car batteries are usually rated in A. h (ampere hours), which is a unit ofcharge

Question

car batteries are usually rated in A. h (ampere hours), which is a unit ofcharge. This rating tells us how much total charge the battery is capable of providing before it fails. The battery in Sam's new car is rated at 249 A. h. (a) Determine the total charge that this battery is capable of providing. (b) what maximum current does this battery provide in 30 minutes? La Reading My Notes o Ask Your Teach Consider a copper wire with a diameter of 1.47 mm. atom contributes one free electron (a) what is the drift speed of the electrons in the copper wire when a current of 15.0 A flows through it? Assume that each copper to the metal. The density of copper is 8.92 g/cm (b) How does this drift speed compare to the random rms speed of an electron at 2 oec? To make this comparison, determine the random rms speed of an electron at 20.0°c using the ideal gas model and find the ratio of the two speeds. 20.3 WA017 Tutorial. As part of a class project You are given 0,900 g of copper and asked to fabricate a wire with uniform cross-section. You use up 95% of the copper and make a wire with a resistance of o oo3 n. The resistivity of copper is 1.72 x 10 n m and its density is s 92 x 10 kg/m3.

Explanation / Answer

1) a

q = i*t = 249*3600 = 8.96*10^5 C

b) i = 249*60/30 = 498 amp

3) n = 8.45*10^28 electrons/m^3

v = i/nqA = 15/8.45*10^28*1.6*10^-19*1.696*10^-6

v = 6.54*10^-4 m/s

vrms = sqrt(3RT/M) = 339.81 m/s

vrms/v = 339.81/6.54*10^-4 = 51.96*10^4

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