A technician wearing a brass bracelet enclosing an area of 0.00600 m2 places her

Question

A technician wearing a brass bracelet enclosing an area of 0.00600 m2 places her hand in a solenoid whose magnetic field is 4.00 T directed perpendicular to the plane of the bracelet. The electrical resistance around the circumference of the bracelet is 0.02 . An unexpected power failure causes the field to drop to 1.50 T in a time of 30.0 ms. Find

(a) the average current induced in the bracelet

(b) the power delivered to the resistance of the bracelet (remember that power is I2R)

0/6 points | Previous Answers My Notes Ask Your A technician wearing a brass bracelet enclosing an area of 0.00600 m places her hand in a solenoid whose magnetic field is 4.00 T directed perpendicular to the plane of the bracelet. The electrical resistance around the circumference of the bracelet is 0.02 . An unexpected power failure causes the field to drop to 1.50 T in a time of 30.0 ms. Find (a) the average current induced in the bracelet 250 (b) the power delivered to the resistance of the bracelet (remember that power is I (b) the power delivered to the resistance of the bracelet (remember that power is I-R) 12R) 1250x w (Note: As this problem implies, you should not wear any metallic objects when working in regions of strong magnetic fields!)

Explanation / Answer

given are

A=0.00600m^2

B1=4T

R=0.02ohm

B2=1.50T

t=30msec=30*10^-3 sec

E=-N delta BA cos theta/delta t

=-N (pie*r^2) cos 0 delta B/delta t

=-1*(0.00600*1)(1.50-4)/30*10^-3

=5*10^-4+3 V

E=0.5 V

a)I=E/R

=0.5/0.02 ohm

I=25amp

b)P=EI

=0.5*25

=12.5 watt

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