हिंदी

A solenoid of length π m and 5 cm in diameter has winding of 1000 turns and carries a current of 5 A. Calculate the magnetic field at its center along the axis. - Physics

Advertisements
Advertisements

प्रश्न

A solenoid of length π m and 5 cm in diameter has winding of 1000 turns and carries a current of 5 A. Calculate the magnetic field at its center along the axis.

संख्यात्मक

उत्तर

Data: L= 3.142 m, N = 1000, l = 5A,

μ0 = 4π × 10-7 T m/A 

The magnetic induction,

B = `mu_0 "nI" = mu_0 ("N"/"L")"I"`

`= (4pi xx 10^-7)(1000/3.142)(5) = (20 xx 3.142 xx 10^-4)/3.142`

= 2 × 10-3 T

shaalaa.com
Magnetic Field of a Solenoid and a Toroid
  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 10: Magnetic Fields due to Electric Current - Exercises [पृष्ठ २५०]

APPEARS IN

बालभारती Physics [English] 12 Standard HSC Maharashtra State Board
अध्याय 10 Magnetic Fields due to Electric Current
Exercises | Q 15 | पृष्ठ २५०

संबंधित प्रश्न

What is Solenoid?


What is Toroid?


A solenoid of length 50 cm of the inner radius of 1 cm and is made up of 500 turns of copper wire for a current of 5 A in it. What will be the magnitude of the magnetic field inside the solenoid? 


Magnetic field lines can be entirely confined within the core of a toroid, but not within a straight solenoid Why?


A solenoid of length π m and 5 cm in diameter has a winding of 1000 turns and carries a current of 5 A. Calculate the magnetic field at its centre along the radius.


Using Ampere's Law, derive an expression for the magnetic induction inside an ideal solenoid carrying a steady current.


The length of solenoid is I whose windings are made of material of density D and resistivity p. The winding resistance is R. The inductance of solenoid is
[m = mass of winding wire, µ0 = permeability of free space]


A winding wire which is used to frame a solenoid can bear a maximum of 20 A current. If the length of the solenoid is 80 cm and its cross-sectional radius is 3 cm, then the required length of winding wire is ______ (B = 0.2 T)


A toroid has a core (non-ferromagnetic) of inner radius 25 cm and outer radius 26 cm, around which 2,000 turns of a wire are wound. If the current in the wire is 10 A, the magnetic field inside the core of the toroid will be ______


The ratio of magnetic field and magnetic moment at the centre of a current carrying circular loop is x. When both the current and radius is doubled then the ratio will be ______.


Two toroids 1 and 2 have total number of turns 400 and 200 respectively with average radii 40 cm and 20 cm respectively. If they carry same current I, the ratio of the magnetic fields along the two loops is, ____________.


The magnetic induction along the axis of a toroidal solenoid is independent of ______.


A proton is projected with a uniform velocity 'v' along the axis of a current carrying solenoid, then ____________.


Magnetic induction due to a toroid does not depend upon ______.


A toroid is a long coil of wire wound over a circular core. If 'r' and 'R' are the radii of the coil and toroid respectively, the coefficient of self-induction of the toroid is (The magnetic field in it is uniform and R > > r) ____________.

(N = number of turns of the coil and µ0 = permeability of free space)


The magnetic flux near the axis and inside the air core solenoid of length 60 cm carrying current 'I' is 1.57 × 10-6 Wb. Its magnetic moment will be ______.

(cross-sectional area is very small as compared to length of solenoid, µ0 = 4π × 10-7 SI unit)


Magnetic field at the centre of a circular loop of area 'A' is 'B'. The magnetic moment of the loop will be (µ0 = permeability of free space) ____________.


A long solenoid carrying current 'I1' produces magnetic field 'B1' along its axis. If the current is reduced to 25% and number of turns per cm are increased four times, then new magnetic field 'B2' is ____________.


A toroid has a core of inner radius 20 cm and outer radius 22 cm around which 4200 turns of a wire are wound. If the current in the wire is 10 A. What is the magnetic field inside the core of toroid?


In a current-carrying long solenoid, the field produced does not depend upon ______


A long solenoid has 200 turns per cm and carries a current of 2.5 A. The magnetic field at the center is ______. (µ0 = 4π × 10-7 Wb/m-A)


A current of 10 A passes through a coil having 5 turns and produces magnetic field at the centre of the coil having magnitude 0.5 x 10-4 T. Calculate diameter of the coil.

0 = 4π x 10-7 Wb/Am)  


A current carrying toroid winding is internally filled with lithium having susceptibility `chi` = 2.1 × 10−5. What is the percentage increase in the magnetic field in the presence of lithium over that without it?

Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×