Consider a 2.50-cm radius circular loop perpendicular to a uniform magnetic fiel

Question

Consider a 2.50-cm radius circular loop perpendicular to a uniform magnetic field of 0.625 T. If the loop tuns by 30 degrees relative to the magnetic field, the magnetic flux through the loop
a)decreases, 0.87 of its original value
b)increases, twice larger than its original value
c)decreases, 0.58 of its original value
d)decreases, 0.50 of its original value
e)increases, 1.15 times larger than its original value

Due to an increase of the magnetic flux from zero to a certain value, the induced emf in a single loop of wire has a magnitude of 2.34 V. The change occurred during the time interval of 0.25 s. The maximum magnetic flux is
a)one of these
b)4.68 Wb
c)1.17 Wb
d)0.585 Wb

Explanation / Answer

1) The magnetic flux should be cos30 of its original value, which is 0.87. So the answer is a). 2) According to Faraday's Law, induced EMF is equal to the change of magnetic flux over time. Since the original magnetic flux is 0, the final magnetic flux is 2.34*0.25=0.585Wb. So the answer is d).

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