In this problem we are going to design an electric generator by rotating the magnet instead of the loop of wire, which we will then use to power an RLC circuit. A diagram of the electric generator is shown below. 0(t) B (a) If the loop is made of 10 coils of wire with an area of 25 cm2, how fast do we need to rotate a magnetic field with strength 0.4 Telsa to produce a maximum voltage equivalent to that of a wall outlet (120 V)? Give your answer in rpm (revolutions per minute).
In this problem we are going to design an electric generator by rotating the magnet instead of the loop of wire, which we will then use to power an RLC circuit. A diagram of the electric generator is shown below. 0(t) B (a) If the loop is made of 10 coils of wire with an area of 25 cm2, how fast do we need to rotate a magnetic field with strength 0.4 Telsa to produce a maximum voltage equivalent to that of a wall outlet (120 V)? Give your answer in rpm (revolutions per minute).
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Transcribed Image Text:In this problem we are going to design an electric generator by rotating the magnet
instead of the loop of wire, which we will then use to power an RLC circuit. A diagram of
the electric generator is shown below.
i(t) B
(a) If the loop is made of 10 coils of wire with an area of 25 cm2, how fast do we need to
rotate a magnetic field with strength 0.4 Telsa to produce a maximum voltage equivalent
to that of a wall outlet (120 V)? Give your answer in rpm (revolutions per minute).
Transcribed Image Text:We will use this generator to power the RLC circuit shown belowe, which has a resistance of
R=230 , an inductance of L 200 µH, and capacitance of C 25 nF.
E(t)
(b) If the inductor is a solenoid with 50 coils of wire that has length 4.0 cm, what is the
radius of the coils in centimeters?
(c) What is the impedance Z of the circuit in Ohms and the maximum current Io in Amps?
(d) The current in this circuit alternates in direction and magnitude. When the current in
the circuit is moving counterclockwise and is increasing, is the direction of the induced
current in the inductor clockwise, counterclockwise, or zero? Explain.
(e) The alternating current produces an alternating magnetic field in the inductor. If the
magnetic field in the inductor produces an electromagnetic wave that propagates toward
the right, what is the direction of the electric field when the magnetic field in the inductor
is pointing upward?
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