Home
Class 12
PHYSICS
a. How is the flux linkage through a coi...

a. How is the flux linkage through a coil related to current?
b. What is the constant of proportionality that appears in the above relation?
c. Define the constant of proportionality
d. Give its dimensions and S.I. unit.

Text Solution

Verified by Experts

a. For a current carrying coil, flux is proportional to current. i.e., `phi_(B)propIorphi_(B)=LI`
b. Coefficient of self induction (L).
c. Self inductance of a coil is the magnetic flux linked with the coil when unit current flows through it.
d. Dimension of `L=[ML^(2)T^(-2)I^(-2)]` and S.I. unit is henry.
Promotional Banner

Topper's Solved these Questions

  • ELECTROMAGNETIC INDUCTION

    NEW JOYTHI PUBLICATION|Exercise CONTINUOUS EVALUATION (ASSIGNMENTS)|2 Videos

  • ELECTROMAGNETIC INDUCTION

    NEW JOYTHI PUBLICATION|Exercise PREVIOUS YEAR QUESTIONS|2 Videos

  • ELECTROMAGNETIC INDUCTION

    NEW JOYTHI PUBLICATION|Exercise PRACTICE PROBLEMS FOR SELF ASSESSMENT|3 Videos

  • ELECTRIC CHARGES AND FIELDS

    NEW JOYTHI PUBLICATION|Exercise Competitive Exam Corner|20 Videos

  • ELECTROMAGNETIC WAVES

    NEW JOYTHI PUBLICATION|Exercise COMPETITIVE EXAM CORNER|16 Videos

Similar Questions

Explore conceptually related problems

The radius of a nucleus is R. a. How is it related to atomic mass (A) ? b. Give the relation . c. What is the value of the constant of proportionality?

Water is drained from a vertical cylindrical tank by opening a valve at the base of the tank. It is known that the rate at which the water level drops is proportional to the square root of water depth y , where the constant of proportionality k >0 depends on the acceleration due to gravity and the geometry of the hole. If t is measured in minutes and k=1/(15), then the time to drain the tank if the water is 4 m deep to start with is (a) 30 min (b) 45 min (c) 60 min (d) 80 min

Water is drained from a vertical cylindrical tank by opening a valve at the base of the tank. It is known that the rate at which the water level drops is proportional to the square root of water depth y , where the constant of proportionality k >0 depends on the acceleration due to gravity and the geometry of the hole. If t is measured in minutes and k=1/(15), then the time to drain the tank if the water is 4 m deep to start with is (a) 30 min (b) 45 min (c) 60 min (d) 80 min

A 100 turn closely wound circular coil of radius 10 cm carries a current of 3.2 A. a. What is the field at the centre of the coil ? b. What is the magnetic moment of this coil ? The coil is placed in a vertical plane and is free to rotate about a horizontal axis which coincides with its diameter. A unifrom magnetic field of 2 T in the horizontal direction exists such that initially the axis of the coil is in the direction of the field. The coil rotates through an angle of 90^@ under the influence of the magnetic field . c. What are the magnitudes of the torques on the coil in the initial and final position ? d. What is the angular speed acqired by the coil when it has rotated by 90^(@) ? The moment of inertia of the coil is 0.1 kg m^2

Spherical rain drop evaporates at a rate proportional to its surface area. The differential equation corresponding to the rate of change of the radius of the rain drop if the constant of proportionality is K >0 is (a) ( b ) (c) (d)(( e ) dy)/( f )(( g ) dt)( h ) (i)+K=0( j ) (k) (b) ( l ) (m) (n)(( o ) d r)/( p )(( q ) dt)( r ) (s)-K=0( t ) (u) (c) ( d ) (e) (f)(( g ) d r)/( h )(( i ) dt)( j ) (k)=K r (l) (m) (d) None of these

Figure. gives a speed-time graph of a particle in motion along a constant direction. Three equal intervals of time are shown. In which interval is the average acceleration greatest in magnitude ? In which interval is the average speed greatest ? Choosing the positive direction as the constant direction of motion, give the signs of v and a in the three intervals. What are the accelerations at the points A, B, C and D ?

The above graph shows frequency of an incident photon and maximum kinetic energy of a photoelectric effect a. What is the value of threshold frequency and threshold wave-length? b. What is the work function of the cathode in eV? c. Find the maximum kinetic energy, if the frequency of photon is 9xx10^(14) Hz. d. Also find the value of Planck's constant (h).

You are given a solenoid of length 'l', number of turns per unit length 'n' and area of cross-section A. When a current 'I' passes through it, a. What is the total magnetic flux through the solenoid? b. What is the self inductance of the solenoid? c. How does the value of self inductance get affected if some material of high relative permeability is filled inside the solenoid?

The radioacitve decay of an element is shown in the graph. a. What is the sort of functional decay shown here? b. What is the change in activity in equal intervals of time? c. Find the half-life. d. Can you find the decay constant? If so, what is its value ?