Quantrex Quantrex AcademyJEE · NEET · NDA PYQs with solutions Open app
NEETPhysicsElectromagnetic Induction

Given below are two statements: one is labelled as Assertion (A) and the other is labelled as Reason (R). Assertion (A) : The electric field created by time-varying magnetic field is non-conservative. Reason (R) : The line integral of induced electric field in a closed loop is always equal to zero. In the light of the above statements, choose the most appropriate answer from the options given below:

Options

  1. ABoth (A) and (R) are true and (R) is the correct explanation of (A).
  2. BBoth (A) and (R) are true and (R) is NOT the correct explanation of (A).
  3. C(A) is true but (R) is false.
  4. D(A) is false but (R) is true.

Correct answer

C. (A) is true but (R) is false.

Step-by-step solution

- Assertion (A) states that the electric field created by a time-varying magnetic field is non-conservative. For a conservative electric field, the line integral around a closed loop is zero ( E d I = 0 ). However, according to Faraday's Law of Induction, E d I = - d _B dt , which is generally non-zero when there is a changing magnetic flux. This non-zero line integral signifies that the induced electric field is non-conservative. So, Assertion (A) is true. - Reason (R) states that the line integral of induced elec

Practice Electromagnetic Induction on Quantrex Academy →

More from Electromagnetic Induction

A square loop of area A is moving out of the uniform magnetic field (B) with constant velocity v . The EMF (e) induced in the loop is 2026The value of mutual inductance of two coils is 6 mH. The current in one of the coil changes from 7 A to 2 A in 0.2 second, so that e.m.f. is induced in the other coil. If the resis 2026Two identical inductors are connected in parallel. If the parallel combination stores 40 J of magnetic field energy when a total current of 2 A is passed through it, the value of t 2026Two coils have mutual inductance of 0.004 H . The current changes in the first coil according to the relation i = i₀ t , where i₀ = 6 A and = 100 rad/s . The maximum value of emf i 2026The coefficient of coupling is 0.8 . If the mutual inductance is 8 H , then the values of self-inductances L₁ and L₂ of the coil are 2026The self inductance L of a solenoid of length l and area of cross-section A, with a fixed number of turns N increases as 2026A wire of length 1 m is moving at a speed of 2 m/s perpendicular to its length in a homogeneous magnetic field of 0.5 T . If the ends of the wire are joined to a circuit of resista 2026Semicircular wire of radius R is rotated in a uniform magnetic field about an axis passing through its ends. If the frequency of rotation is f, the amplitude of induced e.m.f. in t 2026 Full Electromagnetic Induction list All NEET PYQs