Quantrex Quantrex AcademyJEE · NEET · NDA PYQs with solutions Open app
MHT CET202525 Apr 2025Evening ShiftPhysicsElectromagnetic InductionActual

A coil of ' n ' turns and resistance R is connected in series with a resistance R 2 . The combination is moved for time 't' second through magnetic flux ₁ to ₂ . The induced current in the circuit is

Options

  1. An ( ₁- ₂ ) 3 Rt
  2. B2 n ( ₁- ₂ ) 3 Rt
  3. C2 n ( ₁- ₂ ) Rt
  4. Dn ( ₁- ₂ ) Rt

Correct answer

B. 2 n ( ₁- ₂ ) 3 Rt

Step-by-step solution

Induced current in the circuit The total resistance is the sum of the coil resistance R and the series resistance R 2 , giving R_ total = 3R 2 . The magnitude of the induced EMF from Faraday's law is = n ( ₁ - ₂) t , where the flux changes from ₁ to ₂ in time t . Applying Ohm's law, the induced current is I = R_ total = n ( ₁ - ₂) t 2 3R = 2n ( ₁ - ₂) 3Rt . This matches option B .

Practice Electromagnetic Induction on Quantrex Academy →

More from Electromagnetic Induction

A metallic circular loop is placed with its plane perpendicular to a uniform magnetic field of 0.3 T. If the radius of the loop decreases at a constant rate of 2 mm s⁻¹ , what will 2026A square loop of wire 2.2 cm on each side contains 2 turns and has a total resistance of 0.0002 . It is located 22 cm from a long straight current carrying wire. If the current in 2026A circular coil of radius 7 cm and 40 turns is rotated about its vertical diameter with an angular speed of 40 radians per second in a uniform horizontal magnetic field of 4 10⁻² T 2026An AC generator having 400 turns and an area of cross section of 2 10⁻³ m^2 rotates with an angular speed of 200 rad s⁻¹ in a uniform magnetic field of strength 0.4 T. The generato 2026A long solenoid of initial radius R₀ is put in a region of uniform magnetic field B with the axis of the solenoid aligned along the magnetic field. The solenoid is a part of a clos 2026In Faraday-Henry's experiment, a coil is connected to a galvanometer. For the deflection of pointer in the galvanometer, which of the following statement/s is/are WRONG? The pointe 2026In the figure shown, the conductor PQ of length l is moved from x = 0 to x = b and then up to x = 2b with a constant velocity v . A uniform magnetic field B is perpendicular to the 2026A coil having 100 square loops each of side 10 cm is placed such that its plane is normal to a magnetic field, which is changing at a rate of 0.7 ~T ~s ⁻¹ . The emf induced in the 2025 Full Electromagnetic Induction list All MHT CET PYQs