Advertisements
Advertisements
Question
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
Advertisements
Solution
Here, the co-efficient of mutual induction, M = 2H
4A is cut-off in 2.5 × 10-4 seconds.
Induced e.m.f., E = `M(di)/(dt)`
`therefore E = 2Hxx(4A)/(2.5xx10^-4)`
`therefore E = 3.2 xx 10^4V`
APPEARS IN
RELATED QUESTIONS
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.
Define 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 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?
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 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.

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?
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.
The mutual inductance of two coils is 10 mH. If the current in one of the coil changes from 5 A to 1 A in 0.2 s, calculate the emf induced in the other coil. Also calculate the induced charge flowing through the coil if its resistance is 5 Ω.
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.
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 ____________.
In an induction coil, the coefficient of mutual inductance is 6 henry. If a current of 10 ampere in the primary coil is cut-off in `1/1500"s"`, the e.m.f. at the terminals of the secondary coil will be ____________.
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 ______.
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 ______.
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 ______.
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 ______.
- increases when they are brought nearer.
- depends on the current passing through the coils.
- increases when one of them is rotated about an axis.
- 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?
A plane loop is shaped in the form as shown in figure with radii a = 20 cm and b = 10 cm and is placed in a uniform time varying magnetic field B = B0 sin ωt, where B0 = 10 mT and ω = 100 rad/s. The amplitude of the current induced in the loop if its resistance per unit length is equal to 50 × 10-3 Ω/m. The inductance of the loop is negligible is ______ 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)
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.
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 ______.
The mutual inductance between a primary and secondary circuit is 0.4 H and the resistance in these circuits are \[20\Omega\] and \[4\Omega\] respectively. To produce a current of 0.5 A in the secondary, current in the primary must be changed at the rate of ______.
Two coils are placed close to each other. The mutual inductance of the pair of coils depends upon ______.
The value of mutual inductance of two coils is 6 mH. The current in one of the coil changes from 6 A to 1 A in 0.2 second so that e.m.f. is induced in the other coil. If the resistance of the coil is 6 Ω, the value of induced charge passing through the coil is ______.
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 \[I_1\] ?
What is the SI unit of mutual inductance?
Which pair gives other units of mutual inductance?
The Henry, the SI unit of mutual inductance, is named after whom?
Which equivalence correctly states the value of \[1\ \mathrm{H}\] ?
What is the effect of a larger cross-sectional area of the coils on mutual inductance?
What is the effect of winding coils on a soft iron core?
What does the coupling factor \[K\] quantify?
What is the total flux linkage of secondary solenoid \[S_2\] ?
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?
How does wireless charging use mutual inductance?
