(1) Show below is the are a bunch of loops of wire in a magnetic field which points into the page. The magnetic field only exists in the dotted line rectangle shown surrounding the region. One loop is a rectangular loop which originates outside of the region with the field. One of the circular loops is attached to a spring and is hanging from the ceiling. The third loop is a circular loop and is attached to the ceiling via a rope. (a) Is there an induced current in the circular loop attached to the spring if it begins to oscillate vertically up and down? Explain your reasoning. (b) Is there an induced current in the circular loop attached to the string if it swings left and right. Explain your reasoning. (c) The rectangular loop of wire is dragged through the magnetic field. It begins com- pletely outside of the region where the magnetic field exists, it passes through the region with the magnetic field, and then it exits the region with the field on the other side. Draw a qualitatively accurate graph of the current versus the location of the loop. You can mark the horizontal axis to represent the 5 regions similar to lecture: Outside, entering, inside, exiting, outside (now on the other side). Consider clockwise current to be positive. хх X X X X X X x O x x xO x x X X X X X X X X X X X X X X X X X X X X X X X X X X X

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(1) Show below is the are a bunch of loops of wire in a magnetic field which points into
the page. The magnetic field only exists in the dotted line rectangle shown surrounding the
region. One loop is a rectangular loop which originates outside of the region with the field.
One of the circular loops is attached to a spring and is hanging from the ceiling. The third
loop is a circular loop and is attached to the ceiling via a rope.
(a) Is there an induced current in the circular loop attached to the spring if it begins to
oscillate vertically up and down? Explain your reasoning.
(b) Is there an induced current in the circular loop attached to the string if it swings left
and right. Explain your reasoning.
(c) The rectangular loop of wire is dragged through the magnetic field. It begins com-
pletely outside of the region where the magnetic field exists, it passes through the region
with the magnetic field, and then it exits the region with the field on the other side. Draw
a qualitatively accurate graph of the current versus the location of the loop. You can mark
the horizontal axis to represent the 5 regions similar to lecture: Outside, entering, inside,
exiting, outside (now on the other side). Consider clockwise current to be positive.
хх
X X X
X X
хх
X X X
X X
X X X X X X X X X
X X X X X X X X X
хх
X X X X X
Transcribed Image Text:(1) Show below is the are a bunch of loops of wire in a magnetic field which points into the page. The magnetic field only exists in the dotted line rectangle shown surrounding the region. One loop is a rectangular loop which originates outside of the region with the field. One of the circular loops is attached to a spring and is hanging from the ceiling. The third loop is a circular loop and is attached to the ceiling via a rope. (a) Is there an induced current in the circular loop attached to the spring if it begins to oscillate vertically up and down? Explain your reasoning. (b) Is there an induced current in the circular loop attached to the string if it swings left and right. Explain your reasoning. (c) The rectangular loop of wire is dragged through the magnetic field. It begins com- pletely outside of the region where the magnetic field exists, it passes through the region with the magnetic field, and then it exits the region with the field on the other side. Draw a qualitatively accurate graph of the current versus the location of the loop. You can mark the horizontal axis to represent the 5 regions similar to lecture: Outside, entering, inside, exiting, outside (now on the other side). Consider clockwise current to be positive. хх X X X X X хх X X X X X X X X X X X X X X X X X X X X X X X хх X X X X X
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