If two resistors of resistivity ρ are connected in series, what is the total res

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Question: If two resistors of resistivity ρ are connected in series, what is the total resistivity of the combination?

Options:

Correct Answer: ρ

Solution:

Resistivity is a property of the material and does not change with series or parallel connections.

If two resistors of resistivity ρ are connected in series, what is the total resistivity of the combination?

If two resistors of resistivity ρ are connected in series, what is the total resistivity of the combination?

Step 1: Understand what resistivity (ρ) means. It is a property of the material that determines how much it resists the flow of electric current.
Step 2: Recognize that resistivity is not the same as resistance. Resistance depends on both the resistivity of the material and the dimensions (length and area) of the resistor.
Step 3: Know that when resistors are connected in series, the total resistance increases, but the resistivity of the material remains the same.
Step 4: Conclude that the total resistivity of the combination of resistors in series is still the same as the resistivity of each individual resistor, which is ρ.

Resistivity – Resistivity is an intrinsic property of a material that quantifies how strongly it resists the flow of electric current.
Series Connection – In a series connection, the total resistance is the sum of the individual resistances, but resistivity remains constant as it is a material property.