1 Dimensional Analysis The SI unit of charge is the coulomb, denoted by the symbol C. The SI unit of current is the ampere, denoted by the symbol A. A current of one ampere delivers a charge of one coulomb every second: 1 A = 1C/s. The elementary charge is the charge of a single proton. It is defined to be exactly e = 1.602 176 634 × 10-19 C, where C denotes a coulomb, the SI unit of charge. (a) How long does it take for a current of 1A to transport an the equivalent charge of 1 mol of protons? Report your result in seconds, hours, and days. (b) The electric force between two charged objects is F =k9Q F is the force, q and Q are electrical charges, and r is the distance between charges. What are the dimensions of the constant k in terms of mass () length (1) time (T) and charge (oY
1 Dimensional Analysis The SI unit of charge is the coulomb, denoted by the symbol C. The SI unit of current is the ampere, denoted by the symbol A. A current of one ampere delivers a charge of one coulomb every second: 1 A = 1C/s. The elementary charge is the charge of a single proton. It is defined to be exactly e = 1.602 176 634 × 10-19 C, where C denotes a coulomb, the SI unit of charge. (a) How long does it take for a current of 1A to transport an the equivalent charge of 1 mol of protons? Report your result in seconds, hours, and days. (b) The electric force between two charged objects is F =k9Q F is the force, q and Q are electrical charges, and r is the distance between charges. What are the dimensions of the constant k in terms of mass () length (1) time (T) and charge (oY
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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Transcribed Image Text:1 Dimensional Analysis
The SI unit of charge is the coulomb, denoted by the symbol C. The SI unit of current is the ampere, denoted by the
symbol A. A current of one ampere delivers a charge of one coulomb every second: 1 A = 1C/s.
The elementary charge is the charge of a single proton. It is defined to be exactly e = 1.602 176 634 x 10-19 C, where
C denotes a coulomb, the SI unit of charge.
(a) How long does it take for a current of 1 A to transport an the equivalent charge of 1 mol of protons?
Report your result in seconds, hours, and days.
(b) The clectric force between two charged objects is
F =k9Q
r2
F is the force, q and Q are electrical charges, and r is the distance between charges. What are the dimensions of
the constant k, in terms of mass (M), length (L), time (T), and charge (Q)?
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