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Chapter 12: Problem 1705

Which of the following has negative temperature coefficient of resistance? (A) \(\mathrm{Fe}\) (B) \(\mathrm{C}\) (C) \(\mathrm{Mn}\) (D) Ag

Short Answer

Expert verified
Carbon (\(\mathrm{C}\)) has a negative temperature coefficient of resistance, meaning its resistance decreases as the temperature increases. Therefore, the correct answer is (B) Carbon.

Step by step solution

01

Option A: Iron (\(\mathrm{Fe}\))

Iron has a positive temperature coefficient of resistance, meaning that the resistance increases as the temperature increases. Therefore, Iron is not the correct answer.
02

Option B: Carbon (\(\mathrm{C}\))

Carbon is unique among the choices here because it has a negative temperature coefficient of resistance. As the temperature increases, its resistance decreases. Therefore, Carbon is the correct answer.
03

Option C: Manganese (\(\mathrm{Mn}\))

Manganese has a positive temperature coefficient of resistance, meaning that the resistance increases as the temperature increases. Therefore, Manganese is not the correct answer.
04

Option D: Silver (\(\mathrm{Ag}\))

Silver has a positive temperature coefficient of resistance, meaning that the resistance increases as the temperature increases. Therefore, Silver is not the correct answer. After evaluating each option, we can conclude that: Carbon (B) has a negative temperature coefficient of resistance and is the correct answer.

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Key Concepts

These are the key concepts you need to understand to accurately answer the question.

Negative Temperature Coefficient
Some materials have what is called a "negative temperature coefficient of resistance." This is a property where the resistance of the material decreases as the temperature increases. Carbon, for instance, demonstrates this trait. When you heat carbon, its resistance drops. This behavior is unusual because many conductive materials, like metals, tend to show an increase in resistance when heated. This property can be very valuable in certain applications, such as in thermistors used for temperature sensing.
Here are a few key points about materials with a negative temperature coefficient:
  • Resistance decreases with an increase in temperature.
  • Common in semiconductors and some alloys.
  • Useful in applications where resistance changes can be used for thermal management or sensors.
Materials Resistance
Resistance is an intrinsic property of materials that opposes the flow of electric current. Every material has a distinct resistance, which depends on its atomic structure. For materials like iron, manganese, and silver, their resistance increases as the temperature rises, which means they have a positive temperature coefficient. Understanding a material's resistance is crucial for electrical circuit design and applications.
Different factors influence a material's resistance:
  • Type of Material: Conductors have low resistance, while insulators have high resistance.
  • Temperature: For most metals, resistance increases with temperature. However, for materials with a negative temperature coefficient, resistance decreases with temperature.
  • Dimensions: Longer wires have higher resistance, and thicker wires have lower resistance.
Electrical Conductivity
Electrical conductivity is a measure of a material's ability to conduct electric current. It is the inverse of resistance: materials with high conductivity have low resistance. Metals like silver, iron, and manganese are typically high conductors because their electrons can move freely, allowing electricity to pass through easily.
Conductivity depends on several factors:
  • Material Composition: Metals are generally good conductors; non-metals are often not.
  • Temperature: Higher temperatures usually decrease conductivity in metals but increase it in materials with a negative temperature coefficient, like carbon.
  • Crystalline Structure: The orderly pattern of atoms in a metal helps in the efficient movement of electrons.

Understanding conductivity is essential when selecting materials for electrical applications, ensuring efficient energy transfer and safety.

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Most popular questions from this chapter

A wire is bent in the form of a circle of radius \(4 \mathrm{~m}\) Resistance per unit length of wire is \(1 / \pi \Omega / \mathrm{m}\) battery of \(6 \mathrm{~V}\) is connected between \(\mathrm{A}\) and \(\mathrm{B} \angle \mathrm{AOB}=90^{\circ}\) Find the current through the battery (A) \(8 \mathrm{~A}\) (B) \(4 \mathrm{~A}\) (C) \(3 \mathrm{~A}\) (D) \(9 \mathrm{~A}\)

A heater boils \(1 \mathrm{~kg}\) of water in time \(\mathrm{t}_{1}\) and another heater boils the same water in time \(\mathrm{t}_{2}\) If both are connected in series, the combination will boil the same water in time. (A) \(\left\\{\left(\mathrm{t}_{1} \mathrm{t}_{2}\right) /\left(\mathrm{t}_{2}+\mathrm{t}_{1}\right)\right\\}\) (B) \(\left\\{\left(\mathrm{t}_{1} \mathrm{t}_{2}\right) /\left(\mathrm{t}_{1}-\mathrm{t}_{2}\right)\right\\}\) (C) \(\mathrm{t}_{1}+\mathrm{t}_{2}\) (D) \(2\left(\mathrm{t}_{1}+\mathrm{t}_{2}\right)\)

The network is made of uniform wire. The resistance of portion EL is \(2 \Omega\). Find the resistance of star between points \(F \& C .\) (A) \(0.985 \Omega\) (B) \(1.25 \Omega\) (C) \(1.946 \Omega\) (D) \(1.485 \Omega\)

Assertion and reason are given in following questions each question has four options one of them is correct select it. (a) Both assertion and reason are true and the reason is correct reclamation of the assertion. (b) Both assertion and reason are true, but reason is not correct explanation of the assertion. (c) Assertion is true, but the reason is false. (d) Both, assertion and reason are false. Assertion: There is no current in the metals in the absence of electric field. Reason: Motion of free electrons is random. (A) a (B) \(b\) (C) \(\mathrm{c}\) (D) \(\mathrm{d}\)

At what temperature will the resistance of a copper wire be three times its value at \(0^{\circ} \mathrm{C}\) ? (Given: temperature coefficient of resistance for copper \(=4 \times 10^{-3}{ }^{\circ} \mathrm{C}^{-1}\) ) (A) \(400^{\circ} \mathrm{C}\) (B) \(450^{\circ} \mathrm{C}\) (C) \(500^{\circ} \mathrm{C}\) (D) \(550^{\circ} \mathrm{C}\)
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