Sign in
12thPass logo
New chatPYQ LibraryDoubtsRank report
Sign in to see Recents

Your guest activity stays on this device

Sign in to save progress →
Sign in

Electromagnetic Induction question

2006 · Shift 0 · Q95
Guest · filters and generic practice availableBrowsing as a guest · PYQ filters and generic practice are available. Sign in only for personalised features and saved progress.
  1. PYQ Library
  2. /JEE Main
  3. /Physics
  4. /Electromagnetic Induction
  5. /2006 · Shift 0 · Q95

Electromagnetic Induction question

2006 · Shift 0 · Q95

JEE MainPhysicsElectromagnetic InductionMCQ+4 / −1
The flux linked with a coil at any instant ′t′'t'′t′ is given by ϕ=10t2−50t+250\phi = 10{t^2} - 50t + 250ϕ=10t2−50t+250 The induced emfemfemf at t=3st=3st=3s is
  1. A
    −190V-190V−190V
  2. B
    −10V-10V−10V
  3. C
    10V10V10V
  4. D
    190V190V190V
View written solutionFree

Correct answer: B

  1. Given flux equation

    The magnetic flux linked with the coil is ϕ(t)=10t2−50t+250\phi(t)=10t^2-50t+250ϕ(t)=10t2−50t+250

  2. Use Faraday's law of electromagnetic induction

    Induced emf is e=−dϕdte=-\frac{d\phi}{dt}e=−dtdϕ​

  3. Differentiate the flux with respect to time

    dϕdt=ddt(10t2−50t+250)=20t−50\frac{d\phi}{dt}=\frac{d}{dt}(10t^2-50t+250)=20t-50dtdϕ​=dtd​(10t2−50t+250)=20t−50

    Therefore, e=−(20t−50)=−20t+50e=-(20t-50)= -20t+50e=−(20t−50)=−20t+50

  4. Evaluate at t=3 st=3\,\text{s}t=3s

    e=−20(3)+50=−60+50=−10 Ve=-20(3)+50=-60+50=-10\,\text{V}e=−20(3)+50=−60+50=−10V

  5. Match with the options

    −10 V-10\,\text{V}−10V corresponds to Option B.

  6. Comparison with stored correct answer

    Stored correct answer is B, which matches the derived answer.

PreviousNext

More from Electromagnetic Induction

  • A coil of inductance 300mH and resistance 2Ω is connected to a source of voltage 2V. The current reaches half of its steady state value in2005 · MCQ
  • One conducting U tube can slide inside another as shown in figure, maintaining electrical contacts between the tubes. The magnetic field B is perpendicular to the plane of the figure. If each tube moves towards the other at a constant… Includes diagram2005 · MCQ
  • A coil having n turns and resistance RΩ is connected with a galvanometer of resistance 4RΩ. This combination is moved in time t seconds from a magnetic field W1​ weber to W2​ weber. The induced current in the…2004 · MCQ
  • In a uniform magnetic field of induction B a wire in the form of a semicircle of radius r rotates about the diameter of the circle with an angular frequency ω. The axis of rotation is perpendicular to the field. If the total…2004 · MCQ
  • A metal conductor of length 1m rotates vertically about one of its ends at angular velocity 5 radians per second. If the horizontal component of earth's magnetic field is 0.2×10−4T, then the e.m.f. developed between…2004 · MCQ
  • When the current changes from +2A to −2A in 0.05 second, an e.m.f. of 8V is inducted in a coil. The coefficient of self- induction of the coil is2003 · MCQ
  • Two coils are placed close to each other. The mutual inductance of the pair of coils depends upon2003 · MCQ
  • The inductance between A and D is Includes diagram2002 · MCQ