Electromagnetic Induction - Quiz 1

Electromagnetic induction : 1

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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