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A rectangular coil of N turns and of length a and width b is rotated at frequenc

ID: 1414664 • Letter: A

Question

A rectangular coil of N turns and of length a and width b is rotated at frequency f in a uniform magnetic field of magnitude B, as indicated in the figure. The coil is connected to co-rotating cylinders, against which metal brushes slide to make contact. The emf induced in the coil is given (as a function of time t) by varepsilon = 2PifNabB sin (2Pift) = varepsilon_0 sin (2Pift). This is the principle of the commercial alternating-current generator. What value of Nab gives an emf with varepsilon_0 = 298 V when the loop is rotated at 70.6 rev/s in a uniform magnetic field of 0.607 T? Number_______Units

Explanation / Answer

from the given information

2*(pi)*fNabB=298

Nab=1.1 m^2

Number: 1.1 | Units: meter^2