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For an LCR circuit driven at frequency ω, the equation reads`L (dl)/(dt)+Ri+q/c= V_i= V_m sinωt` Multiply the equation by i and simplify where
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A rectangular loop with a sliding rod of length 2m & resistance `2Omega`. It moves in a uniform magnetic field of 3T perpendicular to plane of loop. The external force required to keep the rod moving with constant velocity of `2ms^(-1)`
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In transformer, core is made of soft iron to
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A primary winding of transformer has 500 turns whereas its secondary has 5000 turns. Primary is connected to ac supply of 20V, 50Hz The secondary output
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In an ac circuit the emf (e) and the current (i) at any instant core given respectively by `e = E_O sinomegat`, `I= I_o sin (ωt- φ)` The average power in the circuit over one cycle of ac
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The instanteneous value of current in an A.C. circuit is `I= 2sin (100pi t+pi/3)A`. The current will be maximum for the first time
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The Equation of current in AC circuit is `I=4sin[100pi+pi/3] A` . Calculate. (i) RMS Value (ii) Peak Value (iii) Frequency (iv) Initial phase (v) Current at `t =
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What will be its, reactance when connected in DC circuit? What is its
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In a L–C circuit parallel combination of inductance of 0.01 H and a capacitor of `1muF` is connected to a variable frequency alternating current source as shown in figure. Draw a rough sketch of the current variation as the frequency is changed from 1kHz to
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A choke coil and a resistance are connected in series in an a.c circuit and a potential of 130 volt is applied to the circuit. If the potential across the resistance is 50 V. What would be the potential difference across the choke
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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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A time varying voltage `V=2t` volt is applied across an ideal inductor of inductance `L=2H` as shown in figure. Then select incorrect
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A horizontal overhead power line carries a current of 90 A in east to west direction. What is the magnitude and direction of the magnetic field due to the current 1.5 m below the
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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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Answer the following questions regarding earth’s magnetism: A vector needs three quantities for its specification. Name the three independent quantities conventionally used to specify the earth’s magnetic
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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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A long straight horizontal cable carries a current of 2.5 A in the direction 10° south of west to 10° north of east. The magnetic meridian of the place happens to be 10° west of the geographic meridian. The earth’s magnetic field at the location is 0.33 G, and the angle of dip is zero. Locate the line of neutral points (ignore the thickness of the cable)? (At neutral points, magnetic field due to a current-carrying cable is equal and opposite to the horizontal component of earth’s magnetic
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A telephone cable at a place has four long straight horizontal wires carrying a current of 1.0 A in the same direction east to we earth’s magnetic field at the place is 0.39 G, and the angle of dip is 35°. The magnetic declination is nearly zero. What are the resultant magnetic fields at points 4.0 cm below the
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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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