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Charge between Parallel Plates Surface charge density is defined as the charge per unit surface area of surface charge distribution, `i.e. sigma = (dq)/(dS)`Two large, thin metal plates are parallel and close to each other. On their inner faces, the plates have surface charge densities of opposite signs having magnitude of `17.0 xx 10^(-22) Cm^(-2)` as shown belowThe intensity of electric field at a point is `E=(sigma)/(epsilon_0)`where, `epsilon_0` = permittivity of free space`E` between the plates
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If `100 J` of work has to be done in moving an electric charge of `4C` from a place, where potential is `- 10V` to another place where potential is `V` volt, find the value of
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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`.The radius of the circle will change
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Magnetic Field of a SolenoidMohan tightly wound a very long copper wire on a PVC pipe and carefully took the pipe out. The two ends of the copper wire then attached to a battery. This cylindrical shape of copper wire showed few properties of a bar magnet. Later he found that it is called a solenoid and this solenoid is used in several devices such as door bell, relay switch etc. The magnetic field of a solenoid is given below.The magnetic field strength of a solenoid having n turns is `B=mu_0nl`, where, `I` is the current flowing in the solenoid.A
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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 .In a moving coil galvanometer, having a coil of A-turns of area A and carrying
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Assertion: Magnetic flux of a magnetic field B passing through an area A is given by the relation `phi= B • A`. Reason: Quantity obtained by product of two vectors is always
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Faraday’s Laws According to the Faraday’s first law, whenever the amount of magnetic flux linked with a circuit changes, an emf is induced in it. Induced current is determined by the rate at which the magnetic flux changes.Mathematically, the magnitude of the induced emf in a circuit is equal to the rate of change of magnetic flux through the circuit.Induced emf `prop` Rate of change of magnetic fluxThe instantaneous magnetic flux linked with a coil is given by `phi= (5t^3 -100t + 300) Wb`. The emf induced in the coil at time `t = 2 s`
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Induced CurrentThe steady current in the coil `C_2` as shown below produces a steady magnetic field. As coil `C_2` is moved towards the coil `C_1`, the galvanometer shows a deflection. This indicates that electric current is induced in coil `C_1`. When `C_2` is moved away, the galvanometer shows a deflection again, but this time in the opposite direction. This deflection is based upon the Faraday’s law of electromagnetic induction.Which of the following statement(s) is/are correct? I. The steady current in the coil `C_2` produces a steady magnetic field. II. If coil `C_2` is moved towards the coil `C_1`, the galvanometer
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The far point of a myopic person is 80 cm in front of the eye. What is the power of the lens required to enable him to see very distant objects
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An electron, an α-particle, and a proton have the same kinetic energy. Which of these particles has the shortest de Broglie
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A particle is moving three times as fast as an electron. The ratio of the de Broglie wavelength of the particle to that of the electron is 1.813 × 10–4. Calculate the particle’s mass and identify the
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A 100W sodium lamp radiates energy uniformly in all directions. The lamp is located at the centre of a large sphere that absorbs all the sodium light which is incident on it. The wavelength of the sodium light is 589 nm. What is the energy per photon associated with
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The expression which shows how and which of the base quantities represent the dimensions of a physical quantity is called the dimensional formula of the given physical quantity. The recognition of concepts of dimensions, which guide the description of physical behaviour is of basic importance as only those physical quantities can be added or subtracted which have the same dimensions. A thorough understanding of dimensional analysis helps us in deducing certain relations among different physical quantities and checking the derivation, accuracy and dimensional consistency or homogeneity of various mathematical expressions. When magnitudes of two or more physical quantities are multiplied,
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What is elementary unit of charge?
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Fig. shows electric field lines in which an electric dipole p is placed as shown. Which of the following statements is
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The variation of induced emf with time in a coil if a short bar magnet is moved along its axis with constant velocity
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Calculate impedance of the given circuit :
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A current-carrying circular loop lies on a smooth horizontal plane. Can a uniform magnetic field be set up in such a manner that the loop turns around itself (i.e., turns about the vertical
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A long straight wire carries a current of 35 A. What is the magnitude of the field B at a point 20 cm from the
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Magnetic field arises due to charges in motion. Can a system have magnetic moments even though its net charge is
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