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An LC circuit contains a 20mH inductor and a `50muF` capacitor with an initial charge of 10mC. The resistance of the circuit is negligible. Let the instant the circuit is closed to be `t = 0.`At what time is the energy stored is completely
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The potential difference V and current I flowing through the AC circuit is given by `V=5 cos(omegat –pi/6)` volt `and I = 10sinomegat` ampere. The average power dissipated in the circuit
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What happens if a bar magnet is cut into two pieces: (a) transverse to its length, (b) along its
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The diagrams given in Fig. show magnetic field lines (thick lines in the figure) wrongly. Point out what is wrong with them.
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The diagrams given in Fig. show magnetic field lines (thick lines in the figure) wrongly. Point out what is wrong with them.
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In the magnetic meridian of a certain place, the horizontal component of the earth’s magnetic field is 0.26G and the dip angle is 60°. What is the magnetic field of the earth at this
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A bar magnet of magnetic moment 1.5 J T –1 lies aligned with the direction of a uniform magnetic field of 0.22 T.(i) What is the amount of work required by an external torque to turn the magnet so as to align its magnetic moment: (a) normal to the field direction, (b) opposite to the field direction?(ii) What is the torque on the magnet in cases (a) and
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Would the maximum possible magnetisation of a paramagnetic sample be of the same order of magnitude as the magnetisation of a
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A toroid of n turns, mean radius R and cross-sectional radius a carries current I. It is placed on a horizontal table taken as x-y plane. Its magnetic moment
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A long solenoid has 1000 turns per metre and carries a current of 1 A. It has a soft iron core of μr = 1000. The core is heated beyond the Curie temperature,
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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 the z-axis from z = a > 0 to z =
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Two charged particles traverse identical helical paths in a completely opposite sense in a uniform magnetic field B = `B_0
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In a cyclotron, a charged
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Consider a circular current-carrying loop of radius R in the x-y plane with centre at origin. Consider the line intergral ` ℑ (L) = |∫_(-L)^L B dl| ` taken along z-axis. Use an appropriate Amperian loop to show that ` ℑ ∞ = μ_0I` , where I
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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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A conducting rod of 1 meter length and 1 kg mass is suspended by two vertical wires through its ends. An external magnetic field of 2 Tesla is applied normal to the rod. Now the current to be passed through the rod so as to make the tension in the wires zero is [take g = 10
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Circular loop of a wire and a long straight `I_C` , `I_E` respectively as shown in fig. Assuming that these are placed in the same plane. The mag. field will be zero at the centre of the Loop when separation H is
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Two similar coils are kept mutually perpendicular such that their centres coinside. At the centre, find the ratio of the mag. field due to one coil and the resultant magnetic field by both coils, if the same current is
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The mag. field due to a current carrying circular Loop of radius 3 cm at a point on the axis at a distance of 4 cm from the centre is `54mu T` what will be its value at the centre of the
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A solenoid of 1.5 meter length and 4 cm diameter possesses 10 turn per cm. A current of 5 Amp is flowing through it. The magnetci induction at axis inside the solenoid
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