Two ideal wires are connected to a 1.6 ft resistor in a region of space where th

Question

Two ideal wires are connected to a 1.6 ft resistor in a region of space where there is a uniform magnetic field (beta vector_ext) of unknown magnitude and direction. A zero-resistance 10.0 cm bar is placed across the wires and moved away from the resistor at a speed of 400 m/s (see figure). The bars movement induces an emf in the circuit which results in a 20 A counter-clockwise current. a) What direction does beta vector_ext point? (circle one) INTO THE PACE UP THE PAGE OUT OF THE PAGE DOWN THE PAGE b) What is the magnitude of beta vector_ext?

Explanation / Answer

Given that

velocity V=400 m/s

current i=20 A

resistance R=1.6 ohm

length L=0.1 m

basing on the concept of Motion emf

now we find the magnetic field

magnetic field B=iR/vL=20*1.6/400*0.1

=0.8 T

the magnetic field is out of the page

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