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The radius of a coil decreases steadily at the rate of `10^(–2)` m/s. A constant and uniform magnetic field of induction `10^(–3) Wb'/'m^2` acts perpendicular to the plane of the coil. The radius of the coil when the induced e.m.f. in the coil is `1muV`, is
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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 circular coil of 500 turns encloses an area of `0.04 m^2`. A uniform magnetic field of induction `0.25 Wb'/'m^2` is applied perpendicular to the plane of the coil. The coil is rotated by 90° in 0.1 second at a constant angular velocity about one of its diameters. A galvanometer of resistance `25Omega` was connected in series with the the coil. The total charge that will pass through the galvanometer is
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A condenser of capacity `6 µF` is fully charged using a 6-volt battery. The battery is removed and a resistanceless 0.2 mH inductor is connected across the condenser. The current which is flowing through the inductor when one-third of the total energy is in the magnetic field of the inductor is
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For the circuit shown, which of the following statement(s) is(are)
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In the circuit shown the capacitor has charge Q. At `t=0` sec the key is closed. The charge on the capacitor at the instant potential difference across the inductor `L_1` is zero,
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The figure shows a rod of length `l` with points A and B on it. The rod is moved in a uniform magnetic field `(B_0)` in different ways as shown. In which case potential difference `(V_A–V_B)` between `A & B` is
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A bent rod `PQR (PQ = QR =l)` shown here is rotating about its end P with angular speed `omega` in a region of transverse magnetic field of strength
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A conducting loop is kept so that its center lies at the origin of the coordinate system. A magnetic field has the induction B pointing along Z-axis as shown in the
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Initially key was placed on (1) till the capacitor got fully charged. Key is placed on (2) at `t=0`. The time when the energy in both capacitor and inductor will be
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For an LCR series circuit, phasors of current i and applied voltage `V=V_0 sinomegat` are shown in diagram at `t =0`. Which of the following is/are
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A cylindrical space of radius R is filled with a uniform magnetic induction B parallel to the axis of the cylinder. If `(dB)/(dt) =` constant, the graph, showing the variation of induced electric field with distance r from the axis of cylinder, isConsider a conducting circular loop placed in a magnetic field as shown in figure. When magnetic field changes with time, magnetic flux also changes and emf `e=-(dphi)/(dt)` is induced. If resistance of loop is R then induced current is `i=e/R`. For current, charges must have non–zero average velocity. Magnetic force cannot make the stationary charges to move. Actually
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A square conducting loop is placed in the time varying magnetic field `((dB)/(dt)=+'ve constant')`.The centre of square coincides with axis of cylindrical region of magnetic field. The directions of induced electric field at point a, b and c.Consider a conducting circular loop placed in a magnetic field as shown in figure. When magnetic field changes with time, magnetic flux also changes and emf `e=-(dphi)/(dt)` is induced. If resistance of loop is R then induced current is `i=e/R`. For current, charges must have non–zero average velocity. Magnetic force cannot make the stationary charges to move. Actually there is an induced electric
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A line charge `lambda` per unit length is pasted uniformly onto the rim of a wheel of mass m and radius R. The wheel has light non–conducting spokes and is free to rotate about a vertical axis as shown in figure.A uniform magnetic field B exist as shown in figure. What is the angular velocity of the wheel when the field is suddenly switched off?Consider a conducting circular loop placed in a magnetic field as shown in figure. When magnetic field changes with time, magnetic flux also changes and emf `e=-(dphi)/(dt)` is induced. If resistance of loop is R then
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The emf across `AB` at `t=l/(2v)` isA conducting square wire frame ABCD of side `l` is pulled by horizontal force so that it moves with constant velocity v. A uniform magnetic field of strength B is existing perpendicular to the plane of wire. The resistance per unit length of wire is `lambda` and negligible self inductance. If at `t= 0,` frame is just at the boundary of magnetic field.
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Potential difference across BC at time `t=l/(2v)` isA conducting square wire frame ABCD of side `l` is pulled by horizontal force so that it moves with constant velocity v. A uniform magnetic field of strength B is existing perpendicular to the plane of wire. The resistance per unit length of wire is `lambda` and negligible self inductance. If at `t= 0,` frame is just at the boundary of magnetic field.
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Find the applied horizontal force on BC, (F) as a function of time `'t' (t < l/v)`A conducting square wire frame ABCD of side `l` is pulled by horizontal force so that it moves with constant velocity v. A uniform magnetic field of strength B is existing perpendicular to the plane of wire. The resistance per unit length of wire is `lambda` and negligible self inductance. If at `t= 0,` frame is just at the boundary of magnetic field.
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Magnetic flux in a circular coil of resistance `10Omega` changes with time as shown in figure. `ox` direction indicates a direction perpendicular to paper inwards. Column–I Column–II (A) At 1 second induced current is (P) Clockwise (B) At 5 second induced current is (Q) Anticlockwise (C) At 9 second induced current is (R) 0.5 A (D) At 15 second induced current is (S) 5 A (T) None of these
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In the circuit shown in figure `E=25V, L=2H, C=60 muF, R_1 = 5Omega and R_2=10Omega`. Switch S is closed at `t = 0.` Column-I Column-II (A) Current through `R_1` at t = 0 (P) 0 (B) Current through `R_2` at t = 0 (Q) 5A (C) Current through `R_1` at `t =oo` (R) 2.5 A (D) Current through `R_2` at `t =oo` (S) 7.5 A (T) None of these
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An inductor `(X_L=2Omega)` a capacitor `(X_C=8Omega)` and a resistance `(8Omega)` is connected in series with an ac source. The voltage output of A.C source is given by `V=10 cos 2pi50t`. Find the instantaneous p.d. between A and B when the voltage output from source is half of its
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