A bar of length L = 0.33 m is placed on metallic rails in such a way that a circuit with resistance R = 31.0 2 is formed. At time t = 0 s the length of the rails is x; = 0.17 m. The bar is moving to the right (+x direction) with constant speed v = 0.10 m/s. The rail is placed in a magnetic field B(t) :-0.030t k, where t is in seconds. X X X X X X X X X t > 0 s X AX L B(t) What is the absolute value of the EMF induced in the circuit at time t = 0.60 s? Hints:

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A bar of length L = 0.33 m is placed on metallic rails in such a way that a circuit with
resistance R = 31.0 2 is formed.
At time t = 0 s the length of the rails is x; = 0.17 m. The bar is moving to the right
(+x direction) with constant speed v = 0.10 m/s.
The rail is placed in a magnetic field B(t)
= -0.030t k, where t is in seconds.
t > 0 s
X AX
B(t)
What is the absolute value of the EMF induced in the circuit at time t = 0.60 s?
Hints:
• Use the product rule if you are taking the time-derivative of the product of
two functions that both have time dependence: fg
• You can should use the velocity to determine how long the rectangular loop is
in the x-direction at time t = 0.60 s, but notice that the loop had initial length
X; = = 0.17 m.
di 8 + fd
Provide your answer in millivolts, use appropriate symbols. Express your answer with
three significant figures, do not use scientific notation. Using more significant figures
will not be considered incorrect, using fewer may cause errors due to rounding.
Your Answer:
mv
Answer
units
Transcribed Image Text:A bar of length L = 0.33 m is placed on metallic rails in such a way that a circuit with resistance R = 31.0 2 is formed. At time t = 0 s the length of the rails is x; = 0.17 m. The bar is moving to the right (+x direction) with constant speed v = 0.10 m/s. The rail is placed in a magnetic field B(t) = -0.030t k, where t is in seconds. t > 0 s X AX B(t) What is the absolute value of the EMF induced in the circuit at time t = 0.60 s? Hints: • Use the product rule if you are taking the time-derivative of the product of two functions that both have time dependence: fg • You can should use the velocity to determine how long the rectangular loop is in the x-direction at time t = 0.60 s, but notice that the loop had initial length X; = = 0.17 m. di 8 + fd Provide your answer in millivolts, use appropriate symbols. Express your answer with three significant figures, do not use scientific notation. Using more significant figures will not be considered incorrect, using fewer may cause errors due to rounding. Your Answer: mv Answer units
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