मराठी
महाराष्ट्र राज्य शिक्षण मंडळएचएससी विज्ञान (सामान्य) इयत्ता १२ वी

A toroid of 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?

Advertisements
Advertisements

प्रश्न

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?

A toroid of narrow radius of 10 cm has 1000 turns of wire. For a magnetic field of 5 × 10-2 T along its axis, how much current is required to be passed through the wire?

बेरीज
Advertisements

उत्तर

Data: Central radius, r = 10 cm= 0.1 m, N = 1000,

B = 5 × 10-2 T, µ0 = 4π × 10-7 T·m/A

The magnetic induction,

B = `(mu_0"NI")/(2pi"r") = mu_0/(4pi) (2"NI")/"r"`

∴ `5 xx 10^-2 = 10^-7 xx (2(1000)"I")/0.1`

∴ l = `50/2 = 25` A

shaalaa.com
  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 10: Magnetic Fields due to Electric Current - Exercises [पृष्ठ २५०]

APPEARS IN

बालभारती Physics [English] Standard 12 Maharashtra State Board
पाठ 10 Magnetic Fields due to Electric Current
Exercises | Q 16 | पृष्ठ २५०

संबंधित 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.


What is Solenoid?


What is Toroid?


A toroid of 4000 turns has an outer radius of 26 cm and an inner radius of 25 cm. If the current in the wire is 10 A. Calculate the magnetic field of the toroid. 


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 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 ______.


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 ____________.


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)


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 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 ______


Obtain an expression for magnetic induction of a toroid of ‘N’ turns about an axis passing through its centre and perpendicular to its plane.


A conducting rod along the equator is 1 m long and carries a current of 15 A from east to west. The magnitude of Earth's magnetic field at the equator is `4/3 xx 10^(-4)` T. The magnitude and direction of the force on the rod are ______.


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×