Asked by ve
Based on the information collected during the lab, explain the source of the induced current observed, regardless of that current’s direction.
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The induced current you observed comes from a change in the magnetic flux through the circuit. In words: whenever the magnetic field threaded by the loop changes in time, an emf is produced around the loop and that emf drives a current.
Two equivalent ways to state this:
- Faraday’s law: emf = -N dΦ/dt, where Φ = ∫B·dA is the magnetic flux through the coil and N is the number of turns. The minus sign (Lenz’s law) sets the current’s direction so the induced magnetic field opposes the change of flux.
- Maxwell–Faraday form: a time‑varying magnetic field produces a non‑conservative electric field (∇×E = −∂B/∂t) that pushes charges and creates the current. If the conductor itself moves through a magnetic field, the same effect can be described as a motional emf (v×B) acting on charges.
Energy-wise, the electrical energy in the induced current comes from whatever caused the flux to change (for example, the mechanical work you did moving the magnet). Lenz’s-law opposition is why you feel a resistive force when changing the flux: you must do work against the induced magnetic forces, and that work is converted into the electrical energy (and then dissipated as heat, light, etc.).
Two equivalent ways to state this:
- Faraday’s law: emf = -N dΦ/dt, where Φ = ∫B·dA is the magnetic flux through the coil and N is the number of turns. The minus sign (Lenz’s law) sets the current’s direction so the induced magnetic field opposes the change of flux.
- Maxwell–Faraday form: a time‑varying magnetic field produces a non‑conservative electric field (∇×E = −∂B/∂t) that pushes charges and creates the current. If the conductor itself moves through a magnetic field, the same effect can be described as a motional emf (v×B) acting on charges.
Energy-wise, the electrical energy in the induced current comes from whatever caused the flux to change (for example, the mechanical work you did moving the magnet). Lenz’s-law opposition is why you feel a resistive force when changing the flux: you must do work against the induced magnetic forces, and that work is converted into the electrical energy (and then dissipated as heat, light, etc.).
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