HARD
JEE Advanced
IMPORTANT
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A disc of radius R rotates with constant angular velocity $\omega$ about its own axis. Surface charge density of this disc varies as σ=αr2 where, r is the distance from the centre of disc. Determine the magnetic field intensity at the centre of disc.

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Important Questions on Magnetic Effects of Current

MEDIUM
JEE Advanced
IMPORTANT
A particle of mass m and having a positive charge q is projected from the origin with speed v along the positive x-axis in a magnetic field B=-Bk^ where, B is a positive constant. If the particle passes through 0, y, 0, then y is equal to
MEDIUM
JEE Advanced
IMPORTANT
A rigid circular loop of radius r and mass m lies in the xy-plane on a flat table and has a current i flowing in it. At this particular place, the earth's magnetic field is B=Bxi^+Bzk^. The value of i so that the loop starts tilting is
MEDIUM
JEE Advanced
IMPORTANT
Two circular coils 1 and 2 are made from the same wire but the radius of the 1st coil is twice that of the 2nd coil. What is the ratio of potential difference applied across them, so that the magnetic field at their centres is the same?
MEDIUM
JEE Advanced
IMPORTANT

A circular loop of mass m and radius r is lying in a horizontal (X-Y plane) table as shown in figure. A uniform magnetic field B is applied parallel to x-axis. The current I in the loop, so that its one edge just lifts from the table, is

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MEDIUM
JEE Advanced
IMPORTANT
A charged particle with specific charge (charge per unit mass =qm=s) moves undeflected through a region of space containing mutually perpendicular and uniform electric and magnetic fields E and B. When the electric field E is switched off, the particle will move in a particular path of radius
MEDIUM
JEE Advanced
IMPORTANT

A wire bent in the form of a regular polygon of n sides, is inscribed in a circle of radius a. If i ampere is the current flowing in the wire, then the magnetic flux density (magnetic field) at the centre of the circle is

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MEDIUM
JEE Advanced
IMPORTANT
A circular flexible loop of wire of radius r carrying a current I is placed in a uniform magnetic field B perpendicular to the plane of the circle so that, wire comes under tension. If B is doubled, tension in the loop
EASY
JEE Advanced
IMPORTANT
An electron moves in a circular orbit with a uniform speed v. It produces a magnetic field B at the centre of the circle. The radius of the circle is proportional to