Quantrex Quantrex AcademyJEE · NEET · NDA PYQs with solutions Open app
Concepts Of Physics MCQ Edition [Volume 2]PhysicsElectromagnetic Induction

In the circuit depicted in figure (b), the switch is closed at t = 0 and subsequently reopened after a long time at t = t₀ . Which of the following statements is correct regarding the inductor L ?

Options

  1. AThe voltage across L immediately before t = t₀ is E .
  2. BThe current in L immediately before t = t₀ is E /R .
  3. CThe current in L a long time after t = t₀ is E /R .
  4. DThe current in L immediately after t = 0 is E /R .

Correct answer

B. The current in L immediately before t = t₀ is E /R .

Step-by-step solution

In the given LR circuit, when the switch is closed at t = 0 , the current grows according to the equation: I(t) = E R (1 - e^ -Rt/L ) Immediately after t = 0 , the current is I(0) = 0 . After a long time, the circuit reaches a steady state. The inductor behaves as a short circuit, and the current becomes maximum and constant. The steady-state current immediately before t = t₀ is: I = E R Since the current is constant in steady state, the voltage across the inductor is V_L = L dI dt = 0 . When the switch is reopened

Practice Electromagnetic Induction on Quantrex Academy →

More from Electromagnetic Induction

List-I contains four conducting loops lying in the XY plane, as shown in the figures. The loops are rotating about Z axis passing through the point O with time period T in clockwis 2026A 30 cm long solenoid has 10 turns per cm and area of 5 cm ^2 . The current through the solenoid coil varies from 2 A to 4 A in 3.14 s. The e.m.f. induced in the coil is 10⁻⁵ V. Th 2026A square loop of side 2 cm is placed in a time varying magnetic field with magnitude as B = 0.4 (300t) Tesla. The normal to the plane of loop makes an angle of 60° with the field. 2026An inductor of inductance 10 mH having resistance of 100 , is connected to battery of E.M.F. 1.0 V through a switch as shown in the figure below. After switch is closed, the ratio 2026A metal rod of length L rotates about one end at origin with a uniform angular velocity . The magnetic field radially falls off as B(r) = B₀ e^ - r ; being a positive constant. The 2026A circular loop of radius 20 cm and resistance 2 is placed in a time varying magnetic field B = (2t^2 + 2t + 3) T . At t = 0 , for the plane of the loop being perpendicular to the 2026In the given circuit below inductance values of L₁ , L₂ and L₃ are same. The magnetic energy stored in the entire circuit is (U_t) and that stored in the L₂ inductor is (U_l) . U_t 2026A circular current loop of radius R is placed inside square loop of side length L(L >> R) such that they are co-planar and their centers coincide. The permeability of free space is 2026 Full Electromagnetic Induction list All Concepts Of Physics MCQ Edition [Volume 2] PYQs