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The starter motor of a car engine draws a current of 180 A from the battery. The copper wire to the motor is?
The starter motor of a car engine draws a current of 180 A from the battery. The copper wire to the motor is 5.0 mm in diameter and 1.2 m long. The starter motor runs for 0.70 s until the car engine starts.
(a) How much charge passes through the starter motor?
______ C
(b) How far does an electron travel along the wire while the starter motor is on?
______ mm
2 Answers
- Anonymous8 years agoFavorite Answer
(a) current is amount of charge/time => amt of charge = current x time=180A x 0.70 sec
(b) You need to find the drift velocity of electrons for this part. The current I = nev_dA, => v_d = I/neA
or v_d = 180A/(pir^2 ne ). The distance travelled by electrons in 0.70 sec = v_d x (0.7 sec)
find n and e from your book or Google and plug it in and calculate.
- 8 years ago
Current is defined as the rate at which charges pass.
I = Q/t
It = Q
180 A * 0.7 s = 126 As = 126 C
v = I M / (ρ Na q f A)
v = (180 A) (63.546 g/mol) / [ (8.96 g/mL) * (6.02214*10²³ atoms / mol) * (1.6022*10⁻¹⁹ C/electron) * (1 electron/atom) * ( π (2.5 mm)² ) ]
I is the current, M is the molar mass of copper
ρ is the density of copper, Na is Avogadro's number
q is the coulomb charge on the electron (the fundamental charge)
f is the number of free electrons per atom that copper has. A is the cross-sectional area of the wire.
Make sure units match. Follow the dimensional analysis.