A steady uniform mass current density J = Jêz3 is flowing as shown in the figure. A hemisphere of radius R is placed as shown. A and B are the two parts of the surface heading out of the volume. M(t) is the mass inside the hemisphere due to the current. Find a false statement. J = Je3 A ↑ R B (a) dM dt (b) The mass per unit time entering the hemisphere is JTR². (c) The mass per unit time emerging from the hemisphere is JTR². (d) If the current density is due to a uniform current with the velocity vê3, then 2 M(t) = R³ =J&R². =
A steady uniform mass current density J = Jêz3 is flowing as shown in the figure. A hemisphere of radius R is placed as shown. A and B are the two parts of the surface heading out of the volume. M(t) is the mass inside the hemisphere due to the current. Find a false statement. J = Je3 A ↑ R B (a) dM dt (b) The mass per unit time entering the hemisphere is JTR². (c) The mass per unit time emerging from the hemisphere is JTR². (d) If the current density is due to a uniform current with the velocity vê3, then 2 M(t) = R³ =J&R². =
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Transcribed Image Text:A steady uniform mass current density
J = Jêz
is flowing as shown in the figure. A hemisphere of radius R is placed as shown. A and B are the two parts
of the surface heading out of the volume. M(t) is the mass inside the hemisphere due to the current. Find a
false statement.
J = Jê3
A
R
B
(a)
dM
=
dt
(b) The mass per unit time entering the hemisphere is
JTR².
(c) The mass per unit time emerging from the hemisphere is
JTR².
(d) If the current density is due to a uniform current with the velocity vê3, then
M(t) = 3²3R³
J&R².
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