Problem 4. Consider the black line in the figure below that serves as the boundary of a square area of 0.1 by 0.1 meters. Suppose the electric field in the vicinity of this square area can be well approximated by &(F,t) = E(y, t)2 such that E (0.1, t) – E(0,t) = 20 at some time t. Suppose also that any magnetic field around the same area is completely uniform and direction in the â direction. a) What is the rate (time derivative) of the magnetic flux density B(7, t) variation? Don't just state your answer. Justify using clear statements of any physical laws and explain carefully

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Problem 4. Consider the black line in the figure below that serves as the boundary of a square
area of 0.1 by 0.1 meters. Suppose the electric field in the vicinity of this square area can be
well approximated by &(F.t) = E(y, t)2 such that E(0.1, t) – E(0, t) = 20 at some time t.
Suppose also that any magnetic field around the same area is completely uniform and direction
in the î direction.
a) What is the rate (time derivative) of the magnetic flux density B(†, t) variation? Don't
just state your answer. Justify using clear statements of any physical laws and explain
carefully.
b) Aksuming there are no free currents in the region around the square, what is the rate of
the electric displacement time variation? Justify using clear statements of any physical
laws and explain carefully.
E(F,t)
0.1m
0.1m
Transcribed Image Text:Problem 4. Consider the black line in the figure below that serves as the boundary of a square area of 0.1 by 0.1 meters. Suppose the electric field in the vicinity of this square area can be well approximated by &(F.t) = E(y, t)2 such that E(0.1, t) – E(0, t) = 20 at some time t. Suppose also that any magnetic field around the same area is completely uniform and direction in the î direction. a) What is the rate (time derivative) of the magnetic flux density B(†, t) variation? Don't just state your answer. Justify using clear statements of any physical laws and explain carefully. b) Aksuming there are no free currents in the region around the square, what is the rate of the electric displacement time variation? Justify using clear statements of any physical laws and explain carefully. E(F,t) 0.1m 0.1m
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