What is mutual inductance derive an expression?

units. (b) Derive an expression for the mutual inductance of two long co-axial solenoids of same length wound one over the other. (c) In an experiment, two coils C1 and C2 are placed close to each other. Find out the expression for the emf induced in the coil C1 due to a change in the current through the coil C2.

What is derivative of inductance?

In calculus terms, we would say that the induced voltage across the inductor is the derivative of the current through the inductor: that is, proportional to the current’s rate-of-change with respect to time.

Which among the following is the correct expression for mutual inductance?

Which, among the following, is the correct expression for mutual inductance? Explanation: Mutual inductance is the product of the number of turns in one coil and the flux linkages of that coil, divided by the current in the other coil. Hence M=N2φ2/I1 is the correct expression.

What is mutual induction obtain expression for mutual inductance between two long solenoids?

As both the solenoids are wound over each other, all the magnetic field lines of the primary coil pass through the secondary coil. Let the number of turns in the primary coil be N1 and the number of turns in the secondary coil be N2. M is called mutual inductance of the coils, given by the expression M=μ0N1N2πr12l.

What is mutual inductance write its unit?

Mutual inductance is the belongings of two coils by the virtue of which each opposes any change in the value of current flowing along the other by evolving an induced emf. The SI unit of mutual inductance is henry.

What is mutual inductance and self inductance?

Difference between Self and Mutual Inductance Self inductance is the characteristic of the coil itself. Mutual inductance is the characteristic of a pair of coils. The induced current opposes the decay of current in the coil when the main current in the coil decreases.

Which among the following is the correct expression for φ *?

Which, among the following, is the correct expression for φ. Explanation: From the impedance triangle, we get tanφ= XL/R. Hence φ=tan-1 (XL/R).

Which among the following is the correct expression for alternating emf generated?

e=Blvsin(θ)
Explanation: The correct expression for alternating emf generated is e=Blvsin(θ).

What is the expression of mutual inductance of two coils?

What is the value of mutual inductance?

Mutual Inductance. This expression is used when the magnitude of mutually induced emf in the coil and the rate of change of current in the neighboring coil is known. If e m = 1 volt and dI 1 /dt = 1 ampere then putting this value in the equation (1) we get the value of mutual inductance as M=1 Henry Hence, from the above statement,…

What is indinductance and how is it related to current?

Inductance is therefore also proportional to the energy stored in the magnetic field for a given current. This energy is stored as long as the current remains constant.

Why does mutual inductance increase when two coils are parallel to each other?

The mutual inductance will be maximum when maximum field lines due to one coil pass through the other. In such a situation, magnetic flux linked will be maximum. Therefore, in situation A both coils are parallel to each other. Hence more flux will be linked. Hence mutual inductance will be larger. 2.

How do you find the mutual inductance of two long solenoids?

L = L1 + L2 – 2M (When current in two coils in the opposite directions). Mutual Inductance of Two Long Coaxial Solenoids (S1 and S2) M = μ 0 N 1 N 2 A l. Where μ0 = Magnetic constant, N1 and N2 = Total number of turns in a solenoid S1, and S2, respectively, l = Length of the longer solenoid, and.