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Copper has a resistivity of Q_c = 1.72 times 10^-8 ohm middot m. An extension co

ID: 1528964 • Letter: C

Question

Copper has a resistivity of Q_c = 1.72 times 10^-8 ohm middot m. An extension cord made of copper is connected to a DC electric motor which requires a current of at least I_min = 13 A in order to operate. The cord is connected to a V = 166 V source. Input an expression for the maximum ratio of length to cross-sectional area, gamma, the cord can have if the motor is to operate. gamma max = What is the ratio numerically in 1/m? Experimentally, it is found that the maximum length the cord can be is = 30 m. What is the wire's maximum diameter,

Explanation / Answer

According to ohms law V=IR =ipl/a

a=ipl/v =105*1072*10^-8*1/1.66 =1.55m^2

r=1/1.55 =0.645 m^-1

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