil. When the electric current flows through a conductor that is the coil, a magnetic flux is developed around the conductor. This flow of current through the coil creates a magnetic field based on Fleming's Right-hand thumb rule. If there is any decrease in the current passing through the inductor, then the magnetic field will also decrease and energy is released through the generation of electric current. There is also a secondary voltage inducing in the same coil due to the magnetic flux, since it opposes any changes in the electric current flowing through the circuit. An inductor is also called choke, coil, or solenoid. A choke is designed to block certain frequencies when the DC current passes. A winding coil is coated with insulation to give extra insulation and protect the circuit. They are usually tightly wrapped around a central core which is cylindrical in nature so that the magnetic flux can be induced. The solenoid is a three-dimension coil that is used to exhibit electromagnetism when the magnetic field is developed due to the current flowing through the coil. The sign convention of the inductor is the same as the power dissipating device. When the current flows into the positive side of the voltage across the inductor, the value is positive and the inductor dissipates power whereas when the inductor releases the power back to the circuit, the current has a negative sign convention. 

Question

• Trapped on a deserted island, you salvage some copper wire and
a generator to build a makeshift radio transmitter. (a) If you wrap
the wire into an 8-turn coil of radius 3.8 cm and length 25 cm, what
is its inductance? (b) What capacitance do you need to make an
RLC circuit with the coil that oscillates at the emergency beacon
frequency of 406 MHz? (c) If you fashion the parallel-plate capacitor out of two aluminum squares, 5.0 cm on a side, what should be
the separation distance between the two plates?

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