Inductance Assignment Help

Assignment Help: >> Electromagnetic Induction >> Inductance

We have already discussed capacitors - devices that store energy using electric force.  Like a capacitor, an inductor is also quite a commonly used element in electric circuits. It saves magnetic energy. As we know that when current flows through a conductor a magnetic field is set-up in surrounding of it, and hence it is related with magnetic flux. If magnetic flux related with a coil is f and current flowing through it is I, then its inductance is shown by the expression L=Φ/l . The quantity 'L' is called self-inductance of the coil. It does not rely on the current, but it relays on the permeability of the core and the dimensions of the coil.

S.I. unit of inductance is Henry.

Consider the circuit, in which a solenoid is connected across a cell through a resistor. When the circuit is open, the current in the circuit is zero. When the circuit is closed, a current flow in it. Since current in the circuit grows from zero to a certain number, magnetic field related with it modification that causes induction of an emf across the solenoid.

2143_Inductance.png

Induction of an emf due to variation in current flowing through the coil itself is known as self induction.

Since    1139_Inductance1.png

Inductance of an ideal solenoid: Let a current I flow through a solenoid. The magnetic field because of the current flowing within the solenoid is, B = m0nI, where n is the number of turns per unit length.

If area of cross part of the solenoid is A then flux related with length l is equal to

Φ = nlBA. (Assuming that the solenoid is ideal and long)

where l is the length of the solenoid.

Now    916_Inductance2.png

Self Inductance of a Coil: Consider a coil of N turns and area of cross-section A carrying a current i. The length of the coil is ÖA)l.

16_Inductance3.png

Comparing with f = L i, we get:849_Inductance5.png

1610_Inductance4.png

Inductance of Common Elements

931_Inductance6.png

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