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If a magnet is pushed into a coil, voltage is induced across the coil. If the same magnet is pushed with a greater speed then what?

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Final answer:

Greater speed of a moving magnet results in a higher induced electromotive force (emf) in a coil, due to a faster change in magnetic flux, as explained by Faraday's Law. Lenz's Law describes the nature of the induced current 's opposition to the change in magnetic flux.

Step-by-step explanation:

When a magnet is thrust into a coil, it induces a voltage across the coil due to a change in the magnetic field. According to Faraday's Law, if the magnet is moved with greater speed, the induced voltage, or electromotive force (emf), will be higher. This is because the rate of change of the magnetic flux through the coil is higher when the magnet is moved faster. Factors such as the relative motion of the magnet and coil, speed of the motion, and the direction of motion all play a role in the magnitude and direction of the induced emf.

A fundamental principle at work here is Lenz's Law, which states that the direction of the induced current in a closed loop, such as a coil, will be such that it opposes the change in magnetic flux that produced it. This is observed when the induced magnetic field from the coil is in the opposite direction to that of the moving magnet. The quicker the movement, the more significant the opposing induced magnetic field is created.

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