Advertisements
Advertisements
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
Advertisements
उत्तर
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
संबंधित प्रश्न
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.
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.
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?
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.
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 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.
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 ____________.
In mutual induction, the main current remains same because ____________.
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 ____________.
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)
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 ______.
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)
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 ______.
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 ______.
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.
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.
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) ______.
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?
What is the coefficient of coupling (K ) between two coils?
Which formula relates mutual inductance, coefficient of coupling, and the self-inductances of coil 1 and coil 2?
What maximum value of \[M\] follows from \[M=K\sqrt{L_1L_2}\] and \[0\leq K\leq 1\] ?
Which dimensional formula applies to mutual inductance?
Which pair gives other units of mutual inductance?
Which equivalence correctly states the value of \[1\ \mathrm{H}\] ?
How does increasing the number of turns \[N_1\] and \[N_2\] affect mutual inductance?
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 is the total flux linkage of secondary solenoid \[S_2\] ?
What is \[M_{21}\] for two coaxial solenoids with the smaller solenoid inside the larger?
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?
Which definition relates the flux through the inner coil to the current in the outer coil?
How does wireless charging use mutual inductance?
How does an induction cooktop use mutual inductance?
