A small square loop of wire of side l is placed inside a large square loop of wire of side L(>>l ). The loops are coplanar and their centres coincide. The mutual inductance of the system is:
Correct answer: A. Directly proportional to I2
- A. Directly proportional to I2
- B. Inversely proportional to I2
- C. Directly proportional L2
- D. Inversely proportional to L2
Explanation
Because of larger loop, the field at the centre will beB = (4 × μ₀ i) / (4π (L/2)) (sin 45° + sin 45°)B = (μ₀ / 4π) (8√2 i / L)So, flux linked with the smaller loopφ₂ = B S₂ = (μ₀ / 4π) (8√2 / L) i l²φ₂ = M i₁Or M i = (μ₀ / 4π) (8√2 / L) i l²Or M = (μ₀ / 4π) (8√2 l² / L)Or M ∝ l²
Last updated
About Electromagnetism
Magnetic flux density and magnetic flux describe the strength of a magnetic field and the field passing through a surface. A charged particle moving through a magnetic field experiences a force perpendicular to its velocity and may follow circular or helical motion, depending on the angle between velocity and field.
Practise Electromagnetism
1,176 free Electromagnetism MCQs from Physics, each with the correct answer and an explanation. Unlimited attempts, no account needed.
Exams that ask Physics questions like this
Physics is on 13 papers prepared for on TestUstad, and all of them draw the same bank, so this question is worth knowing for every one of them.
Related questions
1 Tesla is equal to:
1 tesla is equal to:
2.5π µF capacitor and 3000-ohm resistance are joined in series to an AC source of 200 volts and frequency. The power factor of the circuit and the power dissipated in it will respectively be:
A 10 cm long solenoid has 100 turns. What will be the magnetic field inside it along its axis if one-microampere current is passed through it?
A 100-turn coil of area 0.1 m2 rotates at half a revolution per second. It is placed in a uniform magnetic field of 0.01 T perpendicular to the axis of rotation of the coil. Calculate the maximum voltage generated in the coil?