∙An electric bus operates by drawing current from two...

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

Key Concepts

Electrical Power

Electrical power is the rate at which energy is transferred or converted in an electrical circuit. It is measured in watts, and understanding it is essential in designing and analyzing systems, as it connects energy consumption with parameters like voltage and current.

Relationship between Power, Voltage, and Current

This relationship is given by the formula P = IV, where P represents power, I represents current, and V represents voltage. This concept is fundamental in electrical engineering and physics because it allows one to calculate any one of these three quantities if the other two are known, facilitating the design and analysis of electrical devices and systems.

Magnetic Force between Parallel Currents

When two current-carrying conductors are placed close to each other, they exert magnetic forces on one another. This principle underlies many applications in electromagnetism. The force can be attractive or repulsive, depending on the direction of the currents, and understanding this interaction is key to analyzing electromagnetic systems and components.

Ampere’s Force Law

Ampere’s force law quantifies the magnetic force per unit length between two parallel conductors carrying currents. According to this law, the force is directly proportional to the product of the currents in the conductors and inversely proportional to the distance separating them. This concept is a cornerstone in the study of electromagnetism and is used in the design of electrical and electromagnetic devices.

Unit Conversion

Unit conversion is a fundamental process in physics and engineering that involves converting a quantity expressed in one set of units to another set. This is essential for ensuring consistency in calculations, interpreting physical quantities correctly, and accurately comparing results across different measurement systems.

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