4) A rectangular loop of wire of length L, width W, and resistance R is oriented in the plane of the page and located in a region of uniform magnetic field B directed into the page. Both the width of the rectangle and the magnitude of the magnetic field increase linearly with time, such that W = C;t and B = C2t where C1 and C2 are positive constants. [Hint: Hmmm, there's a time changing magnetic flux in this problem. Better use Faraday's Law...] a) Calculate the magnitude of the current, I, induced in the loop at time t. b) In which direction does the induced current flow? Use Lenz's law to explain why. B L х х х W x x x x x x x
4) A rectangular loop of wire of length L, width W, and resistance R is oriented in the plane of the page and located in a region of uniform magnetic field B directed into the page. Both the width of the rectangle and the magnitude of the magnetic field increase linearly with time, such that W = C;t and B = C2t where C1 and C2 are positive constants. [Hint: Hmmm, there's a time changing magnetic flux in this problem. Better use Faraday's Law...] a) Calculate the magnitude of the current, I, induced in the loop at time t. b) In which direction does the induced current flow? Use Lenz's law to explain why. B L х х х W x x x x x x x
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4) A rectangular loop of wire of length L, width W, and
resistance R is oriented in the plane of the page and
located in a region of uniform magnetic field B directed
into the page. Both the width of the rectangle and the
magnitude of the magnetic field increase linearly with
time, such that W = C¡t and B = C2t where Ci and C2
are positive constants. [Hint: Hmmm, there's a time
changing magnetic flux in this problem. Better use
Faraday's Law...]
a) Calculate the magnitude of the current, I, induced in
the loop at time t.
b) In which direction does the induced current flow? Use Lenz's law to explain why.
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X
х х
L
х х
X
X
X
X
W
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х х
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Transcribed Image Text:х х х х х х х
4) A rectangular loop of wire of length L, width W, and
resistance R is oriented in the plane of the page and
located in a region of uniform magnetic field B directed
into the page. Both the width of the rectangle and the
magnitude of the magnetic field increase linearly with
time, such that W = C¡t and B = C2t where Ci and C2
are positive constants. [Hint: Hmmm, there's a time
changing magnetic flux in this problem. Better use
Faraday's Law...]
a) Calculate the magnitude of the current, I, induced in
the loop at time t.
b) In which direction does the induced current flow? Use Lenz's law to explain why.
В
X
х х
L
х х
X
X
X
X
W
х х х
х х
X
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