P.No.15.11:- A square coil of side 16cm has 200 turns and rotates in a uniform magnetic field of magnitude 0.05T.If the peak emf is 12V, what is the angular velocity of the coil.

P.No.15.11:- A square coil of side 16cm has 200 turns and rotates in a uniform magnetic field of magnitude 0.05T.If the peak emf is 12V, what is the angular velocity of the coil.

Solution:-

Given Data:-

          Number of turns                 =     N     =     200

          Magnetic field                     =      B      =    0.05T

          Side of square coil              =      l       =   16cm

P.No.15.10:- Like any field, the earth’s magnetic field stores energy. Find the magnetic energy stored in space where strength of earth’s field is 0.00007T, if the space occupies an area of 100000000 meter square and has a height of 750m.

P.No.15.10:-   Like any field, the earth’s magnetic field stores energy. Find the magnetic energy stored in space where strength of earth’s field is 0.00007T, if the space occupies an area of 100000000 meter square and has a height of 750m.

Solution:-

Given Data:-

P.No.15.9:- When current through a coil changes from 100mA to 200mA in 0.005s, an induced emf of 40mV is produced in the coil (a) what is the inductance of the coil? (b) Find the increase in energy stored in the coil.

P.No.15.9:- When current through a coil changes from 100mA to 200mA in 0.005s, an induced emf of 40mV is produced in the coil (a) what is the inductance of the coil? (b) Find the increase in energy stored in the coil.

Solution:-

Given Data:-

P.No.15.8:- A solenoid of length 8.0cm and cross section area 0.5 cm square has 520 turns. Find the self inductance of the solenoid when the core is air. If the current in the solenoid increases through 1.5A in 0.2s, find the magnitude of induced emf in it.

P.No.15.8:- A solenoid of length 8.0cm and cross section area 0.5  cm square has 520 turns. Find the self inductance of the solenoid when the core is air. If the current in the solenoid increases through 1.5A in 0.2s, find the magnitude of induced emf in it.

Solution:-

P.No.15.7:- A solenoid has 250 turns and its self inductance is 2.4mH. What is the flux through each turn when the current is 2A? What is the induced emf when the current changes at 20A/s? Solution:-

P.No.15.7:- A solenoid has 250 turns and its self inductance is 2.4mH. What is the flux through each turn when the current is 2A? What is the induced emf when the current changes at 20A/s?

Solution:-

Given Data:-

           No. of turns                          =     N       =      250

           Current                                 =      I       =     2A

P.No.15.6:- A pair of adjacent coils has a mutual inductance of 0.75H. If the current in the primary changes from 0 to 10A in 0.025s, what is the average induced emf in the secondary? What is the change in flux in it if the secondary has 500 turns?

P.No.15.6:- A pair of adjacent coils has a mutual inductance of 0.75H. If the current in the primary changes from 0 to 10A in 0.025s, what is the average induced emf in the secondary? What is the change in flux in it if the secondary has 500 turns?

Solution:-

Given Data:-

            Mutual inductance                             =     M      =   0.75H

P.No.15.5:- Two coils are placed side by side. An emf of 0.8V is observed in one coil when the current is changing at the rate of 200 A/s in the other coil. What is the mutual inductance of the coils?

P.No.15.5:- Two coils are placed side by side. An emf of 0.8V is observed in one coil when the current is changing at the rate of 200 A/s in the other coil. What is the mutual inductance of the coils?

Solution:-

Given data:-

P.No.15.4:- A circular coil has 15 turns of radius 2cm each. The plane of the coil lies at 40 degree to a uniform magnetic field of 0.2 T. If the field is increased to 0.5 T in 0.2s, find the magnitude of the induced emf.

P.No.15.4:- A circular coil has 15 turns of radius 2cm each. The plane of the coil lies at 40 degree  to a uniform magnetic field of 0.2 T. If the field is increased to 0.5 T in 0.2s, find the magnitude of the induced emf.

P.No.15.3:- A coil of wire has 10 loops. Each loop has an area of 0.0015 meter spuare. A magnetic field is perpendicular to the surface of each loop at all times. If the magnetic field is changed from 0.05T to 0.06T in 0.1s, find the average emf induced in the coil during this time.

P.No.15.3:- A coil of wire has 10 loops. Each loop has an area of  0.0015 meter spuare. A magnetic field is perpendicular to the surface of each loop at all times. If the magnetic field is changed from 0.05T to 0.06T in 0.1s, find the average emf induced in the coil during this time.

P.No.15.2:- The flux density B in a region between the pole faces of a horse shoe magnet is 0.5 Wb per meter squaredirected vertically downward. Find the emf induced in a straight wire 5.0cm long, perpendicular to B when it is moved in a direction at an angle of 60 degree with the horizontal with a speed of 100cm/s?

Problem No.15.1:- An emf of 0.45V is induced between the ends of a metal bar moving through a magnetic field of 0.22T. What field strength would be needed to produce an emf of 1.5V between the ends of the bar, assuming that all other factors remain the same?

Problem No.15.1:- An emf of 0.45V is induced between the ends of a metal bar moving through a magnetic field of 0.22T. What field strength would be needed to produce an emf of 1.5V between the ends of the bar, assuming that all other factors remain the same?

Solution:-

Given Data:-