हिंदी

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. - Physics

Advertisements
Advertisements

प्रश्न

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.

संक्षेप में उत्तर
Advertisements

उत्तर

`∅_2="N"_2"B"_1"A"`
2 = `"N"_2xx(μ_0"N"_1"I"_1)/"L"xx"A"`

2 = `(μ_0"N"_1"N"_2"A")/"L""I"_1`

Comparing with ∅2 = MI1

We get M2 = `(μ_0"N"_1"N"_2"A")/"L"`

shaalaa.com
  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 12: Electromagnetic induction - Exercises [पृष्ठ २८७]

APPEARS IN

बालभारती Physics [English] Standard 12 Maharashtra State Board
अध्याय 12 Electromagnetic induction
Exercises | Q 14 | पृष्ठ २८७

वीडियो ट्यूटोरियलVIEW ALL [2]

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


If the radius of a sphere is doubled without changing the charge on it, then electric flux originating from the sphere is ______.


Explain the meaning of the term mutual inductance.


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 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.


Explain self induction and mutual induction


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?


Consider two concentric circular coils, one of radius r1 and the other of radius r2 (r1 < r2) placed coaxially with centers coinciding with each other. Obtain the expression for the mutual inductance of the arrangement.


A coil of self-inductance 2.5H and resistance 20Ω is connected to a battery of emf 120V having the internal resistance of 5 n. Find:

1) The time constant of the circuit.

2) The current in the circuit in steady state


Two circular loops are placed with their centres separated by a fixed distance. How would you orient the loops to have (a) the largest mutual inductance (b) the smallest mutual inductance?


Find the mutual inductance between the straight wire and the square loop of figure.


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


A solenoid of length 20 cm, area of cross-section 4.0 cm2 and having 4000 turns is placed inside another solenoid of 2000 turns having a cross-sectional area 8.0 cm2 and  length 10 cm. Find the mutual inductance between the solenoids.


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?


An emf of 96.0 mV is induced in the windings of a coil when the current in a nearby coil is increasing at the rate of 1.20 A/s. What is the mutual inductance (M) of the two coils?


Define Mutual Inductance.


Two coils P and Q are kept near each other. When no current flows through coil P and current increases in coil Q at the rate 10 A/s, the e.m.f. in coil P is 20 mV. When coil Q carries no current and current of 1.6 A flows through coil P, the magnetic flux linked with the coil Q is ____________.


The dimensions of self or mutual inductance are given as ______.


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 ______.


An alternating current of frequency 200 rad/s and peak value 1 A is applied to the primary of a transformer. If the coefficient of mutual induction between the primary and the secondary is 1.5H, then the voltage induced in the secondary will be approximately (π = 2217)


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.


Alternating current of peak value `(2/pi)` ampere flows through the primary coil of transformer. The coefficient of mutual inductance between primary and secondary coil is 1 H. The peak e.m.f. induced in secondary coil is ______. (Frequency of a.c. = 50 Hz)


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) ____________.


Two coils P and Q have mutual inductance 'M' H. If the current in the primary is I = I0 sin `omega`t, then the maximum vlaue of e.m.f. indued in coil Q is ____________.


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 ______.

A solenoid is connected to a battery so that a steady current flows through it. If an iron core is inserted into the solenoid, the current will ______.


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


Two coils are placed close to each other. The mutual inductance of the pair of coils depends upon the ______.


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?


A toroid is a long coil of wire wound over a circular core. The major radius and cross-sectional radius of the toroid are R and r, respectively. The coefficient of mutual induction of the toroid is ______.

(The magnetic field in it is uniform, N = number of turns, R >> r, μ0 = permeability of free space)


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.


Write the S.I. unit of mutual inductance.


The mutual inductance of a pair of adjacent coils is 1.5 H. If the current is one coil changes from 5 A to 10 A in 0.1 s, the rate of change of magnet flux linkage is ______.


State and define the SI unit of mutual inductance.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×