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stepladder [879]
4 years ago
13

When the starter motor on a car is engaged, there is a 300 A cunent in the wires between the bauery and the motor. Suppose the w

ires are made of copper and have a total length of 1.0 m. What minimum diameter can the wires have if the voltage drop along the wires is to be less than 0.50 V? Problems
Physics
1 answer:
docker41 [41]4 years ago
4 0

Answer:

diameter of transmission is 3.473 mm

Explanation:

given data

current = 300 A

total wire length = 1.0 m

voltage drop = 0.55 V

solution

as here Resistivity of copper is = 1.68 × 10^{-8} ohm- m

so we get here resistance of wire that is

resistance = \frac{V}{I}    ..............1

R = \frac{0.55}{310}  

R = 1.774 × 10^{-3}  ohm

and now we get diameter of wire that is

R = \frac{\rho l}{A}    .............2

\pi \frac{d^2}{4} = \frac{\rho l}{R}    

d² = \frac{4\rho l}{\pi R}     ...............3

put here value

d² = \frac{4\times 1.68\times 10^{-8} \times 1}{\pi \times 1.774\times 10^{-3}}  

d = \sqrt{12.064\times 10^{-6}}

d = 3.473 × 10^{-3} m

d = 3.473 mm

so diameter of transmission is 3.473 mm

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