Home
Class 12
PHYSICS
A thin insulated wire forms a plane spir...

A thin insulated wire forms a plane spiral of `N = 100` tight turns carrying a current I = 8 m A ( milli ampere). The radii of inside and outside turns are equal to a = 50 mm and b = 100 mm, respectively. The magnetic induction at the center of the spiral is

A

`5 mu T`

B

`7 mu T`

C

`8 mu T`

D

`10 mu T`

Text Solution

Verified by Experts

The correct Answer is:
(b) ` 7 mu T`
Promotional Banner

Similar Questions

Explore conceptually related problems

A cirular coil of wire cansiting of 100 turns ,each of readius 8.0 cm carries a current of 0.40 A. What is the magnitude of the magnetic field barB at the centre of the coil ?

Four long, straight wires, each carrying a current of 5.0 A, are placed in a plane as shown in figure . The points of intersection form a square of side 5.0 cm. (a) Find the magnetic field at the centre P of the square. (b) Q_1, Q_2, Q_3 and Q_4 are points situated on the diagonals of the square and at a distance from P that is equal to the length of the diagonal of the square. Find the magnetic fields at these points.

A current carrying wire produces a magnetic field in its surrounding space A. The S.I. unit of magnetic flux density is a. henry b. tesla c. Am^(2) d. A-m B. With the help of a diagram, derive an expression for the magnetic field at the point on the axis of a circular current loop. C. Consider a tightly wound 100 turn coil of radius 10 cm, carrying a current of 1 A. What is the magnitude of the magnetic field at the centre of the coil?

A tightly- wound solenoid of radius a and length l has n turns per unit length. It carries an electric current i. Consider a length dx of the solenoid at a distance x from one end. This contains n dx turns and may be approximated as a circular current I n dx. (a) Write the magnetic field at the center of the solenoid due to this circular current. Integrate this expression under proper limits to find the magnetic field at the center of the solenoid. (b) Verify that if lgtgta , the field tends to (B=(mu_0ni) and if agtgt1 , the field tends to B= ((mu_0)nil/2a) . Interpret these results.

A toroid has a mean radius R equal to 20/pi cm, and a total of 400 turns of wire carrying a current of 2.0 A . An aluminium ring at temperature 280 K inside the toroid provides the core. (a) If the magnetization I is 4.8 xx 10^(-2) A m^(-1) , find the susceptibility of aluminium at 280 K . (b) If the temperature of the aluminium ring is raised to 320 K , what will be the magnetization?

Two circular coils of radii 5.0 cm and 10 cm carry equal currents of 2.0 A. The coils have 50 and 100 turns respectively and are placed in such a way that their planes are perpendicular to each other, what would be the magnitude of the magnetic field B at the centre ?

Two circular coils of radii 5.0 cm and 10 cm carry equal currents of 2.0 A. The coils have 50 and 100 turns respectively and are placed in such a way that their planes as well as the centres coincide. Find the magnitude of the magnetic field B at the common centre of the coils if the currents in the coils are (a) in the same sense (b) in the opposite sense.