A $144-$ light bulb is connected to a conducting wire that is wrapped into the shape of a square with side length of $83\mathrm{.}0$ cm$.$ This square loop is rotated within a uniform magnetic field of $454$ mT$.$ What is the change in magnetic flux through the loop when it rotates from a position where its area vector makes an angle of $30$ with the field to a position where the area vector is parallel to the field?

$50\mathrm{.}5$ mWb$41\mathrm{.}9$ mWb$271$ mWb$313$ mWb

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Part B

A $144-$ light bulb is connected to a conducting wire that is wrapped into the shape of a square with side length of $83\mathrm{.}0$ cm$.$ This square loop is rotated within a uniform magnetic field of $454$ mT$.$ The loop rotates from a position where its area vector makes an angle of $30$ with the field to a position where the area vector is parallel to the field in $56\mathrm{.}3$ ms$.$ What is the induced current through the light bulb?

$16\mathrm{.}4$A$5\mathrm{.}17$ mA$107$ A$744$ mA

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Part C

A $144-$ light bulb is connected to a conducting wire that is wrapped into the shape of a square with side length of $83\mathrm{.}0$ cm$.$ This square loop is rotated with a frequency of $60$ Hz within a uniform magnetic field of $454$ mT$.$ This means the loop makes half a revolution in $8\mathrm{.}33$ ms$.$ What is the induced current in the light bulb when the loop rotates from a position where its area vector is opposite the magnetic field to a position where its area vector is parallel to the magnetic field?

$521$ mA$626$ mA$261$ mA$75\mathrm{.}1$ A