A long solenoid has a radius `a` and number of turns per unit length is `n`. If it carries a current i, then the magnetic field on its axis is directly proportional to
A
ani
B
ni
C
ni/a
D
`n^2i`
Text Solution
Verified by Experts
The correct Answer is:
B
Topper's Solved these Questions
MAGNETIC EFFECT OF ELECTRIC CURRENT
NIKITA PUBLICATION|Exercise MCQs (Sensitivity and accuracy of M.C.G.)|1 Videos
KINETIC THEORY OF GASES & RADIATION
NIKITA PUBLICATION|Exercise MCQs (Question Given in MHT-CET)|79 Videos
MAGNETISM
NIKITA PUBLICATION|Exercise MCQs|249 Videos
Similar Questions
Explore conceptually related problems
A toroid has number of turns per unit length n , current i , then the magnetic field is
A thin solenoid of length 0.4 m and having 500 turns of wire carries a current 1A ,then find the magnetic field on the axis inside the solenoid.
A very long straight solenoid has a cross section radius R . A number of turns per unit length is equal to n . Find the magnetic induction at the centre of the coil when a current I flows thougth it.
A long solenoid of length L has a mean diameter D . It has n layers of windings of N turns each. If it carries a current ‘i’ the magnetic field at its centre will be
A solenoid of length 0.5 m has a radius of 1 cm and is made up of 500 turns. It carries a current of 5 A. The magnetic field inside the solenoid is
A wire is wound on a long rod of material of relative permeability mu_(r) = 4000 to make a solenoid. If the current through the wire is 5 A and number of turns per unit length is 1000 per metre, then the magnetic field inside the solenoid is
A wire is wound on a long rod of material of relative permeability mu_(r)=4000 to make a solenoid.If the current through the wire is 5A and number of turns per unit length is 1000 per metre,then the magnetic field inside the solenoid is:
An air-solenoid has 500 turns of wire in its 40 cm length. If the current in the wire be 1.0 ampere then the magnetic field on the axis inside the solenoid is -
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 centre of the solenoid due to this circular current. Integrate this expression under proper limits to find the magnetic field at the centre of the solenoid. (b) Verify that if lgtgta , the field tends to (B=(mu_0)ni) and if agtgt1 , the field tends to B= ((mu_0)nil/2a) . Interpret these results.
NIKITA PUBLICATION-MAGNETIC EFFECT OF ELECTRIC CURRENT-MCQs (Sensitivity and accuracy of M.C.G.)