a) Calculate the drift velocity of electrons in aluminum wire with a diameter of 3.20 mm carrying a 5.0 A current, given that there are three free electrons per aluminum atom. The density of aluminum is 2.70 × 10³ kg/m³ and the atomic mass of aluminum is 27.0 g/mol. [Hint: Current through a wire is given by: I = nqAvq. You may also find the following constants useful: e = 1.6 x 101C, NA = 6.02 x 1023 atoms/mol]

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a) Calculate the drift velocity of electrons in aluminum wire with a diameter of 3.20 mm carrying a 5.0 A current, given
that there are three free electrons per aluminum atom. The density of aluminum is 2.70 x 10 kg/m³ and the atomic mass
of aluminum is 27.0 g/mol. [Hint: Current through a wire is given by: I = nqAva. You may also find the following
constants useful: e = 1.6 x 10-19C, NA = 6.02 x 1023 atoms/mol]
b) During charging, a 330 µF capacitor, is connected in series to a 100 kN resistor. The battery used for charging has an
electromotive force of 12 V (neglect internal resistance of batter). The buildup of charge across the capacitor as a
function of time can be calculated from the equation:
Q(1) = Cɛ (1- e kC)
a) What is the charge stored in the capacitor at t = 0? Give your answer in µC.
b) What is the maximum amount of charge that can be stored on the capacitor. Give your answer in uC.
c) Calculate the charge stored in the capacitor after 33 seconds of charging. Give your answer in µC.
d) Calculate the instantaneous current flowing through the capacitor at t = 33 seconds. Give your answer in milliamps.
e) What is the maximum energy stored in the capacitor? Give your answer in Joules.
Transcribed Image Text:a) Calculate the drift velocity of electrons in aluminum wire with a diameter of 3.20 mm carrying a 5.0 A current, given that there are three free electrons per aluminum atom. The density of aluminum is 2.70 x 10 kg/m³ and the atomic mass of aluminum is 27.0 g/mol. [Hint: Current through a wire is given by: I = nqAva. You may also find the following constants useful: e = 1.6 x 10-19C, NA = 6.02 x 1023 atoms/mol] b) During charging, a 330 µF capacitor, is connected in series to a 100 kN resistor. The battery used for charging has an electromotive force of 12 V (neglect internal resistance of batter). The buildup of charge across the capacitor as a function of time can be calculated from the equation: Q(1) = Cɛ (1- e kC) a) What is the charge stored in the capacitor at t = 0? Give your answer in µC. b) What is the maximum amount of charge that can be stored on the capacitor. Give your answer in uC. c) Calculate the charge stored in the capacitor after 33 seconds of charging. Give your answer in µC. d) Calculate the instantaneous current flowing through the capacitor at t = 33 seconds. Give your answer in milliamps. e) What is the maximum energy stored in the capacitor? Give your answer in Joules.
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