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An electric generator has an 18 -cm-diameter, 120 -turn coil that rotates at 60 Hzin a uniform magnetic field that is perpendicular to the rotation axis. What magnetic field strength is needed to generate a peak voltage of 170V?

Short Answer

Expert verified

The magnetic field strength is B=0.15T

Step by step solution

01

Magnetic Field

The magnetic field lines has been the portion of magnetization which thus goes through one loop of across By This magnet is calculated on the basis:

m=BA

The magnet is given by if the magnetism makes an equal with axis.

m=NBAcost=NBAcos(2ft)

02

Area

The rotation's pitch is represented by the sign f. Whereas a coil's diameter is d = 18 cm, the length equals A=d22=0.18m22=25.45103m2

From Faradays, the mediated is the modification of the magnetization in there in the spiral and this is provided by the type=dmdt=dNBAcos(2ft)dt

=NBAdcos(2ft)dt

=2fNBA(sin2ft)

03

Rotation axis

Because the magnetosphere is diagonally to the axis of rotation, the word "perpendicular magnetic field" is used.

sin2ft=sin90=1. We solve equation

B=2fNA

The values ,f,NandA

B=2fNA

=170V2(60Hz)(120)25.45103m2

=0.15T

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