In a certain region of space, the current density is ] = C(x³î + y³ĵ + z³k) being the value of the constant "C" equal to 10¯³, the coordinates x, y and z are in meters. I) II) III) Find the units of the constant C. How fast does the charge density "p" (in C/m³.s) change at the point P with coordinates equal to (2, -1, 4) m? Find the rate of change of the electric charge contained in a sphere of radius R=20 cm with center at the origin 0, for a given instant of time.
In a certain region of space, the current density is ] = C(x³î + y³ĵ + z³k) being the value of the constant "C" equal to 10¯³, the coordinates x, y and z are in meters. I) II) III) Find the units of the constant C. How fast does the charge density "p" (in C/m³.s) change at the point P with coordinates equal to (2, -1, 4) m? Find the rate of change of the electric charge contained in a sphere of radius R=20 cm with center at the origin 0, for a given instant of time.
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![In a certain region of space, the current density is ] = C(x³î + y³ĵ + z³k),
being the value of the constant "C" equal to 10-3, the coordinates x, y and
z are in meters.
I)
II)
III)
Find the units of the constant C.
How fast does the charge density "p" (in C/m³.s) change at the
point P with coordinates equal to (2, -1, 4) m?
Find the rate of change of the electric charge contained in a
sphere of radius R=20 cm with center at the origin 0, for a given
instant of time.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc9a61a3d-7f24-4601-823b-dadb16e98883%2Fe0449f42-10d4-4b2b-bbfa-6b60a1a4d222%2Fwv2k5re_processed.png&w=3840&q=75)
Transcribed Image Text:In a certain region of space, the current density is ] = C(x³î + y³ĵ + z³k),
being the value of the constant "C" equal to 10-3, the coordinates x, y and
z are in meters.
I)
II)
III)
Find the units of the constant C.
How fast does the charge density "p" (in C/m³.s) change at the
point P with coordinates equal to (2, -1, 4) m?
Find the rate of change of the electric charge contained in a
sphere of radius R=20 cm with center at the origin 0, for a given
instant of time.
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