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Difficulty: MediumElectricity and Magnetism

In the analysis of direct-current electrical circuits, fundamental physical quantities define how electrical energy is stored, transported, and dissipated. Match each electrical quantity on the left with its correct physical definition on the right.

  • Electric CurrentThe rate at which electric charge flows through a cross-sectional area of a conductor over time
  • Voltage (Electric Potential Difference)The amount of electric potential energy delivered or work done per unit of electric charge
  • Electrical ResistanceThe measure of a material's opposition to the passage of electric charge
  • Electrical PowerThe rate at which electrical energy is transferred, converted, or dissipated per unit of time

Answer

Electric Current matches 'The rate at which electric charge flows through a cross-sectional area of a conductor over time'; Voltage (Electric Potential Difference) matches 'The amount of electric potential energy delivered or work done per unit of electric charge'; Electrical Resistance matches 'The measure of a material's opposition to the passage of electric charge'; Electrical Power matches 'The rate at which electrical energy is transferred, converted, or dissipated per unit of time'.
Each term corresponds directly to its foundational physical definition in electromagnetism: Electric Current is the rate of charge flow (I=ΔQΔtI = \frac{\Delta Q}{\Delta t}), Voltage is the work/energy per unit charge (V=WQV = \frac{W}{Q}), Resistance is the opposition to charge movement (R=VIR = \frac{V}{I}), and Electrical Power is the time rate of total energy transfer (P=VIP = VI).

Step-by-Step Solution

1
Determine the physical definition of Electric Current.
Electric current is the flow of electric charge per unit time (I=ΔQΔtI = \frac{\Delta Q}{\Delta t}), which matches 'The rate at which electric charge flows through a cross-sectional area of a conductor over time'.
Current measures how many coulombs of charge pass through a point each second.
2
Determine the physical definition of Voltage (Electric Potential Difference).
Voltage is the potential energy difference per unit charge (V=WQV = \frac{W}{Q}), which matches 'The amount of electric potential energy delivered or work done per unit of electric charge'.
Voltage represents the electrical 'push' or work done to move a unit charge between two points.
3
Determine the physical definition of Electrical Resistance.
Resistance describes the opposition encountered by flowing charge (R=VIR = \frac{V}{I}), which matches 'The measure of a material's opposition to the passage of electric charge'.
Resistance impedes electric current and creates a potential drop across a circuit component.
4
Determine the physical definition of Electrical Power.
Electrical power is the rate of energy transformation or consumption (P=ΔEΔt=VIP = \frac{\Delta E}{\Delta t} = VI), which matches 'The rate at which electrical energy is transferred, converted, or dissipated per unit of time'.
Power quantifies how rapidly electrical potential energy is converted into thermal energy, light, or mechanical work.

Key Concept

Fundamental electrical circuit quantities, their standard physical definitions, and underlying unit relationships
Estimated Time:1m 0s
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Topics

Electricity and Magnetism

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