Q:S.I. Unit of Mutual Induction
Answer:The SI unit of mutual inductance is the Henry (H). One Henry is defined as the amount of mutual inductance that will induce an EMF of one volt when the current changing at the rate of one ampere per second.
Q:What is Induced EMF?
Answer: Induced EMF (Electromotive Force) is the voltage generated in a conductor or coil due to a changing magnetic field. This phenomenon is a fundamental principle of electromagnetism and is described by Faraday's Law of Induction. The magnitude of the induced EMF is directly proportional to the rate of change of the magnetic flux. It's used in generators and transformers.
Q: Derive the expression for Self Inductance. Answer: Flux linkage is proportional to current. $$ \phi = L \cdot I $$ For N turns: $$ \Phi = N \phi = N L I $$ Induced emf is: $$ e = -\frac{d\Phi}{dt} = -L \frac{dI}{dt} $$ Thus, $$ L = \frac{N \phi}{I} = \frac{\Phi}{I} $$
Q: What is the coefficient of mutual induction equation? Answer: The induced emf in the secondary coil is: $$ e_2 = -M \frac{dI_1}{dt} $$ where $$ M = \frac{N_2 \phi_{12}}{I_1} = k \sqrt{L_1 L_2} $$
Q: Derive the expression for energy stored in an inductor. Answer: The power is: $$ P = V I = L \frac{dI}{dt} I $$ Energy stored is: $$ W = \int_0^I L I \, dI = \tfrac{1}{2} L I^2 $$