Quantrex Quantrex AcademyJEE · NEET · NDA PYQs with solutions Open app
MHT CET20255 May 2025Evening ShiftPhysicsElectromagnetic InductionActual

A coil having ' N ' turns and resistance ' R ' is connected to a galvanometer of resistance '6R' . The magnetic flux linked with this coil changes from ₁ weber to ₂ weber in time ' t ' second. The induced current in the circuit is

Options

  1. AN ( ₂- ₁ ) t
  2. BN ( ₂- ₁ ) 7 Rt
  3. CN ( ₂- ₁ ) Rt
  4. DN ( ₂- ₁ ) 6 R t

Correct answer

B. N ( ₂- ₁ ) 7 Rt

Step-by-step solution

The induced current I is determined by the induced EMF and the total circuit resistance. With coil resistance R and galvanometer resistance 6R in series, the total resistance is R_ total = R + 6R = 7R . Faraday's law gives the magnitude of induced EMF as | | = N ₂ - ₁ t for flux change ₂ - ₁ over time t . Applying Ohm's law yields I = | | R_ total = N( ₂ - ₁) 7Rt . Final answer: 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