A square coil of 16 cm has 200 turns and rotates in a uniform magnetic field of magnitude 0.05 T. If the peak emf is 12 V, what is the angular velocity of the coil?
Correct answer: A. 47 rad s-1
- A. 47 rad s-1
- B. 49 rad s-1
- C. 43 rad s-1
- D. 45 rad s-1
Explanation
To determine the angular velocity (ω) of the coil, we use the formula for the peak emf (E) induced in a rotating coil in a magnetic field: E = NBAω, where N is the number of turns, B is the magnetic field strength, A is the area of the coil, and ω is the angular velocity. For a square coil with a side of 16 cm, the area A = (0.16 m)² = 0.0256 m². Substituting the given values into the rearranged formula ω = E / (NBA), we have:ω = 12 V / (200 × 0.05 T × 0.0256 m²) ≈ 47 rad/s.Therefore, the correct angular velocity of the coil is approximately 47 rad/s. Options B, C, and D are incorrect because their calculations do not align with the correct application of the formula.
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?