self inductance
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When a current passes through an insulated coil, it produces a magnetic field and links flux within the coil. This causes self-induction, where changing the current induces an electromotive force (emf) back in the coil. The self-inductance (L) of a coil depends on its shape, number of turns, and the material inside. It represents the flux linked per unit of current and does not depend on the current itself. Lenz's law applies, so the induced self emf opposes the change that created it.
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This document discusses electromagnetic induction, which occurs when a changing magnetic field induces an electromotive force (emf) in a conductor. It can be caused by moving a conductor through a stationary magnetic field or placing a conductor in a changing magnetic field. The induced emf will generate a current if the conductor forms a closed circuit. Faraday's laws of induction state that an emf is induced whenever the magnetic flux through a circuit changes. The magnitude of the induced emf is proportional to the rate of change of the magnetic flux. Several examples and problems are provided to illustrate these principles.
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This document discusses electromagnetic induction, which occurs when a changing magnetic field induces an electromotive force (emf) in a conductor. It can be caused by moving a conductor through a stationary magnetic field or placing a conductor in a changing magnetic field. The induced emf will generate a current if the conductor forms a closed circuit. Faraday's laws of induction state that an emf is induced whenever the magnetic flux through a circuit changes. The magnitude of the induced emf is proportional to the rate of change of the magnetic flux. Several examples and problems are provided to demonstrate how to calculate induced emf and inductance.
chapter32.ppt
Inductance is a property of circuits that causes a back emf opposing any change in current. When the current in a circuit changes, it produces a magnetic field that induces an emf to oppose the change. Circuits containing inductors and resistors reach their final current values exponentially over time due to this back emf. Energy is also stored in the magnetic field of an inductor when current flows through it. Mutual inductance describes the interaction between currents in two different coils and can induce emfs in each other as well. In an LC circuit with no resistance, the current and charge oscillate indefinitely between the inductor and capacitor as energy transfers between their electric and magnetic fields.
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self inductance
- 2. •When an electric current is passed through an insulated conducting coil, it gives rise to a magnetic field in the coil so that the coil itself behaves like a magnet. •The magnetic flux produced by the current in the coil is linked with the coil itself.
- 3. DEFINATION As the strength of the current in the coil is changed, the flux linked with the coil also changes. Under such circumstances an emf is induced in the coil too. Such emf is called a self-induced emf and this phenomenon is known as self-induction.
- 4. Conducting coil Battery Direction of the Current Key/Switch Rheostat
- 5. Current flows In anti-clock Wise direction Current flows In clock Wise direction
- 6. If the number of turn in a coil is N and the flux linked with each turn is φ, then the total flux linked through the coil = Nφ. In this case, the total flux linked with the coil (which is called flux linkage) is directly proportional to the current I flowing through the coil.
- 7. N = LI where the constant of proportionality L is called the self-inductance of a coil. N = LI, L= N/I The self inductance L is a measure of the flux linked with coil per unit current.
- 8. •The self-inductance L of a coil depends upon – (1)The size and shape of the coil. (2) The number of turns N. (3) The magnetic property of the medium within the coil in which the flux exists. NOTE:Self-inductance L does not depend on current I.
- 9. Diffrentiating equation N = LI with respect to time t, N d/dt = L dI/dt In the case of self-induction, Faraday’s law and Lenz’s law holds good. Hence self-induced emf in the coil is, e = -N d/dt Self-induced emf is also called “back emf”.
- 10. Form equation e = -L dI/dt Self inductance L = -e/(dI/dt) “The self-induced emf produced per unit rate of change of current in the circuits called self-inductance of the circuit.” Unit of L =unit of emf(v)/Unit of rate of change of current (A/s)=Vs/A or Henry(H)