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A short bar magnet placed with its axis at 30° with a uniform external magnetic field of 0.25 T experiences a torque of magnitude equal to 4.5 × 10–2 J. What is the magnitude of magnetic moment of the
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Why does a paramagnetic sample display greater magnetisation (for the same magnetising field) when
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Verify the Gauss’s law for magnetic field of a point dipole of dipole moment m at the origin for the surface which is a sphere of radius
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Verify the Ampere’s law for magnetic field of a point dipole of dipole moment` m = mhatk` . Take C as the closed curve running clockwise along along the x-axis from x = R to x =
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Verify that the cyclotron frequency ω = eB/m has the correct dimensions of
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Describe the motion of a charged particle in a cyclotron if the frequency of the radio frequency (rf) field were
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Two straight long conductors AOB and COD are perpendicular to each other and carry currents I1 and I2 . The magnitude of the mag. field at a point 'P' at a distance 'a' from the point 'O' in a direction perpendicular to the plane ABCD
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As shown in figure ABCD and CDEF planes are kept carrying current I. Each side of the plane is having length '2a'. The magnetic field due to ABCD and CDEF planes at the point P(a, 0, a) is in the
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Two concentric coils each of radius equal to `2pi` cm are placed at right angles to each other. 3 Amp and 4 Amp are the currents flowing in each coil respectively. The magnetic field intensity at the centre of the coils will be ........................
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A magnetic field existing in a region is given by `B=Bo[1+x/l]hatk` . A square Loop of side l and carrying current I is placed with edges (sides) parallel to X-Y axis. The magnitude of the net magnetic force experienced by the Loop is
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A magnet of length 0.1 m and pole strength `10^(-4)` A.m. is kept in a magnetic field of 30 tesla at an angle of `30^0` . The couple acting on it is ...................` xx10^(-4)`
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Electric Dipole An electric dipole is a pair of point charges with equal magnitude and opposite in sign separated by a very small distance. The mid-point of locations of `-q and q` is called the centre of the dipole. The strength of an electric dipole is measured by a vector quantity known as electric dipole moment `(p)` which is the product of the charge `(q)` and separation between the charges `(2l)`.In most molecules, the centres of positive charges and of negative charges lie at the same place, hence their dipole moment is zero. `e.g. CO_2, CH_4`. However, they develop a
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The potential energy of a charged parallel plate capacitor is `U_0`. If a slab of dielectric constant `K` is inserted between the plates, then new potential energy will
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Dielectrics Dielectrics are insulating (non-conducting) materials that can produce electric effect without conduction. Movement of free charges is not possible in a dielectric, so they behave differently.When a dielectric material is kept in an electric field, then the external field induces dipole moment. Due to which, net charges on the surface of the dielectric appears.Molecules that has no permanent dipole moments
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Proton in an Electric Field Potential difference `(DeltaV)` between two points `A and B` separated by a distance `x`, in a uniform electric field `E` is given by `DeltaV =-Ex`, where `x` is measured parallel to the field lines. If a charge `q_0` moves from A to B, the change in potential energy `(DeltaU)` is given as `DeltaU=q_0 DeltaV`. A proton is released from rest in uniform electric field of magnitude `8.0 xx 10^4 Vm^(-1)` directed along the positive X-axis. The proton undergoes a displacement of 0.50 m in the direction of E.Mass of a proton `= 1.66 xx 10^(-27)
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Electric field and current density have
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EMF of a CellAn electric cell is a source of energy that maintains a continuous flow of charge in a circuit. It changes chemical energy into electrical energy. It has two electrodes, positive electrode and negative electrode as shown below.Electric cell has to do some work in maintaining the current through a circuit. The work done by the cell in moving unit positive charge through the whole circuit (including the cell) is called the electromotive force (emf) of the cell. The maximum current that can be drawn from a cell is
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Which of the following statement is correct regarding the Coulomb’s force and Biot-Savart’s
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Assertion: When a charged particle moves in a region of magnetic field such that its velocity is at some acute angle with the direction of field, its trajectory is a helix. Reason: Perpendicular component of velocity causes a rotating centripetal force and parallel component of velocity does not produces any
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Electron Moving in Magnetic Field An electron with a speed `v_0 ( < < c)` moves in a circle of radius `r_0`, in a uniform magnetic field. This electron is able to travel in a circular path as magnetic field is perpendicular to the velocity of the electron. The time required for one revolution of the electron is `T_0`. The speed of the electron is now, doubled to `2v_0`.A charged particle is projected in a magnetic field `B=(2hati + 4 hatj) xx 10^2 T`. The acceleration of the particle is found to be `a=(xhati + 2hatj)ms^(-2)`. Find the value of
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