How to Calculate the Required Flux Density for Maximum Voltage Induction?

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To calculate the required flux density for maximum voltage induction in a rotating loop of wire, the area of the loop is given as 20 cm², and the target induced voltage is 1V at a rotation speed of 600 RPM. The relationship between magnetic flux (Φ), area (A), and flux density (B) is established, with the equation B = Φ/A being central to the calculations. The induced voltage can be expressed as V_induced = d(BAcos(θ))/dt, where θ relates to time as the loop rotates. To find the flux density, one must differentiate the magnetic flux with respect to time and incorporate the rotation dynamics into the calculations. Understanding these relationships will guide the determination of the necessary flux density.
Kev1n
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1. A loop of wire between the poles of a magnet, the magnetic field is uniform between the poles. The are of the loop of wire within the field is 20cm sqaured. Determine the magnitude of flux density required to induce a mx voltage of 1v when the loop is rotated at 600rpm



2. B= Flux x A



3. I know A however can't figure out where to go next, any pointers please. I am not asking to be solved just pointers please
 
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Kev1n said:
1. A loop of wire between the poles of a magnet, the magnetic field is uniform between the poles. The are of the loop of wire within the field is 20cm sqaured. Determine the magnitude of flux density required to induce a mx voltage of 1v when the loop is rotated at 600rpm



2. B= Flux x A



3. I know A however can't figure out where to go next, any pointers please. I am not asking to be solved just pointers please

\frac{d\phi_m}{dt} = V_{induced}
And
\phi_m = \int\limits_{A}^{}B}\, dA=BAcos(\theta)

V_{induced}=\frac{d(BAcos(\theta))}{dt}

You need to relate \theta to time and use that last equation I gave you to solve for B
 
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