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महाराष्ट्र राज्य शिक्षण मंडळएचएससी विज्ञान (सामान्य) इयत्ता १२ वी

Define mutual inductance.

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प्रश्न

Define mutual inductance.

व्याख्या
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उत्तर

The mutual inductance (M) of two circuits (or coils) is the magnetic flux (Φs) linked with the secondary circuit per unit current (IP) of the primary circuit.

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पाठ 12: Electromagnetic Induction - Short Answer I

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संबंधित प्रश्‍न

The co-efficient of mutual induction between primary and secondary coil is 2H. Calculate induced e.m.f. if current of 4A is cut off in 2.5 x 10-4 seconds


Draw a necessary arrangement for winding of primary and secondary coils in a step-up transformer. State its underlying principle and derive the relation between the primary and secondary voltages in terms of number of primary and secondary turns. Mention the two basic assumptions used in obtaining the above relation.


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.


The current flowing through an inductor of self inductance L is continuously increasing. Plot a graph showing the variation of Magnetic potential energy stored versus the current.

 


A long solenoid with 15 turns per cm has a small loop of area 2.0 cm2 placed inside the solenoid normal to its axis. If the current carried by the solenoid changes steadily from 2.0 A to 4.0 A in 0.1 s, what is the induced emf in the loop while the current is changing?


A 1.0 m long metallic rod is rotated with an angular frequency of 400 rad s−1 about an axis normal to the rod passing through its one end. The other end of the rod is in contact with a circular metallic ring. A constant and uniform magnetic field of 0.5 T parallel to the axis exists everywhere. Calculate the emf developed between the centre and the ring.


An air-cored solenoid with length 30 cm, area of cross-section 25 cm2 and number of turns 500, carries a current of 2.5 A. The current is suddenly switched off in a brief time of 10−3 s. How much is the average back emf induced across the ends of the open switch in the circuit? Ignore the variation in magnetic field near the ends of the solenoid.


Define coefficient of mutual induction. 


Explain the phenomenon of mutual induction.


A pair of adjacent coils has a mutual inductance of 1.5 H. If the current in one coil changes from 0 to 20 A in 0.5 s, what is the change of flux linkage with the other coil?


Find the mutual inductance between the circular coil and the loop shown in figure.


The current in a long solenoid of radius R and having n turns per unit length is given by i= i0 sin ωt. A coil having N turns is wound around it near the centre. Find (a) the induced emf in the coil and (b) the mutual inductance between the solenoid ant the coil.


A pair of adjacent coils has a mutual inductance of 1.5 H. If the current in one coil changes from 0 to 10 A in 0.2 s, what is the change of flux linkage with the other coil?


A long solenoid of length l, cross-sectional area A and having N1 turns (primary coil), has a small coil of N2 turns (secondary coil) wound about its center. Determine the Mutual inductance (M) of the two coils.


A pair of the adjacent coil has a mutual inductance of 1.5 H. If the current in one coil varies from 0 to 20 A in 0.5 s, what is the change of flux linked with the other coil. 


A current I = 10 sin (50 π t) ampere is passed in the first coil which induces a maximum e.m.f. of 5 π volt in the second coil. The mutual inductance between the coils is ______.


A coil of radius 'r' is placed on another coil (whose radius is 'R' and current flowing through it is changing) so that their centres coincide. (R>>r) if both the coils are coplanar then the mutual inductance between them is proportional to ______.


Two different wire loops are concentric and lie in the same plane. The current in the outer loop (I) is clockwise and increases with time. The induced current in the inner loop.


The mutual inductance between two coplanar concentric rings A and B of radii 'R1' and 'R2' placed in air when a current 'I' flows through ring A is (R1 >> R2) (µ0 = permeability of free space) ____________.


The mutual inductance of a pair of coils is 0.75 H. If current in the primary coil changes from 0.5 A to zero in 0.01 s, find average induced e.m.f. in secondary coil ______.


The mutual inductance between two coils depends on ______.

Mutual induction is the production of induced e.m.f. in a coil due to the changes of current in the ______.

If number of turns in primary and secondary coils is increased to two times each, the mutual inductance ______.


Two circular coils have their centres at the same point. The mutual inductance between them will be maximum when their axes ______


Two conducting circular loops of radii R1 and R2 are placed in the same plane with their centres coinciding. If R1 > > R2, the mutual inductance M between them will be directly proportional to ______.


Two conducting circular loops of radii R1 and R2 are placed in the same plane with their centres coinciding. If R1 >> R2, the mutual inductance M between them will be directly proportional to ______.


The mutual inductance M12 of coil 1 with respect to coil 2 ______.

  1. increases when they are brought nearer.
  2. depends on the current passing through the coils.
  3. increases when one of them is rotated about an axis.
  4. is the same as M21 of coil 2 with respect to coil 1.

There are two coils A and B seperated by some distance. If a current of 2A flows through A, a magnetic flux of 10-2 Wb passes through B (no current through B). If no current passes through A and a current of 1A passes through B, what is the flux through A?


An emf of 91 mV is induced in the windings of a coil when the current in o nearby coil is increasing at the rate of 1.3 A/s. what is the mutual inductance (M) of the two coils in mH?


Two circular loops, one of small radius r and the other of larger radius R, such that R >> r, are placed coaxially with centres coinciding. Obtain the mutual inductance of the arrangement.


A rectangular coil of wire 50 turn each of area 6 x 10-4 m2 is freely suspended in a field of 3 x 10-2 Wb / m2. Calculate the current flowing through the coil when it deflects through 60°, when torsional constant is 3.82 x 10-6 SI unit.


State and define the SI unit of mutual inductance.


The coefficient of mutual induction is 2 H and induced e.m.f. across secondary is 2 kV. Current in the primary is reduced from 6 A to 3 A. The time required for the change of current is ______.


Two planar concentric rings of metal wire having radii r and r2 (r₁ > r2) are placed in air. The current I is flowing through the coil of larger radius. The mutual inductance between the coils is given by ( μο = permeability of free space) ______.


Which property of two coils describes a change in current in one coil inducing an emf in the other?


Which relation defines mutual inductance using the flux linkage \[N_2\phi_{21}\] and current \[I_1\] ?


Which formula relates mutual inductance, coefficient of coupling, and the self-inductances of coil 1 and coil 2?


What do \[L_1\] and \[L_2\] represent in \[M=K\sqrt{L_1L_2}\] ?


What maximum value of \[M\] follows from \[M=K\sqrt{L_1L_2}\] and \[0\leq K\leq 1\] ?


What is the SI unit of mutual inductance?


The Henry, the SI unit of mutual inductance, is named after whom?


What does the Reciprocity Theorem of Mutual Inductance state?


How does increasing the number of turns \[N_1\] and \[N_2\] affect mutual inductance?


What is the magnetic field inside primary solenoid \[S_1\] ?


What is the total flux linkage of secondary solenoid \[S_2\] ?


What is the magnetic field at the centre of the outer large coil when it carries current \[I_2\] ?


Why can \[B_2\] be assumed uniform across the entire area of the inner coil?


What is the magnetic flux through the inner small coil when current \[I_2\] flows in the outer large coil?


Which definition relates the flux through the inner coil to the current in the outer coil?


What is the mutual inductance of a small circular coil of radius \[r_1\] at the centre of a large circular coil of radius \[r_2\] when \[r_1\ll r_2\] ?


How does an induction cooktop use mutual inductance?


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