The Greek letter 'Omega' is used to represent which physical quantity in the International System of Units (SI

Question

The Greek letter 'Omega' is used to represent which physical quantity in the International System of Units (SI)?

Examoogle · Accepted Answer

The correct answer is Option C: Electric resistance. The Greek capital letter Omega ($\Omega$) is the internationally accepted symbol for the Ohm, the SI derived unit of electrical resistance. It represents the opposition to the flow of electric current in a conductor.

Step-by-Step Solution & Concepts:
The Greek capital letter Omega ($\Omega$) is the internationally accepted symbol for the Ohm, the SI derived unit of electrical resistance. It represents the opposition to the flow of electric current in a conductor.

Working Principle: According to Ohm's Law, resistance is the ratio of the potential difference across a conductor to the current flowing through it. When a potential difference of $1\,	ext{volt}$ across a conductor produces a current of $1\,	ext{ampere}$, the resistance is defined as $1\,	ext{ohm}$ ($\Omega$).

Key Formulas: $R = \frac{V}{I}$ — Ohm's Law where $R$ is resistance in $\Omega$, $V$ is voltage in volts, and $I$ is current in amperes.; $ho = R \cdot \frac{A}{L}$ — Resistivity formula where $A$ is cross-sectional area and $L$ is length.

Key Points: The Ohm is a derived unit in the SI system.; Electrical resistance is a measure of the difficulty to pass an electric current through that conductor.; The symbol $\Omega$ is used globally to represent the Ohm.; Resistance is a property of the material, geometry, and temperature of the conductor.

Advantages: Standardized unit allows for universal communication in circuit design.; Provides a direct measure for characterizing passive electronic components like resistors.

Disadvantages: Resistance is temperature-dependent for most conductors, requiring precise conditions for calibration.; The unit does not account for the phase angle present in complex impedance.

Applications: Calibration of multimeters and test equipment.; Specification of resistor values in electronic circuit design.; Characterization of insulation materials.

Additional Info: Option A (Electric potential difference) is measured in Volts (V).. Option B (Electrical conductance) is measured in Siemens (S), sometimes historically referred to as Mho ($\mho$), which is the inverse of the Ohm symbol.. Option D (Electric displacement field) is measured in Coulombs per square meter ($	ext{C/m}^2$).

Answer: C is correct — The Greek letter Omega ($\Omega$) is the standard SI unit symbol for electrical resistance (Ohm).

Exam Tip: Do not confuse the unit of conductance (Siemens, $S$) with the unit of resistance (Ohm, $\Omega$); conductance is the reciprocal of resistance, defined as $G = \frac{1}{R}$.

Examoogle · Answer

Option A: Electric potential difference

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Option B: Electrical conductance

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Option D: Electric displacement field

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