Copper has a resistivity of ̑̑c = 1.72 × 10⁻⁸ Ω·m. An extension cord made of copper is connected to a DC electric motor which requires a current of at least Imin = 6.5 A in order to operate. The cord is connected to a V = 196 V source.
Part (a) Input an expression for the maximum ratio of length to cross-sectional area, γ, the cord can have if the motor is to operate.
Part (b) What is the ratio numerically in 1/m?
Part (c) Experimentally, it is found that the maximum length the cord can be is Lmax = 30 m. What is the wire's minimum diameter, Dmin, in meters?