NEET Study Notes for Electromagnetic Induction and Alternating Current: Electromagnetic Induction is the induction of electromotive force by motion, a conductor across a magnetic field, or by a change in magnetic flux in a magnetic field. The current that changes its magnitude and polarity repeatedly opposite to the direct current is known as alternating current. Alternators are used for the generation of alternating current.
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Topics | Sub-Topics |
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Electromagnetic Induction and Alternating Current |
Electromagnetic induction; Faraday’s law, induced emf and current; Lenz’s Law, Eddy currents. Self and mutual inductance. Alternating currents, peak and rms value of alternating current/ voltage; reactance and impedance; LC oscillations (qualitative treatment only), LCR series circuit, resonance; power in AC circuits, wattles current. AC generator and transformer. |
Magnetic Flux is the number of magnetic lines of force that cross a surface Magnetic flux is represented by Φ
where B - the strength of magnetic field
A- area of surface
θ- Angle which is normal to the area made with the direction of magnetic field
S.I. unit of the magnetic field is weber
where 1 weber =108 maxwell
Faraday’s Law of Electromagnetic Induction consists of two laws- where emf induction in a conductor is demonstrated by the first law whereas the emf produced in a conductor is quantified.
When the conductor is placed in a varying magnetic field, an electromotive force is induced. Current is induced if the conductor circuit is closed, it is called induced current.
The rate of change of flux linkage is equal to the induced emf in a coil.
ε =-N( dφ/dt)
where e is the electromotive force
N represents the number of turns
φ is the magnetic field
On the changing of the magnetic field that is linked with the circuit, emf will be induced in a circuit. There are three methods to produce induced emf:
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Heinrich Friedrich Lenz formulated the Lenz’s law that demonstrates the polarity characteristic of the induced emf.
Due to the polarity nature of induced emf, an opposing current is produced that opposes the magnetic field change that is responsible for producing it.
where the negative side is due to the opposing nature of the relationship between induced emf and the reason behind it. This law is similar to the principle of conservation of energy.
The changes in magnetic flux induces circulating currents that are formed in the metal. These currents are known as Eddy currents. They are also known as Foucault currents as they were discovered by Foucault. Lenz’s Law helps in the determination of the direction of eddy currents.
Change in the strength of the flow of current is opposed by a characteristic of a coil that is called self-inductance. The coil opposes this by inducing emf
Thus the magnetic flux is directly proportional to the current that flows through the circuit, Mathematically self Inducatnace can be expressed as
ϕ = L I
where L coefficient of self inductance
Magnetic flux rate of change in the coil is
The characteristics of a coil by which changes in the flow of current in two coils is opposed by each other through induced emf is called Mutual inductance Mutual Inductance is given by the reaction
Φ=MI, where M is the mutual inductance Rate of change of magnetic flux in coil, is
Mutual Inductance Formula is
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Self Inductance | Mutual Inductance |
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The characteristics of a coil is defined by self-inductance. | The characteristics of a pair of coils in relation to each other are called Mutual Inductance |
On the increase of the main current in the coil, the induced current opposes the flow of current in the coil. | On the increase of the main current in the coil, the induced current that develops in the neighboring coil opposes its growth. |
On the increase of the main current in the coil, the induced current opposes the decay of current. | On the decrease of the main current in the coil, the induced current opposes the decay of current while there is a decrease in the main current. |
The current that opposes its direction in polarity from that of direct current is called Alternating current. Alternating current can also transform the higher voltage to lower voltage and vice versa.
Alternators are one of the main devices that is used for producing alternating current. It can also be produced by a simple method of single-coil AC generator which has magnets with two poles. And a rectangular shape loop wire wherein the mechanical energy is converted into electrical energy.
What is the Average Value of AC?
The average of values of Ac over a cycle is the average value of AC. The average value after a complete cycle is zero. This is due to equal positive and negative life cycles.
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When heat effect takes place due to AC power that is equal to DC power, it is termed as RMS value of alternating current.
Impedance
The ratio of application of emf and current that is produced as a result is called impedance. This takes place in an alternating current circuit. Impedance can be represented by Z. Mathematically Impedance can be represented by
The obstacle that resistance offers along with either inductance or capacitance or both in the flow of circuit is called Impedance. S.I. unit of Impedance is Ohm
Reactance
In an AC circuit, the resistance that is offered by inductance or capacitance or both to the flow of AC is called Reactance. Reactance can be represented by X. Reactance and Impedance is equal when no ohmic resistance acts in the circuit. If this reactance is due to impedance only, it is called impedance reactance. It is represented by XL whereas the reactance due to capacitance is called capacitative reactance. S.I unit is called Ohm.
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Circuits consist of capacitors and inductors. When charged capacitors are discharged through a non-resistance, electrical oscillations of constant amplitude and frequency are produced. These electrical oscillations are termed LC oscillations.
The electrical charge that a capacitor store is an initial charge. It is denoted by
There is zero charges in the inductor circuit whereas, in a sine wave, the current varies with respect to time.
On turning the switch on, there is an increase in the current flowing through the circuit, however the charge on the capacitor keeps decreasing, A magnetic field is produced inside the inductor due to this induced current. The magnetic field at a point when an electric current is the maximum in the circuit is UB=12LIm
The magnetic field starts to decrease with time as there are no changes in the inductors. An induction of current is caused due to this decrease in the magnetic field. Induced current has the opposite polarity. This current flows in the opposite direction. This leads to capacitor charging. On the capacitor charging at its maximum, the entire procedure repeats itself.
These oscillations of the current flow in the circuit from the capacitor to the inductor and back to the capacitor are LC Oscillations. These oscillations occur with a frequency that is derived by application of Kirchoff’s law
The rate at which work is done in the circuit is called power. The current and emf are not equal.P= IV, where I is the current that flows through the circuit, V- voltage across the circuit.
The ratio of the power flowing through the circuit and the apparent power present in the circuit is called the power factor. The power factor is dimensionless. It ranges from -1 to 1. It can be denoted by
Power Factor= True Power/ Evident Power
, cos ø= R/Z
where R is the resistance in the circuit, Z is the hindrance of the circuit
In a capacitative circuit, the Power factor is 0 while in a resistive circuit, it is 1
AC Generators convert mechanical energy to a form of electrical energy called alternating current. These are also called alternators. The unit for a rating of AC Generators is Kilo volt-amperes.
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Transformer is responsible for transforming the alternating voltage from a greater to a smaller value or vice versa. The workings of the transformer are based on mutual induction.
Question: In what way does the direction and magnitude changes in alternating current?
Answer: Periodically
Question: What do step transformers do?
Answer: Increase in Voltage
Question: On which of the following conservation, Lenz law is based?
Answer: Energy
Question: What happens to impedance at resonance?
Answer: Purely resistive
Question: Why is the transformer core laminated?
Answer: Minimize eddy current loss
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