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Which of the following expressions depicts the coefficient of self-inductance?
We know that, and
We also know that,
Self-inductance: Magnetic flux through the coil due to the current in the coil itself.
Let the self-inductance of A is LA and mutual inductance of A and B is MAB
Given that, velocity (v) = 0.5 m/s
Magnetic field (B) = 10 T
Induced emf (E) = 15 V
We know that, E = Blv
⇒ 15 = 10 × l × 0.5
Faraday’s first law of electromagnetic induction states that whenever a conductor is placed in a varying magnetic field, emf is induced which is called induced emf. If the conductor circuit is closed, the current will also circulate through the circuit and this current is called induced current.
Faraday's second law of electromagnetic induction states that the magnitude of emf induced in the coil is equal to the rate of change of flux that linkages with the coil. The flux linkage of the coil is the product of number of turns in the coil and flux associated with the coil.
The induced emf is given by,
E = BLv sin θ
When conductor moves right angles to the magnetic field, θ = 90°
E1 = BLv
Given that E2 is half of E1
⇒ θ = 30°
Given that, L1 = 4 mH
L2 = 16 mH
The coefficient of coupling between two coils is 0.5.
K = 0.45
Mutual inductance
If the two coils are connected in series opposing, the total inductance
Given that, L1 = 75 mH
L2 = 105 mH
The coefficient of coupling between two coils is 0 to 0.45.
We know that, emf induced is
An inductor coil of inductance L is divided into two equal parts. Now, each inductor has an inductance of L/2.
Both these parts are connected in parallel.
Mutual inductance (M) = 2 H
If the two coils are connected in parallel aiding, the total inductance
Change in current (di/dt) = 5 A/s
Induced voltage (V) = 25 V
We know that,
The inductance of a coil is given by,
Inductance is inversely proportional to length.
Hence if length doubles, the inductance will become half.
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