JEE Main & Advanced Physics Electro Magnetic Induction Question Bank

done Numerical Value Type Questions - Electro Magnetic Induction Total Questions - 15

• question_answer1)
  Some magnetic flux is changed from a coil of resistance 10 ohm. As a result an induced current is developed in it, which varies with time as shown in figure. The magnitude of change in flux through the coil in Webers is ?
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• question_answer2)
  A conducting rod AB of length \[\ell =1m\] is moving at a velocity \[v=4\text{ }m/s\]making an angle \[30{}^\circ \]with its length. A uniform magnetic field \[B=2T\]exists in a direction perpendicular to the plane of motion. Then \[{{V}_{A}}-{{V}_{B}}=?\](in volt)
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• question_answer3)
  Two coils are at fixed locations. When coil 1 has no current and the current in coil 2 increases at the rate 15.0 A/s the e.m.f. in coil 1 in 25.0 mV, when coil 2 has no current and coil 1 has a current of 3.6 A, flux linkage in coil 2 is (in mWb)?
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• question_answer4)
  When induced emf in inductor coil is 50% of its maximum value then stored energy in inductor coil in the given circuit will be (in mJ)?
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• question_answer5)
  The current in a coil varies with respect to time t as\[I=3{{t}^{2}}+2t\]. If the inductance of coil be\[10\text{ }mH\], the value of induced e.m.f. (in volt) at \[t=2s\]will be?
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• question_answer6)
  A solenoid has an inductance of 50 mH and a resistance of\[0.025\Omega \]. If it is connected to a battery, how long will it take for the current to reach one half of its final equilibrium value?
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• question_answer7)
  In the circuit shown in fig. Time constant of the circuit will be-
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• question_answer8)
  A large coil of 10 turns has resistance\[2\Omega \]. It is kept in a magnitude field of 0.5T. If the coil is pulled out of the magnetic field uniformly such that its area coming out of the magnetic field is\[200c{{m}^{2}}/s\], the induced current in it is (in mA)?
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• question_answer9)
  When the current changes from \[+2A\text{ }to-2A\] in 0.05 second, an e.m.f. of 8 V is induced in a coil. The coefficient of self-induction of the coil is (in H)?
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• question_answer10)
  A conductor AB can slide freely on two long parallel horizontal smooth wires separated by 1 meter. The two wires are connected to the terminals of a 5 volt battery. There is a uniform magnetic field of induction\[0.1wb/{{m}^{2}}\] acting vertically downward (into the paper normally). Find the terminal velocity of AB (in m/s)
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• question_answer11)
  A horizontal wire free to slide on the vertical rails of a conducting frame as shown in figure. The wire has a mass m and length ℓ and the resistance of the circuit is R. If a uniform magnetic field B is directed perpendicular to the frame, then find the terminal speed of the wire as it falls under the force of gravity, in m/s.\[(m=1kg,\text{ }R=1\Omega ,\]\[B\text{ }=\text{ }1T,\]\[\ell =\sqrt{2}m)\]
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• question_answer12)
  A long solenoid has magnetic field induction 10 T at its centre. A 100 turn close-packed coil of area 1 \[c{{m}^{2}}\] is placed at the centre of the solenoid. This coil is arranged so that at the centre of the solenoid is parallel to its axis. The current in the solenoid is reduced to zero and then raised to its initial value in other direction at a steady rate over a period of\[0\cdot 05\text{ }s\]. What induced emf appears in the coil while the current is being changed, in volt.
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• question_answer13)
  A plane spiral coil is made of a thin insulated wire and has\[N=100\]turns. Radii of inside and outside turns are \[a=10\text{ }cm\]and \[b=20\text{ }cm\]respectively. A magnetic field normal to the plane of spiral exists in the space. The magnetic field increases at a constant rate \[\alpha =0\cdot 3\]tesla/second. Calculate induced emf between the ends of the spiral. (in volt)
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• question_answer14)
  A triangular wire frame (each side = 2m) is placed in region of time variant magnetic field having\[dB/dt=\sqrt{3}T/s\]. The magnetic field is perpendicular to the plane of the triangle. The base of the triangle AB has a resistance \[1\Omega \]while the other two sides have resistance \[2\Omega \]each. The magnitude of potential difference between the points A and B will be \[\frac{a}{10}\]volt then the value of a is.
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• question_answer15)
  The time dependence of the current flowing through the inductance L of the circuit shown in Fig. after the switch Sw is shorted at the moment\[t=0\], is given by\[i=\frac{E}{\alpha R}\left( 1-{{e}^{\frac{tR}{\beta L}}} \right)\]. Determine\[\frac{\beta }{\alpha }\].
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