English

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.

Advertisements
Advertisements

Question

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.

Numerical
Advertisements

Solution

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
  Is there an error in this question or solution?
Chapter 10: Magnetic Fields due to Electric Current - Exercises [Page 250]

APPEARS IN

Balbharati Physics [English] Standard 12 Maharashtra State Board
Chapter 10 Magnetic Fields due to Electric Current
Exercises | Q 15. | Page 250

RELATED QUESTIONS

A toroid of a central radius of 10 cm has windings of 1000 turns. For a magnetic field of 5 × 10-2 T along its central axis, what current is required to be passed through its windings?


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.


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 ______


Two current-carrying coils have radii r and 4r and have same magnetic induction at their centres. The ratio of voltage applied across them is ______.


A 600 turn coil of effective area 0.05 m2 is kept perpendicular to a magnetic field 4 x 10-5 T. When the plane of the coil is rotated by 90° around any of its coplanar axis in 0.1 s, the e.m.f. induced in the coil will be: ____________.


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


A solenoid of 1.5 m length and 4 cm diameter possesses 20 turns per m. A current of 6 A is flowing through it. The magnetic induction at axis inside the solenoid is ____________.


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 ______.


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)


A winding wire is used to prepare a solenoid that can bear a maximum current of 10A. If the length of a solenoid is 80 cm and its cross-sectional radius is 3 cm, the required length of winding wire is ____________.

(magnetic field B = 0.2 T, µ0 = 4 x 10-7 SI units)


A charged particle carrying a charge 'q' and moving with velocity V, enters into a solenoid carrying a current T, along its axis. If 'B' is the magnetic induction along the axis of a solenoid, then the force 'F' acting on the charged particle will be ____________.


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 straight solenoid has 50 turns per cm in primary and 200 turns per cm in the secondary. The area of cross-section of the solenoid is 4 cm2. The mutual inductance is ______.


For a solenoid and a toroid, the number of turns per unit length is n and the respective interior volume is V. The self inductance is proportional to n2 and V for ______.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×