(a) What are the units of resistivity (in terms of the fundamental units of kg, m, s, C)? (b) What are the units of current density (in terms of the fundamental units of kg, m, s, C)? (c) Confirm that equation 24.3 has the same units on both sides of the equal sign.

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Chapter1: Units, Trigonometry. And Vectors
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1. A B C
ed va gives the current density:
J = nqva (current density)
(24.3)
ensity is uniform, as in a wire, the total current is just the product
and the wire's cross-sectional area A: I- JA But when the current
Transcribed Image Text:ed va gives the current density: J = nqva (current density) (24.3) ensity is uniform, as in a wire, the total current is just the product and the wire's cross-sectional area A: I- JA But when the current
The SI unit of charge, as you know, is a Coulomb (C). The unit of current is the Ampere: 1 A=1C/s.
(a) What are the units of resistivity (in terms of the fundamental units of kg, m, s, C)?
(b) What are the units of current density (in terms of the fundamental units of kg, m, s, C)?
(c) Confirm that equation 24.3 has the same units on both sides of the equal sign.
(d) Confirm that equation 24.4a, the microscopic version of Ohm's law, has the same units on both
sides of the equal sign.
(e) Confirm that equation 24.7, the expression for electrical power, has units of energy divided by
time.
Transcribed Image Text:The SI unit of charge, as you know, is a Coulomb (C). The unit of current is the Ampere: 1 A=1C/s. (a) What are the units of resistivity (in terms of the fundamental units of kg, m, s, C)? (b) What are the units of current density (in terms of the fundamental units of kg, m, s, C)? (c) Confirm that equation 24.3 has the same units on both sides of the equal sign. (d) Confirm that equation 24.4a, the microscopic version of Ohm's law, has the same units on both sides of the equal sign. (e) Confirm that equation 24.7, the expression for electrical power, has units of energy divided by time.
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