23.9 Inductance Inductors Induction is the process in which an emf is induced by changing magnetic flux. Many examples have been discussed so far, some more effective than others. Transformers, for example, are designed to be particularly effective at inducing a desired voltage and current with very little loss of energy to other forms. Is there a useful physical quantity related to how "effective" a given device is? The answer is yes, and that physical quantity is called inductance. Mutual inductance is the effect of Faraday's law of induction for one device upon another, such as the primary coil in transmitting energy to the secondary in a transformer. See Figure 23.39, where simple coils induce emfs in one another. Coil 1 Coil 2 4 changing E2 induced Galvanometer Figure 23.39 These coils can induce emfs in one another like an inefficient transformer. Their mutual inductance Mindicates the effectiveness of the coupling between them. Here a change in current in coil 1 is seen to induce an emf in coil 2. (Note that" E2 induced" represents the induced emf in coil 2.)

Q: •• An ac generator with a frequency of 1.55 kHz and an rms voltage of 20.8 V is connected in series…

A: Given data: *The given frequency is f = 1.55 kHz = 1.55 × 103 Hz *The rms voltage is vrms = 20.8 V…

Q: Your RL circuit has a characteristic time constant of 20.0 ns, and an inductance of 0.150 H. • What…

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Q: 3 Induction Coil Solenoid A closed copper coil with 100 turns of wire and a total resistance of R =…

A: Given Data The number of turns of copper coil is:N=100 turns The total resistance is:R=5Ω The…

Q: The plug-in transformer for a laptop computer puts out 7.20 V and can supply a maximum current of…

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Q: What is the reactance of a 1.00-nF capacitor at (a) 60.0 Hz, 24 (b) 6.00 kHz, and (c) 6.00 MHz?

A: The quantity 1ωC is the effective AC resistance or the capacitive reactance of the capacitor and is…

Q: Metal rod horizontal rotation • Force is perpendicular to the rod pushing counterclockwise, B is out…

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Q: 1. If a alternating current is measured to have a frequency of 182 Hz and has an instantaneous…

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Q: What inductance (in H) do you need to produce a resonant frequency of 60 Hz, when using a 4.95 µF…

A: f = 60 Hz C = 4.95 uF

Q: • What is the phase angle in an RLC circuit with R = 9.9 kΩ,C = 1.5 mF, and L = 250 mH? The…

A: Phase angle is the angle between voltage and current. It is given by, Given, Therefore,

Q: For a toroidal solenoid, suppose the number of turns is 175, the area is 4.56 cm 2, and the radius…

A: number of turns = 175Area (A) = 4.56 cm2radius (r) = 5.83 cm initial current = 0 A final current =…

Q: How much does the current lag the voltage (Phase angle) in an RC-circuit containing components with…

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Q: Given the following measurements of inductance, postulate the true value for inductance under…

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Q: The magnetising inductance for a power converter is required to be 1000 µH. Calculate the minimum…

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Q: What is the reactance is 102 at 60 Hz? self-inductance of a coil whose

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Q: • Trapped on a deserted island, you salvage some copper wire anda generator to build a makeshift…

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Q: Electric Generators• Calculate the emf induced in a generator.• Calculate the peak emf which can be…

A: Suppose the angle between the area normal vector of the loop and the magnetic field (B) is θ. The…

Q: 2. If a transformer has an input current of 843A, an output current of 350A, and has 400 primary…

A: 2) Input current = 843 A Output current = 350 A primary windings = 400

Q: • At resonance, the rms current in an RLC circuit is 5.8 A. If the rmsvoltage of the generator is…

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Q: A coil of inductance 0.07H and resistance 2002 is connected to a 24V, DC supply. Determine: • the…

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Q: An inductor is connected to a 15 kHz oscillator. The peak curront is 70 mA when the rms voltage is…

A: Given Frequency (f)               = 15 kHz Peak current (I)            = 70 mA RMS voltage  Vrms   =…

Q: 6-5) Consider an LR circuit with a battery, ɛs. The circuit has been running for a very long time.…

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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.