What is the Faraday’s Law of Induction?

Question

BlackTom AI · Accepted Answer

Starting with a broad view on Faraday’s Law of Induction, we assess what the law actually states about how emf is generated in a circuit.
Option a: 'The induced emf is directly proportional to the number of loops in the circuit.' While the total emf in a multi-loop circuit can scale with the total flux linkage (which involves both the number of turns and the flux through each turn), Faraday’s Law is more precisely about the time rate of change of magnetic flux, not merely the count of loops. This option misstates the essential dependence on how flux changes, rather than just loop count alone.
Option b: 'The induced emf is directly proportional to the time rate of change of the magnetic flux through the loop.' This aligns with Faraday’s Law: emf equals the negative time derivative of magnetic flux (EMF = -dΦ/dt). It captures the core idea that a changing magnetic environment induces an electric potential, and the faster the flux changes, the larger the induced emf is. This option correctly identifies the central relationship.
Option c: 'The induced current is produced by the magnet bar with the maximum value the magnetic flux through the loop.' This mixes up cause and mechanism. Induced current arises from a changing magnetic flux, not directly from the magnet having a maximum flux value, nor does it specify the rate of change. It also conflates flux magnitude with emf; the sign and magnitude are governed by the time rate of change, not simply the presence of a strong magnet at a given moment.
Option d: 'The induced current is produced by the battery which changes the magnetic flux through the circuit of N loops.' This description attributes induction to a battery-driven flux change, which is inaccurate in standard Faraday-Lenz form. A battery drives current in a circuit, but Faraday’s Law concerns changing magnetic flux due to moving magnets or changing magnetic fields, not due to an internal power source changing flux in the same circuit. It also mentions N loops without tying to the fundamental flux-change mechanism.
In summary, option a partially touches on flux linkage but misses the essential time-rate-of-change dependence; option c and d misidentify the source and mechanism of induction; option b correctly state the core relationship dictated by Faraday’s Law, linking emf to the time rate of change of magnetic flux through the loop.

UCIC 202503 PHYS101 Quiz 11

What is the Faraday’s Law of Induction?

View Explanation

Log in for full answers

Similar Questions

The emf induced in a generator is due to the change in:

What is Lenz’s Law?

Which of the following does not induce an emf in the loop?

A bar magnet is passed through a coil of wire. The induced current is greatest when

Lenz's law is a rule regrading

A plane conducting geometry is placed in a spatially uniform magnetic field such that there is a non-zero magnetic flux through the geometry. From the following statements select all that are true.

Transfer of electrical energy from one circuit to another without the aid of electrical connections

More Practical Tools for Students Powered by AI Study Helper

Homework AI Solver

Stylized AI Paper Writer

Plagiarism Checker Assistant

Citation AI Academic Writing Tool

In-Class Translation Assistant

AI Note Generator

AI Quiz Answers

Past Exam Questions from University Test Bank

Smart Practice Assistant

Adaptive Practice

Making Your Study Simpler