A wire of uniform cross section A , length 1 and resistance R is cut into two equal pieces. The resistivity of each piece will be
Correct answer: A. the same
- A. the same
- B. one fourth
- C. double
- D. one half
Explanation
Resistivity is a fundamental property of a material that describes its opposition to the flow of electric current. It is an intrinsic property, meaning it depends on the material's inherent nature and does not change with the shape or size of the conductor.The formula for resistance (R) is:R = ρ * (l / A)where:ρ (rho) is the resistivity of the material (measured in ohm-meters, Ω⋅m)l is the length of the conductor (meters, m)A is the cross-sectional area of the conductor (square meters, m²)In the given scenario, the wire is cut into two equal pieces. Since the resistivity (ρ) is a property of the material and doesn't change with the size or shape of the conductor, each of the two pieces will have the same resistivity as the original wire.
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Steady current relates charge flow to potential difference, resistance and resistivity, including how temperature changes a conductor's resistance. Sources with internal resistance have terminal voltage below their emf when delivering current, and maximum power output occurs under a specific load condition rather than at zero resistance.
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