Physics-12 : 6: Electromagnetic Induction - Flashcards
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What is responsible for the induction of current in Faraday's experiments?
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The relative motion between the magnet and the coil, or a changing magnetic field.
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| # | Question | Answer |
|---|---|---|
| 1 | What is responsible for the induction of current in Faraday's experiments? | The relative motion between the magnet and the coil, or a changing magnetic field. |
| 2 | What is magnetic flux? | The flux of the magnetic field \( \mathbf{B} \) through a surface — for a plane of area \( A \) in a uniform field, \( \Phi_B = \mathbf{B}\cdot\mathbf{A} = BA\cos\theta \), where θ is the angle between \( \mathbf{B} \) and the area vector \( \mathbf{A} \). |
| 3 | What is the SI unit of magnetic flux? | Weber (Wb) or T m². |
| 4 | Is magnetic flux a scalar or vector quantity? | Scalar. |
| 5 | Can a strong magnet induce a current in a stationary closed loop? | No. The magnetic flux must change. |
| 6 | What is the emf induced in a rotating rod of length \( R \) in a magnetic field \( B \) with angular velocity \( \omega \)? | \( \varepsilon = \frac{1}{2} B \omega R^2 \). |
| 7 | What is mutual inductance? | The inductance of one coil with respect to another due to the magnetic field of the second coil. |
| 8 | What is the mutual inductance of two long co-axial solenoids? | \( M = \mu_0 n_1 n_2 \pi r_1^2 l \). |
| 9 | What is the self-inductance of a long solenoid? | \( L = \mu_0 n^2 A l \). |
| 10 | What is the energy stored in an inductor? | \( U = \frac{1}{2} LI^2 \). |
| 11 | What is the frequency of the induced emf in an AC generator? | Equal to the frequency of rotation of the coil. |
| 12 | What is Faraday's law? | \( \varepsilon = -N \frac{d\Phi_B}{dt} \). |
| 13 | A 1.0 m long metallic rod is rotated at 400 rad/s in a magnetic field of 0.5 T. What is the emf developed between the centre and the ring? | 100 V. |
| 14 | A rectangular loop of sides 8 cm and 2 cm moves out of a magnetic field of 0.3 T at 1 cm/s. What is the induced emf when moving normal to the longer side, and how long does it last? | \( \varepsilon = Bvl = 0.3\times0.01\times0.08 = 0.24 \) mV, using the longer (8 cm) side as the length \( l \) that cuts the field lines; it lasts \( 0.02/0.01 = 2 \) s, the time for the loop to cross the shorter (2 cm) dimension. |
| 15 | What is the induced emf when a circular loop is deformed into a straight wire in a magnetic field? | The induced emf opposes the decrease in flux. |
| 16 | In Experiment 6.1, does it matter whether the magnet moves towards a stationary coil, or the coil moves towards a stationary magnet? | No — the same deflection is observed either way, since it is the relative motion between the magnet and the coil that induces the current, not which one is actually moving. |
| 17 | When a person does work moving a bar magnet against the repulsive force exerted by the current it induces in a coil, where does that energy go? | It is dissipated as Joule heating produced by the induced current in the coil. |
| 18 | What is the electrostatic analog of (self-)inductance? | Capacitance — both depend on the circuit element's geometry (coil shape for \( L \); plate area and separation for \( C \)) and on an intrinsic material property (relative permeability \( \mu_r \) for \( L \); dielectric constant \( K \) for \( C \)). |
| 19 | What energy conversion does an ac generator perform? | It converts mechanical energy (used to rotate the armature) into electrical energy. |
| 20 | What is the SI unit of induced emf? | Volt (V). |
| 21 | Solenoids A and B are made of the same magnetic material (relative permeability \( \mu_r \)) and have equal cross-sectional area. The length of A is twice that of B, and A has half as many turns per unit length as B. What is \( L_A:L_B \)? (NEET 2024, Re-exam) | 1:2 — since \( L=\mu_r\mu_0 n^2 A l \), so \( L_A/L_B = (n_A/n_B)^2\times(l_A/l_B) = (1/2)^2\times 2 = 1/2 \). |
| 22 | What is the dimensional formula of emf? | \( [\text{M L}^2 \text{T}^{-3} \text{A}^{-1}] \). |
| 23 | A cycle wheel of radius 0.5 m is rotated with a speed of 10 rad/s in a region where a magnetic field of 0.1 T is perpendicular to the plane of the wheel. What is the emf generated between the centre and the rim? (NEET 2019, Odisha) | 0.125 V — from \( \varepsilon = \frac{1}{2} B \omega R^2 = \frac{1}{2}\times 0.1\times 10\times 0.5^2 \), the same rotating-rod formula as Example 6.6. |
| 24 | A conducting circular loop lies in a uniform magnetic field of 0.04 T, its plane perpendicular to the field. Its radius shrinks at a constant rate of 2 mm/s. What is the induced emf when the radius is 2 cm? (AIPMT 2009) | \( 1.0\times10^{-5} \) V (10 μV) — from \( \varepsilon = B\cdot 2\pi r\left|\dfrac{dr}{dt}\right| = 0.04\times2\pi\times0.02\times0.002 \). |
| 25 | If N is the number of turns in a coil (geometry otherwise fixed), how does its self-inductance L vary with N? (AIPMT 1993) | \( L \propto N^2 \) — since \( L=\mu_0 n^2 Al \) with \( n=N/l \), so \( L \propto N^2/l \); for a fixed-length coil, doubling the turns quadruples L. |
| 26 | An inductor carrying a current stores its energy in what form? (AIPMT 1990 / 1989) | In the magnetic field it sets up (magnetic potential energy, \( U=\frac12 LI^2 \)) — unlike a capacitor, which stores energy in its electric field. |