EASY
Earn 100
Field inside a solenoid is:
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Important Questions on Magnetic Effect of Electric Current
MEDIUM
Find out the expression for the magnetic field at a point on the axis of a toroid of turns having an average radius and carrying a current . Show that the magnetic field at the open space inside and outside the toroid is zero.
HARD
A short solenoid (length and radius with turns per unit length) lies well inside and on the axis of a very long, coaxial solenoid (length , radius and turns per unit length, with ). Current follows in the short solenoid. Choose the correct statement.
HARD
An electron gun is placed inside a long solenoid of radius on its axis. The solenoid has turns/length and carries a current The electron gun shoots an electron along the radius of the solenoid with speed If the electron does not hit the surface of the solenoid, maximum possible value of is (all symbols have their standard meaning):
EASY
A toroid has an iron core with an internal magnetic field of , when the current in the winding of 1500 turns per meter is . Deternine the field due to magnetization
MEDIUM
A steady current flows down a long rod of radius in such a way that its current density where is a positive constant of appropriate dimensions, is the radial distance from the axis and is the unit vector along the radial direction. Then the magnitude of the magnetic field at any point inside the rod is
EASY
A toroid has turns per unit length. If it carries a current of , the magnetic energy density inside the toroid is
MEDIUM
A long cylindrical wire of radius carries a uniform current flowing through it. The variation of magnetic field with distance from the axis of the wire is shown by
EASY
A galvanometer coil has 500 turns and each turn has an average area of . If a torque of is required to keep this coil parallel to a magnetic field when a current of is flowing through it, the strength of the field (in ) is _________ .
MEDIUM
A magnetic field of () is required, which is uniform in a region of linear dimension about and area of cross-section about . The maximum current-carrying capacity of a given coil of wire is , and the number of turns per unit length that can be wound around a core is at most . Suggest some appropriate design particulars of a solenoid for the required purpose. Assume the core is not ferromagnetic.
HARD
If B and E denote induction of magnetic field and energy density at the mid-point of a long solenoid carrying a current I, then which of the following graph is correct-
MEDIUM
A solenoid long has turns on it and is wound on an iron rod of radius. Find the flux through the solenoid when the current in it is . The relative permeability of iron is .
MEDIUM
A toroid has a core (non-ferromagnetic) of inner radius and outer radius , around which turns of a wire are wound. If the current in the wire is , what is the magnetic field outside the toroid, inside the core of the toroid? Take,
EASY
A solenoid of length and a radius of cross-section has turns of wire wound over it. If the current carried is the magnetic field on its axis, near the centre of the solenoid is approximately (permeability of free space )
MEDIUM
A closely wound solenoid long has layers of windings of turns each. The diameter of the solenoid is . If the current carried is , estimate the magnitude of inside the solenoid near its centre.
EASY
A solenoid of 1.5 m length and 4.0 cm diameter has 10 turns per cm. A current of 5 A is flowing through it. The magnetic field induction at axis inside the solenoid is
MEDIUM
A solenoid consists of 100 turns of wire and has a length of 10.0 cm. The magnetic field inside the solenoid when it carries a current of 0.500 A will be
EASY
A solenoid long and in diameter possesses . A current of flows through it. The magnetic field at the axis inside the solenoid is
MEDIUM
A solenoid consists of 100 turns of wire and has a length of 10.0 cm. The magnetic field inside the solenoid when it carries a current of 0.500 A will be
MEDIUM
The turns of a solenoid, designed to provide a given magnetic flux density along its axis, are wound to fill the space between two concentric cylinders of fixed radii. How should the diameter of the wire used be chosen so as to minimize the heat dissipated in the windings?
EASY
A wire is wound on a long rod of the material of relative permeability to make a solenoid. If the current through the wire is and the number of turns per unit length is , then the magnetic field inside the solenoid is :
