Electromagnetic Induction And Alternating Current - Formula Sheet
- Magnetic Flux: \(\Phi_B = B A \cos \theta\)
(\(B\): Magnetic field, \(A\): Area, \(\theta\): Angle between field and area vector) - Faraday’s Law of Induction: \(\epsilon = -N \frac{d\Phi_B}{dt}\)
(\(\epsilon\): Induced emf, \(N\): Number of turns, \(t\): Time) - Motional emf: \(\epsilon = Blv\)
(\(l\): Length of conductor, \(v\): Velocity) - Self-Inductance: \(L = \frac{N\Phi_B}{I}\)
(\(L\): Inductance in Henry, \(I\): Current) - Energy Stored in Inductor: \(U = \frac{1}{2}LI^2\)
(\(U\): Magnetic potential energy) - Mutual Inductance: \(M = \frac{N_2\Phi_{21}}{I_1}\)
(\(M\): Mutual inductance between two coils) - Transformer Turns Ratio: \(\frac{V_s}{V_p} = \frac{N_s}{N_p} = \frac{I_p}{I_s} = K\)
(\(s\): Secondary, \(p\): Primary, \(K\): Transformation ratio) - RMS Current: \(I_{RMS} = \frac{I_m}{\sqrt{2}} \approx 0.707 I_m\)
(\(I_m\): Peak current) - Inductive Reactance: \(X_L = \omega L = 2\pi f L\)
(\(\omega\): Angular frequency, \(f\): Frequency) - Capacitive Reactance: \(X_C = \frac{1}{\omega C} = \frac{1}{2\pi f C}\)
(\(C\): Capacitance) - Impedance of RLC Circuit: \(Z = \sqrt{R^2 + (X_L - X_C)^2}\)
(\(R\): Resistance) - Average Power in AC: \(P_{avg} = V_{RMS} I_{RMS} \cos \phi\)
(\(\cos \phi\): Power factor)
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