A circular conducting loop of radius 26.6 cm and resistance 4.2 is held at rest in the x-y plane. A uniform but time varying magnetic field exists which can point either out of the page (+z) or into the page (-z). The z-component of the magnetic field changes according to the graph shown. • From t = 0 s to t = 4.6 s, the magnetic field is given by: B(t) = Ct³ where C is a constant with value C = 55 mT/s³. • From t = 4.6 s to t = 7 s, the magnetic field has a constant value of Bo. • From t = 7 s to t = 12.5 s, the magnetic field linearly decreases from Bo to -Bo/2.

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A circular conducting loop of radius 26.6 cm and resistance 4.2 9 is held at rest in the x-y plane. A uniform but time
varying magnetic field exists which can point either out of the page (+z) or into the page (-z). The z-component of
the magnetic field changes according to the graph shown.
• From t = 0 s to t = 4.6 s, the magnetic field is given by: B(t) = Ct³ where C is a constant with value C = 55 mT/s³.
• From t = 4.6 s to t = 7 s, the magnetic field has a constant value of B..
• From t = 7 s to t = 12.5 s, the magnetic field linearly decreases from Bo to -Bo/2.
y
B field Region
X
B₂
Bo
-B₂12
t2
1) What is the magnitude of the magnetic flux through the loop at t = 3 s? Enter your answer in units of T · m².
T.m² Submit
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t3 t(s)
2) What is the magnitude of the EMF induced in the loop at t = 3 s? Enter your answer in V.
V Submit
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3) What is the induced current in the loop at t = 3 s? A positive value corresponds to a counterclockwise current. Enter
your answer in A.
A Submit
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Transcribed Image Text:A circular conducting loop of radius 26.6 cm and resistance 4.2 9 is held at rest in the x-y plane. A uniform but time varying magnetic field exists which can point either out of the page (+z) or into the page (-z). The z-component of the magnetic field changes according to the graph shown. • From t = 0 s to t = 4.6 s, the magnetic field is given by: B(t) = Ct³ where C is a constant with value C = 55 mT/s³. • From t = 4.6 s to t = 7 s, the magnetic field has a constant value of B.. • From t = 7 s to t = 12.5 s, the magnetic field linearly decreases from Bo to -Bo/2. y B field Region X B₂ Bo -B₂12 t2 1) What is the magnitude of the magnetic flux through the loop at t = 3 s? Enter your answer in units of T · m². T.m² Submit You currently have 0 submissions for this question. Only 10 submission are allowed. You can make 10 more submissions for this question. t3 t(s) 2) What is the magnitude of the EMF induced in the loop at t = 3 s? Enter your answer in V. V Submit You currently have 0 submissions for this question. Only 10 submission are allowed. You can make 10 more submissions for this question. 3) What is the induced current in the loop at t = 3 s? A positive value corresponds to a counterclockwise current. Enter your answer in A. A Submit You currently have 0 submissions for this question. Only 10 submission are allowed. You can make 10 more submissions for this question.
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