Question

A very long: straight volenoid whth a cross-sectional wea of 221 cm²

is wound with 87.8 turns of wire per cenemeter. Starting at t=0, the current in the solnod is increasing accortirg 10i(t)=(0.171 A/s² )t²
. A socondary winding of 50 turns oncrcles the solenoid at is conter, such that the secondary wind has tho same crovs-sectenal ares as the solenoid

Answer 1

The question involves electromagnetism and requires understanding Faraday's law of electromagnetic induction to find the induced emf and current in secondary coils when a primary solenoid has a time-varying current.

Step-by-step explanation:

The student's question pertains to finding the induced current and induced emf (electromotive force) in secondary coils or loops when a primary solenoid has a time-varying current. Specifically, they are looking at scenarios where the current in the solenoid is changing, which by Faraday's law of electromagnetic induction, results in an induced emf in the secondary windings. These types of problems are essential for understanding the principles of magnetic flux, induced emf, and Lenz’s law, which are fundamental concepts in electromagnetism, a branch of physics.