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A rectangular conducting loop consists of two wires on two opposite sides of length l joined together by rods of length d. The wires are each of the same material but with cross-sections differing by a factor of 2. The thicker wire has a resistance R and the rods are of low resistance, which in turn are connected to a constant voltage source V0. The loop is placed in uniform a magnetic field B at 45° to its plane. Find τ, the torque exerted by the magnetic field on the loop about an axis through the centres of
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An element `vec(dl)= dxuarr` (where dx = 1 cm) is placed at the origin and carries a large current I = 10 Amp. What is the mag. field on the Y-axis at a distance of 0.5 meter
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A current path shaped as shown in figure produces a mag. field at point 'P', the centre of the arc BC. If the arc subtends an angle of `30^0` and the radius of the arc is 0.6 meter. What is the magnitude of the field at point P if the current is 3 AMP
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The magnetic induction at a point P which is at a distance 4 cm from a long current carrying wire is `10^(-8 )` tesla. The field of induction at a distance 12 cm from the same current would be
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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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When the current flowing in a circular coil is doubled and the number of turns of the coil in it is halved, the magnetic field at its centre will
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Two parallel long wires A and B carry currents I1 and I2 . (I2 < I1 ) when I1 and I2 are in the same direction the mag. field at a point mid way between the wires is 10 µT. If I2 is reversed, the field becomes `30 muT` . The ratio `I_1/ I_2` is
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An electron having mass `9xx 10^(-31)` kg, charge `1.6xx 10^(-19) C` and moving with a velocity of 106 m/s enters a region where mag. field exists. If it describes a circle of radius 0.10 m, the intensity of magnetic field must be ................
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Two thin long parallel wires separated by a distance Y are carrying a current I Amp each. The magnitude of the force per unit length exerted by one wire on their is
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A bar magnet of length 10 cm and having the pole strength equal `00.1xx10^(-3)` to is kept in a magnetic field having magnetic induction (B) equal to `4pixx10^(-3)` tesla. It makes an angle of `30^0` with the direction of magnefic induction. The value of the torque acting on the magnet is ......................
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If the charge on the body is `1 nC`, then how many electrons are present on the
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An electric dipole with dipole moment `4 xx 10^(-9)C-m` is aligned at 30° with the direction of a uniform electric field of magnitude `5 xx 10^4` N/C. Calculate the magnitude of the torque acting on the
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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 of a large liquid drop when eight liquid drops are combined is `20V` , then the potential of each single drop
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Equipotential SurfaceIn physics, the region in space where every point in it is at the same potential, is called equipotential or isopotential. An equipotential region of a scalar potential in three-dimensional space is often an equipotential surface, but it can also be a three-dimensional region in space. The gradient of the scalar potential is everywhere perpendicular to the equipotential surface, and zero inside a three-dimensional equipotential region. In case of electrical conductors, if a and b are any two points within or at the surface of a given conductor, and given there is no flow of charge being exchanged between
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Electric field and current density have
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During charging of a cell terminal voltage i s ................ than emf of
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Assertion: A potentiometer is preferred over a voltmeter for measurement of a cell. Reason: Potentiometer does not draw any current from the
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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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Lorentz Force and Its Effects A charged particle moving in an external magnetic field experiences a force, which is called Lorentz force, i.e. `F=q(v xx B)`,where `q` is the charge on the particle and v is the velocity of the particle. The direction of the force is given by the cross product of velocity vector and magnetic field vector at any time.The charge particle travels in a special trajectory called helical path. Because the force is always perpendicular to the velocity vector, the magnetic field can do no work on an isolate charge. Hence, the linear velocity always remains the
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