Depicts a two-turn horizontal coil in a uniform downward b...

Depicts a two-turn horizontal coil in a uniform downward $b$ -field. Assume the field is decreasing. (a) What is the direction of the induced magnetic field in the coil and why? (b) What is the direction of the induced current in the coil and why? (c) Which terminal is at a higher voltage? [Hint: Draw a diagram. Only concern yourself with what is happening inside the area of the coil. Study the previous two problems.]

Key Concepts

Lenz's Law

Lenz's Law provides the direction of the induced EMF and current, emphasizing that the induced current flows in a direction that opposes the change in magnetic flux that produced it. This principle ensures the conservation of energy by counteracting the variation in the magnetic field.

Faraday's Law of Electromagnetic Induction

This fundamental law states that a changing magnetic flux through a circuit induces an electromotive force (EMF) in that circuit. It quantifies the relationship between the time rate of change of the magnetic flux and the induced EMF, forming the basis for understanding how varying magnetic fields generate currents in circuits.

Magnetic Flux

Magnetic flux is a measure of the total magnetic field passing through a given area. Changes in this flux, either due to variations in the magnetic field strength or the orientation of the area relative to the field, are what drive the induction process according to Faraday's Law.

Right-Hand Rule

The right-hand rule is a mnemonic that aids in determining the orientation of the induced current in a loop or coil relative to the direction of the induced magnetic field. By aligning the thumb with the direction of the magnetic field, the curled fingers indicate the direction of the current, which is fundamental in visualizing and solving induction problems.

Potential Difference in Circuits

When an induced EMF generates a current, it creates a potential difference across different parts of the circuit. This potential difference, or voltage, is a measure of the energy per unit charge made available by the induced EMF, and its direction is determined by the orientation of the induced electric field resulting from the changing magnetic field.

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