In this problem, you will use Lenz's law to explore what happens when an electromagnet is activated a short distance from a wire loop. Note, an electromagnet is a solenoid with a magnetic material inside its core. In this case, the magnetic material is iron, whose magnetic polarization amplifies the external magnetic field produced by the solenoid.You will need to use the right-hand rule to find the direction of the induced current.
Question
In this problem, you will use Lenz's law to explore what happens when an electromagnet is activated a short distance from a wire loop. Note, an electromagnet is a solenoid with a magnetic material inside its core. In this case, the magnetic material is iron, whose magnetic polarization amplifies the external magnetic field produced by the solenoid.You will need to use the right-hand rule to find the direction of the induced current.
Solution
Sure, I can help with that. Here's a step-by-step guide:
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Identify the direction of the magnetic field: When the electromagnet is activated, it creates a magnetic field. The direction of this field is determined by the right-hand rule. If you point your right thumb in the direction of the current (from the positive to the negative terminal of the battery), your fingers will curl in the direction of the magnetic field.
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Determine the change in the magnetic field: Lenz's law states that an induced electromotive force (emf) generates a current that creates a magnetic field opposing the initial changing magnetic field. So, when the electromagnet is activated, the magnetic field through the wire loop increases.
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Find the direction of the induced current: Again, use the right-hand rule. This time, point your right thumb in the direction of the induced magnetic field (opposite to the direction of the initial magnetic field). Your fingers will curl in the direction of the induced current.
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Conclusion: The induced current will flow in a direction to create a magnetic field opposing the increase in the magnetic field of the electromagnet. This is a direct application of Lenz's law, which states that the direction of induced current is always such that it opposes the change causing it.
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