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Consider the two idealized systems: (i) a parallel plate capacitor with large plates and small separation and (ii) a long solenoid of length L >> R, radius of cross-section. In (i) E is ideally treated as a constant between plates and zero outside. In (ii) magnetic field is constant inside the solenoid and zero outside. These idealised assumptions, however, contradict fundamental laws as
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Consider the plane S formed by the dipole axis and the axis of earth. Let P be point on the magnetic equator and in S. Let Q be the point of intersection of the geographical and magnetic equators. Obtain the declination and dip angles at P and
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There are two current carrying planar coils made each from identical wires of length L. C1 is circular (radius R ) and C2 is square (side a). They are so constructed that they have same frequency of oscillation when they are placed in the same uniform B and carry the same current. Find a in terms of
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Biot-Savart law indicates that the moving electrons (velocity v) produce a magnetic field B such
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`BrarrR` graph. The mag. field B at a distance r from a long straight wire carrying a current varies with r as shown in
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As shown in figure a conductor carrying a current I. Find the magnetic field intensity at the point
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A straight rod of mass m and length L is suspended from the two idential springs as shown in figure. The spring is streched a distawnce `y_0` due to the weight of the wire. The circuit has total resistance R. when the magnetic field perpendicular to the plane of paper is switched on, springs are observed to extend further by the same distance `y_0` the magnetic strength is
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A closed Loop PQRS carrying a current is placed in a uniform magnetic field. If the magnetic forces on segment PS, SR and RQ are F1 , F2 and F3 respectivley and are in the plane of the paper and along the directions shown, the force on the segment QP is
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A Loop carrying current I lies in XY - plane as shown in the figure. The unit vector `hatk` is comming out of the plane of the paper. The magnetic moment of the current Loop
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The variation of magnetic suceptibility `(chi)` with mognetising field for a paramognetic substance
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If a magnet of pole strength m is divided into four parts such that the length and width of each part is half that of initial one, then the pole strength of each part will
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The dipole moment of a dipole in an uniform external field `E` is p, then the torque `(tau)` acting on the dipole
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An infinite line charge produces a Field of `18 xx 10^4` N/C at `0.02 m`. The linear charge density
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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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Assertion: Five charges `+q` each are placed at Five vertices of a regular pentagon. A sixth charge `-Q`, is placed at the centre of pentagon, then net electrostatic force on `-Q`, is zero. Reason: Net electrostatic potential at the centre is
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Assertion: Capacity of a parallel plate capacitor increases when distance between the plates is increased. Reason: Capacitance of a capacitor is directly proportional to distance between
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Capacitor A device that stores electrical energy in an electric field is known as to be capacitor. It is a passive electronic component with two terminals. It basically consists of two conductors separated by a non-conductive region. This non-conductive region can either be a vacuum or an electrical insulator material known as a dielectric from Coulomb’s law a charge on one conductor will exert a force on the charge carriers within the other conductor, attracting opposite polarity charge and repelling like polarity charges, thus an opposite polarity charge will be induced on the surface of the other conductor. The conductors
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12 cells, each of emf `1.5 V` and internal resistance of `0.5 Omega`, are arranged in `m` rows each containing `n` cells connected in series, as shown in the figure.Calculate the values of `n and m` for which this combination would send maximum current through an external resistance of `1.5
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The potential difference `(V_A - V_B)` between the points A and B in the given figure
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In a Wheatstone bridge circuit, `P=7 Omega, Q= 8 Omega, R = 12 Omega and S = 7 Omega`. Find the additional resistance to be used in series with `S` , so that the bridge is
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