What is the minimum number of loops required for a coil of area 5.1 ×10^-3 m^2 and angular spee

step 1 Here in this question we are going to calculate the number of turns in the coil. So we know that

What is the minimum number of loops required for a coil of...

What is the minimum number of loops required for a coil of area $5.1 \times 10^{-3} \mathrm{~m}^{2}$ and angular speed $350 \mathrm{rad} / \mathrm{s}$ to produce a maximum emf of $95 \mathrm{~V}$ in a magnetic field of strength $1.5 \mathrm{~T}$ ?

Key Concepts

Induced EMF in a Rotating Coil

When a coil rotates in a magnetic field, the orientation of its area relative to the field changes continuously, resulting in a periodic change in magnetic flux. The maximum induced emf in such a system is obtained when the rate of change of flux is at its peak, typically expressed as the product of the number of turns, the magnetic field strength, the area of the loop, and the angular speed.

Faraday's Law of Electromagnetic Induction

This fundamental principle states that a change in magnetic flux through a circuit induces an electromotive force (emf) in the circuit proportional to the rate of change of that flux. It forms the basis for understanding how physical systems convert mechanical energy into electrical energy, particularly in generators and motors.

Magnetic Flux

Magnetic flux quantifies the amount of magnetic field passing through a given area. It is defined as the product of the magnetic field strength, the area of the loop, and the cosine of the angle between the field and the normal to the surface, and its time variation is crucial for inducing an emf in a loop according to Faraday's Law.

Angular Speed

Angular speed represents how quickly the coil rotates, measured in radians per second. It directly influences the rate at which the magnetic flux through the coil changes, and thus, it is a critical factor in determining the amplitude of the induced emf in the rotating coil.

Transcript

Please give Ace some feedback