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A TMS (transcranial magnetic stimulation) device creates very rapidly changing m

ID: 1774436 • Letter: A

Question

A TMS (transcranial magnetic stimulation) device creates very rapidly changing magnetic fields. The field near a typical pulsed-field machine rises from 0 T to 2.5 T in 200 s. Suppose a technician holds his hand near the device so that the axis of his 1.8-cm-diameter wedding band is parallel to the field.

Part A

What emf is induced in the ring as the field changes?

Part B

If the band is made of a gold alloy with resistivity 6.2×108mand has a cross-section area 3.9 mm2 , what is the induced current?

Explanation / Answer

Emf induced = rate of change of flux

Change in flux=change in B*area/time

Change in flux=(2.5-0)*pi*.009*0.009

Emf induced=3.18 volts

(ii)length of band is missing in the data

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