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Question

Insulators have resistivity of the order of ________.

This question was previously asked in
RRB ALP 2018 CBT 2 Fitter Question Paper (21-Jan-2019) (Shift 3)
The correct answer is

10 4Ωm to 10 16 Ωm

Understanding Insulator Resistivity Ranges

Resistivity is a fundamental property of a material that quantifies how strongly it resists electrical current flow. It is an intrinsic property, meaning it does not depend on the shape or size of the material.

Materials are broadly classified based on their resistivity:

  • Conductors: Materials with very low resistivity, allowing current to flow easily. Examples include metals like copper and aluminum.
  • Semiconductors: Materials with resistivity between that of conductors and insulators. Their conductivity can be controlled. Examples include silicon and germanium.
  • Insulators: Materials with very high resistivity, strongly resisting current flow. Examples include rubber, glass, and ceramics.

Why Do Insulators Have High Resistivity?

Insulators have a very small number of free charge carriers (like free electrons) available to move and carry current. The electrons in insulator materials are tightly bound to their atoms, requiring a large amount of energy to become free. This lack of free charge carriers results in a very high resistance to the movement of electric current, which translates to high resistivity.

Typical Resistivity Values

The resistivity of materials spans a vast range. Here are typical ranges for different types of materials:

Material Type Typical Resistivity Range ($\Omega$m)
Conductors $10^{-8}$ to $10^{-6}$
Semiconductors $10^{-6}$ to $10^{4}$
Insulators $10^{4}$ to $10^{16}$ (or even higher)

Comparing these typical values with the given options for insulators:

  • Option 1: $10^{6} \Omega$m to $10^{8} \Omega$m
  • Option 2: $10^{6} \Omega$m to $10^{7} \Omega$m
  • Option 3: $10^{4} \Omega$m to $10^{7} \Omega$m
  • Option 4: $10^{4} \Omega$m to $10^{16} \Omega$m

The range for insulators is typically very wide, starting from values around $10^4 \Omega$m and going up to $10^{16} \Omega$m or even much higher for excellent insulators like Teflon or quartz. Option 4 covers this broad and accurate range for the resistivity of insulators.

Analyzing the Options for Insulator Resistivity

Let's look at how the options compare to the known resistivity ranges:

  • Options 1, 2, and 3 represent only a small part of the full spectrum of insulator resistivity. While some materials in these ranges might be considered poor insulators or semiconductors, the full definition of insulators covers a much higher range.
  • Option 4, $10^{4} \Omega$m to $10^{16} \Omega$m, accurately reflects the vast range of resistivity exhibited by materials classified as insulators, from those that are moderately insulating to those that are excellent insulators.

Therefore, the order of resistivity for insulators is typically in the range of $10^{4} \Omega$m to $10^{16} \Omega$m.

Revision Table: Electrical Properties

Property Description Unit
Resistivity ($\rho$) Material's opposition to current flow Ohm-meter ($\Omega$m)
Conductivity ($\sigma$) Material's ability to conduct current Siemens per meter (S/m)
Relationship $\sigma = \frac{1}{\rho}$

Additional Information: Factors Affecting Resistivity

The resistivity of a material is not always constant and can be affected by several factors:

  • Temperature: For conductors, resistivity generally increases with temperature. For semiconductors and insulators, resistivity generally decreases with increasing temperature.
  • Material Composition: Impurities or changes in the composition of a material can significantly alter its resistivity.
  • Structure: The crystalline structure or phase of a material can influence its resistivity.

Understanding resistivity is crucial for selecting appropriate materials for various electrical and electronic applications, ensuring efficient current flow in conductors and effective insulation where current flow must be prevented.

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