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JEE Main
IMPORTANT
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A current, I=5.0 A flows along a thin wire shaped as shown in the figure. The radius of a curved part of the wire is equal to R=120 mm, the angle, 2φ=90°. Find the magnetic induction of the field at the point O (permeability of vacuum, μ0=1.257×10-6  H m-1).

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Important Questions on ELECTRODYNAMICS

HARD
JEE Main
IMPORTANT

Find the magnetic induction of the field at the point O of a loop, with current I, whose shape is illustrated.
(a) Question Image

The radii a and b, as well as the angle φ are known.
(b) Question Image

the radius a and the side b are known.

(Permeability of vacuum, μ0=1.257×10-6  H m-1)
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JEE Main
IMPORTANT
A current I flows along a lengthy thin-walled tube of radius R with a longitudinal slit of width h. Find the induction of the magnetic field inside the tube under the condition hR.
HARD
JEE Main
IMPORTANT

A current I flows in a long straight wire with cross-section having the form of a thin half-ring of radius R. Find the induction of the magnetic field at the point O

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HARD
JEE Main
IMPORTANT

Find the magnetic induction of the field at the point O if a current-carrying wire has the shape shown in figure. The radius of the curved part of the wire is R, the linear parts are assumed to be very long.

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HARD
JEE Main
IMPORTANT
A very long wire carrying a current, I=5.0 A is bent at right angles. Find the magnetic induction at a point Iying on a perpendicular to the wire, drawn through the point of bending, at a distance, l=35 cm from it (permeability of vacuum, μ0=1.257×10-6  H m-1).
HARD
JEE Main
IMPORTANT

Find the magnetic induction at the point O, if the wire carrying a current I=8.0 A has the shape shown in the figure.

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The radius of the curved part of the wire is R=100 mm, the linear parts of the wire are very long

(permeability of vacuum, μ0=1.257×10-6  H m-1).
HARD
JEE Main
IMPORTANT

Find the magnitude and direction of the magnetic induction of vector B

a of an infinite plane carrying a current of linear density i^, the vector i^ is the same at all points of the plane, 
b of two parallel infinite planes carrying currents of linear densities i^ and -i^, the vectors i^ and -i^ are constant at all points of the corresponding planes.

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JEE Main
IMPORTANT
A uniform current of density j flows inside an infinite plate of thickness 2d parallel to its surface. Find the magnetic field induced by this current as a function of the distance  x from the median plane of the plate. The magnetic permeability is assumed to be equal to unity both inside and outside the plate.