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A 100-turn rectangular wire with sides D = 12.0 cm and H = 8.0 cm moves with con

ID: 2104270 • Letter: A

Question

A 100-turn rectangular wire with sides D = 12.0 cm and H = 8.0 cm moves with constant

speed v towards, into, through, and out of a region of uniform constant magnetic field B

= 0.060 T, as shown. A light bulb rated at "0.50 W @ 2.5 V" is connected into the loop.

The wire loop's electrical resistance is negligible compared to the bulb's resistance.


a. When does an electric current flow through the light bulb? List all that apply.


A) While the loop is entirely outside the magnetic field region.

B) While the loop is entering the magnetic field region.

C) While the loop is entirely inside the magnetic field region.

D) While the loop is leaving the magnetic field region.

(E) None of the above.


b. At what constant speed v must the loop move in order for the bulb to be able to light as

specified above in the appropriate place(s)? Please show your work.


c. When the bulb is lit, what mechanical force (magnitude & direction) must be applied to

the loop in order to keep it moving at its constant speed in part (a).

Explanation / Answer

a) (B)while the loop is entering the magnetic field or (D) while it leaving the magnetic field..


b) emf=B*l*v

so, v=emf/(B*l)

=2.5/(0.06*0.12)

=347.22 m/s


c) P=V*I

I=P/V

=0.5/2.5

=0.2 Amp

so, F=B*I*L

=0.06*0.2*.12

=1.44*10^-3 N