Physics · Current Electricity
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Which of the following pairs have the same units and dimensions?
- A
Resistance and resistivity
- B
Conductivity and resistivity
- C
Electromotive force and potential difference
- D
Resistivity and temperature coefficient of resistivity
The correct answer is Option C: Electromotive force and potential difference. Both are measured in volts (V) and have the same dimensions. EMF represents the energy provided per coulomb of charge, while potential difference measures the energy used per coulomb as it moves between two points.
Option A is incorrect because resistance and resistivity have different units. Resistance is in ohms (Ω), whereas resistivity is in ohm-meters (Ω⋅m).
Option B is incorrect because conductivity and resistivity are inversely related but have different units; conductivity is in siemens per meter (S/m) and resistivity is in ohm-meters (Ω⋅m).
Option D is incorrect because resistivity and the temperature coefficient of resistivity have different units; resistivity is in ohm-meters (Ω⋅m) and the temperature coefficient of resistivity is in per degree Celsius (1/°C).
Resistance is measured in ohms (Ω), while resistivity is measured in ohm-meters (Ω⋅m). They have different units and dimensions.
Conductivity is measured in siemens per meter (S/m), the inverse of resistivity, which is measured in ohm-meters (Ω⋅m). They do not have the same units or dimensions.
Both electromotive force (EMF) and potential difference are measured in volts (V), thus they share the same units and dimensions.
Resistivity is measured in ohm-meters (Ω⋅m), whereas the temperature coefficient of resistivity has units of per degree Celsius (1/°C), indicating different units and dimensions.
Tagged under Physics · Current Electricity · 2012