Faradays Law Of Induction Mutual And Self Inductance
Faraday’s Law of Induction
- Magnetic flux (Φ): Amount of magnetic field through area. Visualize a “magnetic water flow.”
- EMF (ε): Voltage from changing magnetic flux. Imagine being shocked by a suddenly moving magnet.
- Lenz’s law: Induced EMF “fights back” against flux changes. Right-hand rule shows its direction.
- Faraday’s law: Rate of flux change directly gives induced EMF. It’s like measuring water flow rate.
Mutual Inductance (M)
- Definition: Ratio of induced EMF in one coil due to the change in current of another to that current’s change rate.
- Formula: $$M=\frac{\mu_0 N_1 N_2 A}{l}$$
- Breakdown:
- M in Henry (H).
- μ0 is the permeability of free space (4π × 10-7 T m/A).
- N1, N2 are coil turns.
- A is coil area in square meters.
- l is coil length in meters.
Self-Inductance (L)
- Definition: Ratio of back EMF in a coil due to its changing current to that current’s change rate.
- Formula: $$L= \frac{\mu_0 N^2 A}{l}$$
- Breakdown:
- L in Henry (H).
- μ0 is the permeability of free space (4π × 10-7 T m/A).
- N is the number of turns in the coil.
- A is the cross-sectional area of the coil in square meters.
- l is the length of the coil in meters.
