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184_notes:induced_current [2021/11/12 23:01] – [Finding the Induced Current Direction] stumptyl | 184_notes:induced_current [2021/11/12 23:14] – [Step 5: Determining $V_{ind}$] stumptyl | ||
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Next we need to determine the direction of the magnetic field through the relevant area. For this situation, the relevant area is going to be our coils, so we are particularly interested in the direction of the B-field through the coils. Remember for a bar magnet, the magnetic field should point out from the north side of the magnet, wrap around, and point into the south side of the magnet. Since our coil is next to the south side of the magnet, this means the magnetic field inside the coil will mostly be pointing to the left (in towards the south side of the magnet). So in the second column we will put an arrow to the left. | Next we need to determine the direction of the magnetic field through the relevant area. For this situation, the relevant area is going to be our coils, so we are particularly interested in the direction of the B-field through the coils. Remember for a bar magnet, the magnetic field should point out from the north side of the magnet, wrap around, and point into the south side of the magnet. Since our coil is next to the south side of the magnet, this means the magnetic field inside the coil will mostly be pointing to the left (in towards the south side of the magnet). So in the second column we will put an arrow to the left. | ||
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Remember that the $d\vec{A}$ is perpendicular to the cross section area of the coils. Meaning, that you can think of the $d\vec{A}$ as pointing "out of” the coil. For our set up, this means that $d\vec{A}$ could point either to the left or right (-x or +x direction). It doesn' | Remember that the $d\vec{A}$ is perpendicular to the cross section area of the coils. Meaning, that you can think of the $d\vec{A}$ as pointing "out of” the coil. For our set up, this means that $d\vec{A}$ could point either to the left or right (-x or +x direction). It doesn' | ||
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====Step 4.) $\Phi_{B, | ====Step 4.) $\Phi_{B, | ||
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In our case, this means we'd be taking a small positive number minus a big positive number. This will result in a // | In our case, this means we'd be taking a small positive number minus a big positive number. This will result in a // | ||
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?440|Step 4: Determine the sign of the change in flux based on the initial and final flux for the situation. | ?440|Step 4: Determine the sign of the change in flux based on the initial and final flux for the situation. | ||
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For our example, the change in flux was negative. So we write down " | For our example, the change in flux was negative. So we write down " | ||
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?440|Step 5: The sign of the V-induced is the **opposite** of the change in flux. }}] | ?440|Step 5: The sign of the V-induced is the **opposite** of the change in flux. }}] | ||