## Electromagnetic induction : 1

JEE Advanced Physics Syllabus can be referred by the IIT aspirants to get a detailed list of all topics that are important in cracking the entrance examination. JEE Advanced syllabus for Physics has been designed in such a way that it offers very practical and application-based learning to further make it easier for students to understand every concept or topic by correlating it with day-to-day experiences. In comparison to the other two subjects, the syllabus of JEE Advanced for physics is developed in such a way so as to test the deep understanding and application of concepts..

Q1.  A thin semicircular conducting ring of radius R is falling with its plane vertical in horizontal magnetic induction B ⃗. At the position MNQ the speed of the ring is V, and the potential difference developed across the ring is
•   Zero
•   BVπR2/2 and M is at higher potential
•  πRBV and Q is at higher potential
•  2RBV and Q is at higher potential
Solution
2RBV and Q is at higher potential

Q2.The variation of induced emf(ε) with time (t ) in a coil if a short bar magnet is moved along its axis with a constant velocity is best represented as
Solution
B

Q3.  Depletion of resources of fossil fuels will at some future time make hydrogen, either for use directly by combustion and electrochemically in The coefficient of mutual inductance of two circuits A and B is 3 mH and their respective resistances are 10 and 4 Ω. How much current should change in 0.02 s in circuit A, so that the induced current in B should be 0.0060 A?
•  0.24A
•  1.6 A
•  0.18 A
•  0.16 A
Solution
d

Q4.  A current i0 is flowing through an L-R circuit of time constant t0. The source of the current is switched off at time t=0. Let r be the value of (-di/dt) at time t=0. Assuming this rate to be constant, the current will reduce to zero in a time interval of
•  t0
•  et0
•  t0/e
•  (1-1/e) t0
Solution
a

Q5.An electron moves on a straight line path YY^' as shown in figure. A coil is kept on the right such that YY^' is in the plane of the coil. At the instant when the electron gets closest to the coil (neglect self-induction of the coil)
•  The current in the coil floes clockwise
•  The current in the coil flows anticlockwise
•  The current in the coil is zero
•  The current in the coil does not change the direction as the electron crosses point Q
Solution
c

Q6. 6. The time constant of an inductance coil is 2×10-3 s. When a 90 Ω resistance is joined in series, the same constant becomes 0.5×10-3 s. The inductance and resistance of the coil are
•  30 mH;30 Ω
•  60 mH;30 Ω
•  30 mH;60 Ω
•  60 mH;60 Ω
Solution
b

Q7. Two coils X and Y are linked such that e.m.f. E is induced in Y when the current in X is changing at the rate I^' (=dI/dt). It a current I_0 is now made to flow through Y, the flux linked with X will be
•  EI0 I'
•  (I0 I')/E
•  (EI' ) I0
•  (E/I' ) I0
Solution
d

Q8. In the space shown a non-uniform magnetic filedB=B0 (1+x)(-k ̂) tesla is present. A closed loop of small resistance, placed in the xy plane is given velocityV0. The force due to magnitude filed on the loop is
•   Zero
•  TA long +x direction
•   Along – x direction
•  Along +y direction
Solution
c

Q9. A circuit contains two inductors of self-inductance L1 and L2 in series. If M is the mutual inductance then the effective inductance of the circuit shown will
•  L1+L2
•  L1 +L2-2 M
•  L1 +L2+ M
•  L1 +L2+2 M
Solution
d

Q10. A conductor of length l and mass m can slide without any friction along the two vertical conductors connected at the top through a capacitor figure. A uniform magnetic filed B is set up perpendicular to the plane of paper. The acceleration of the conductor
•  Is constant
•  Increases
•  Decreases
•  Cannot say
Solution
c #### Written by: AUTHORNAME

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