Quantrex Quantrex AcademyJEE · NEET · NDA PYQs with solutions Open app
JEE Main202226 Jun 2022Evening ShiftPhysicsElectromagnetic InductionActual

Two coils of self inductance L 1 and L 2 are connected in series combination having mutual inductance of the coils as M . The equivalent self inductance of the combination will be

Options

  1. A1 L 1 + 1 L 2 + 1 M
  2. BL 1 + L 2 - 2 M
  3. CL 1 + L 2 + M
  4. DL 1 + L 2 + 2 M

Correct answer

B. L 1 + L 2 - 2 M

Step-by-step solution

Here self inductances are in series but their mutual inductances are linked oppositely. As the inductors connected are in series opposition, hence magnetic flux will be opposing each other. Therefore, L e q = L 1 + L 2 - 2 M

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 JEE Main PYQs