A flexible circular loop 6.50 cm in diameter lies in a...

A flexible circular loop 6.50 cm in diameter lies in a magnetic field with magnitude 1.35 T, directed into the plane of the page as shown in $\textbf{Fig. P29.53}$. The loop is pulled at the points indicated by the arrows, forming a loop of zero area in 0.250 s. (a) Find the average induced emf in the circuit. (b) What is the direction of the current in $R$: from $a$ to $b$ or from $b$ to $a$? Explain your reasoning.

Key Concepts

Average Induced EMF

The average induced emf is determined by dividing the total change in magnetic flux by the time interval over which the change occurs. This concept is particularly useful in situations where the flux changes uniformly over time, leading to a constant average value of the induced electromotive force.

Lenz's Law

Lenz’s Law provides the direction of the induced current resulting from a change in magnetic flux. It states that the induced current will flow in such a direction that its magnetic field opposes the change in the original magnetic flux, thereby conserving energy and maintaining system equilibrium.

Magnetic Flux

Magnetic flux is a measure of the quantity of magnetic field passing through a given area. It is defined as the product of the magnetic field strength and the perpendicular area through which the field lines pass, and it quantifies how much magnetic field interacts with a surface.

Faraday's Law of Electromagnetic Induction

Faraday’s Law states that a change in magnetic flux through a circuit induces an electromotive force (emf) in that circuit. The magnitude of the induced emf is proportional to the rate of change of the magnetic flux. This law is fundamental in explaining how electric generators and transformers work.

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