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Question

It is desired to measure the magnitude of field between the poles of a powerful loud speaker magnet. A small flat search coil of area 2cm2 with 25 closely wound turns, is positioned normal to the field direction, and then quickly snatched out of the field region. Equivalently, one can give it a quick 90 turn to bring its plane parallel to the field direction). The total charge flown in the coil (measured by a ballistic galvanometer connected to coil) is 7.5 mC. The combined resistance of the coil and the galvanometer is 0.50 Ω. Estimate the field strength of magnet.

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Solution

Q=tftiIdt
=1Rtftiεdt
=NRΦfΦidΦ
=NR(ΦiΦf)
N=25,R=0.50Ω,Q=7.5×103C
Φf=0,A=2.0×104m2
Φi=1.5×104Wb

B=Φi/A=0.75T

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