A current of 1.5 A exists in a conductor whose terminals are...

A current of $1.5$ A exists in a conductor whose terminals are connected across a potential difference of 100 V. Compute the total charge transferred in one minute, the work done in transferring this charge, and the power expended in heating the conductor if all the electrical energy is converted into heat.

A current of $1.5$ A exists in a conductor whose terminals are connected across a potential difference of 100
V. Compute the total charge transferred in one minute, the work done in transferring this charge, and the power expended in heating the conductor if all the electrical energy is converted into heat.

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Key Concepts

Electrical Power

Electrical power is the rate at which work is done or energy is transferred in a circuit. It is calculated as the product of the current and the potential difference (P = IV) and is measured in watts. This concept is essential for evaluating how quickly energy is used or converted in electrical devices.

Electric Current

Electric current is defined as the rate at which electric charge flows through a conductor. It is measured in amperes (A), where one ampere equals one coulomb of charge passing through a point per second. This concept is crucial for understanding how charges move in an electrical circuit.

Charge Transfer

Charge transfer refers to the total amount of electrical charge that passes through a conductor over a given period. It is determined by multiplying the current by the time interval (expressed in seconds), which gives the charge in coulombs. This is a key concept when relating time, current, and charge in circuit analysis.

Electrical Work/Energy

In electrical systems, work or energy is the product of the charge transferred and the electric potential difference (voltage) across the conductor. This relationship shows how electrical energy is converted into other forms of energy, such as heat, and is quantified in joules. Understanding this concept is important for analyzing energy consumption in circuits.

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