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A magnetic field B is confined to a region r ≤ a and points out of the paper (the z-axis), r = 0 being the centre of the circular region. A charged ring (charge = Q) of radius b, b > a and mass m lies in the x-y plane with its centre at the origin. The ring is free to rotate and is at rest. The magnetic field is brought to zero in time Δt. Find the angular velocity ω of the ring after the field
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A rod of mass m and resistance R slides smoothly over two parallel perfectly conducting wires kept sloping at an angle θ with respect to the horizontal (Fig. ). The circuit is closed through a perfect conductor at the top. There is a constant magnetic field B along the vertical direction. If the rod is initially at rest, find the velocity of the rod as a function of
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Find the current in the sliding rod AB (resistance = R) for the arrangement shown in Fig . B is constant and is out of the paper. Parallel wires have no resistance. v is constant. Switch S is closed at time t =
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Find the current in the sliding rod AB (resistance = R) for the arrangement shown in Fig . B is constant and is out of the paper. Parallel wires have no resistance. v is constant. Switch S is closed at time t = 0.
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A metallic ring of mass m and radius l (ring being horizontal) is falling under gravity in a region having a magnetic field. If z is the vertical direction, the z-component of magnetic field is `B_z = B_o (1+λ z)`. If R is the resistance of the ring and if the ring falls with a velocity v, find the energy lost in the resistance. If the ring has reached a constant velocity, use the conservation of energy to determine v in terms of m, B, λ and acceleration due to gravity
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A long solenoid ‘S’ has ‘n’ turns per meter, with diameter ‘a’. At the centre of this coil we place a smaller coil of ‘N’ turns and diameter ‘b’ (where b < a). If the current in the solenoid increases linearly, with time, what is the induced emf appearing in the smaller coil. Plot graph showing nature of variation in emf, if current varies as a function of mt2 +
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If the rms current in a 50 Hz ac circuit is 5 A, the value of the current 1/300 seconds after its value becomes zero
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An alternating current generator has an internal resistance Rg and an internal reactance Xg. It is used to supply power to a passive load consisting of a resistance Rg and a reactance XL. For maximum power to be delivered from the generator to the load, the value of XL is equal
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When a voltage measuring device is connected to AC mains, the meter shows the steady input voltage of 220V. This
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To reduce the reasonant frequency in an LCR series circuit with a
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Which of the following combinations should be selected for better tuning of an LCR circuit used for
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An inductor of reactance 1 Ω and a resistor of 2 Ω are connected in series to the terminals of a 6 V (rms) a.c. source. The power dissipated in the circuit
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The output of a step-down transformer is measured to be 24 V when connected to a 12 watt light bulb. The value of the peak current
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As the frequency of an ac circuit increases, the current first increases and then decreases. What combination of circuit elements is most likely to comprise the
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In an alternating current circuit consisting of elements in series, the current increases on increasing the frequency of supply. Which of the following elements are likely to constitute the circuit
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Electrical energy is transmitted over large distances at high alternating voltages. Which of the following statements is (are)
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For an LCR circuit, the power transferred from the driving source to the driven oscillator is `P=I^2
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When an AC voltage of 220 V is applied to the capacitor
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The line that draws power supply to your house from street
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If a LC circuit is considered analogous to a harmonically oscillating spring block system, which energy of the LC circuit would be analogous to potential energy and which one analogous to kinetic
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