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Chapter 4: Q61P (page 951)

An electric bus operates by drawing direct current from two parallel overhead cables, at a potential difference of 600 V, and spaced 55 cm apart. When the power input to the bus鈥檚 motor is at its maximum power of 65 hp, (a) what current does it draw and (b) what is the attractive force per unit length between the cables?

Short Answer

Expert verified

a) The current drawn by the electric bus is 80.8 A .

b) The attractive force per unit length between the cables is 2.4脳10-3N/m.

Step by step solution

01

(a) Determination of the current drawn by the electric bus

The expression relating power, voltage and current is,

P = VI

The power output in this case is 65 hp which is equal to 48,490 W.

Rearrange and solve for current,

I=PV=48,490W600V=80.8A

Thus, the current drawn by the electric bus is 80.8 A.

02

(b) Determination of the attractive force per unit length between the cables

The expression for attractive force between two current carrying wires is,

F=渭0LI1I22蟺r

The force per unit length is,

FL=渭0I1I22蟺谤=4蟺脳10鈭�7T鈰�m/A(80.8A)22蟺(0.55m)=2.4脳10鈭�3N/m

Thus, the force of attraction is 2.4脳10鈭�3N/m.

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