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A circular coil of 16 turns and radius 10 cm carrying a current of 0.75 A rests with its plane normal to an external field of magnitude 5.0 × 10–2 T. The coil is free to turn about an axis in its plane perpendicular to the field direction. When the coil is turned slightly and released, it oscillates about its stable equilibrium with a frequency of 2.0 s–1. What is the moment of inertia of the coil about its axis of
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Is the permeability of a ferromagnetic material independent of the magnetic field? If not, is it more for lower or higher
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The magnetic moment vectors µs and µl associated with the intrinsic spin angular momentum S and orbital angular momentum l, respectively, of an electron are predicted by quantum theory (and verified experimentally to a high accuracy) to be given by: µs = –(e/m) S, µl = –(e/2m)l Which of these relations is in accordance with the result expected classically? Outline the derivation of the classical
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The magnetic field of Earth can be modelled by that of a point dipole placed at the centre of the Earth. The dipole axis makes an angle of 11.3° with the axis of Earth. At Mumbai, declination is nearly zero.
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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 quarter circle of radius a and centre at the origin in the first quadrant of x-z
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What are the dimensions of χ, the magnetic susceptibility? Consider an H-atom. Guess an expression for χ, upto a constant by constructing a quantity of dimensions of χ, out of parameters of the atom: e, m, v, R and 0 μ . Here, m is the electronic mass, v is electronic velocity, R is Bohr radius. Estimate the number so obtained and compare with the value of χ ~10–5 for many solid
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A uniform conducting wire of length 12a and resistance R is wound up as a current carrying coil in the shape of (i) an equilateral triangle of side a; (ii) a square of sides a and, (iii) a regular hexagon of sides a. The coil is connected to a voltage source V0. Find the magnetic moment of the coils in each
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A long solenoid has 200 turns per cm and carries a current of 2.5 Amp. The mag. field at its centre is ......................
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A Galvanometer coil has a resistance of `15Omega` and gives full scale deflection for a current of 4 mA. To convert it to an ammeter of range 0 to 6
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A conducting circular loop of radius a carries a constant current I. It is placed in a uniform magnetic field `vecB`, such that `vecB` is perpendicular to the plane of the Loop. The magnetic force acting on the Loop is
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Forces exerted by a uniform electric field on an electron having mass `m_e` and proton of mass `m_p` are represented as `F_e and F_p` respectively are related
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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.In the absence of electric field, the net dipole moment of a polar dielectric
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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. When two electrodes (positive and negative) of a cell are immersed in an electrolytic solution, the charges are exchanged
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Wheatstone Bridge In 1845 by German physicist Gustav Kirchhoff described Kirchhoff’s circuit laws which are two equalities that deal with the current and potential difference (commonly known as voltage) in the lumped element model of electrical circuits.As an application of these laws, consider the circuit shown below, which is called the Wheatstone bridge. This bridge consists of four resistors `R_1, R_2, R_3 and R_4`. Across one pair of diagonally opposite points (A and C in the figure) a source is connected.This (i.e., AC) is called the battery arm. Between the other two vertices, B and Z), a galvanometer G (which
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Wheatstone Bridge In 1845 by German physicist Gustav Kirchhoff described Kirchhoff’s circuit laws which are two equalities that deal with the current and potential difference (commonly known as voltage) in the lumped element model of electrical circuits.As an application of these laws, consider the circuit shown below, which is called the Wheatstone bridge. This bridge consists of four resistors `R_1, R_2, R_3 and R_4`. Across one pair of diagonally opposite points (A and C in the figure) a source is connected.This (i.e., AC) is called the battery arm. Between the other two vertices, B and Z), a galvanometer G (which
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A small circular flexible loop of wire of radius `r` carries a current `I`. It is placed in a uniform magnetic field B. The tension in the loop will be doubled, if .......... is
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A charged particle with some initial velocity is projected in a region where non-zero electric and/or magnetic field(s) are present.In Column I, information about the existence of electric and/or magnetic field(s) and direction of initial velocity of charged particle are given, while in Column II the probable path of the charged particle is mentioned. Match the entries of Column I with the entries of Column II and select the correct answer from the codes given below. Column I Column II A. `E=0, B!=0, E!= B` and initial velocity is at any angle with `B (theta!=90°)`
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Assertion: If we increase the current sensitivity of a galvanometer by increasing number of turns, its voltage sensitivity also increases. Reason: Resistance of a wire also increases with
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Moving Coil GalvanometerMoving coil galvanometer operates on Permanent Magnet Moving Coil (PMMC) mechanism and was designed by the scientist D’arsonval.Moving coil galvanometers are of two types (i) Suspended coil (ii) Pivoted coil type or tangent galvanometer.Its working is based on the fact that when a current carrying coil is placed in a magnetic field, it experiences a torque. This torque tends to rotate the coil about its axis of suspension in such a way that the m agnetic flux passing through the coil is maximum .The deflection in a moving coil galvanometer
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Earth’s Magnetic FieldThe magnetic field lines of the earth resemble that of a hypothetical magnetic dipole located at the centre of the earth. The axis of the dipole is presently tilted by approximately 11.3° with respect to the axis of rotation of the earth.The pole near the geographic north pole of the earth is called the north magnetic pole and the pole near the geographic south pole is called south magnetic pole.The value of angle of dip is zero at the magnetic equator because on
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