A silver conductor has a resistance of 25 at o'c. Determine the temperature coefficient of resistance at o'c and the resistance at -30 °C.

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Answer 1

The temperature coefficient of resistance at o'c is 0.0038/°C and the resistance of the silver conductor at -30°C is 22.65 Ω.

Resistance of silver conductor at o'c, R₀ = 25 Temperature coefficient of resistance at o'c = 0.0038/°C Resistance of silver conductor at -30°C, R = We have the relation, R = R₀ (1 + αt)Here, α is the temperature coefficient of resistance and t is the change in temperature. We have to determine the temperature coefficient of resistance at o'c and the resistance at -30°C. To determine the temperature coefficient of resistance at o'c, we can use the given formula,α = (R - R₀)/(R₀ × t)Here, R₀ = 25, t = 1 (change in temperature from 0°C to 1°C)And, we know that α₀ = 0.0038/°C Substituting these values,α = (R - 25)/(25 × 1) = 0.0038/°CO n solving, we get, R - 25 = 0.0038 × 25R - 25 = 0.095R = 25 + 0.095 = 25.095The resistance of the silver conductor at 1°C is 25.095 Ω                                                                                                                we have to determine the resistance of the silver conductor at -30°C. Using the same relation, we can write, R = R₀ (1 + αt)Here, R₀ = 25, t = -30°C - 0°C = -30°CAnd we know that α = 0.0038/°C Substituting these values, R = 25 (1 + 0.0038 × (-30))= 25 (1 - 0.114) = 22.65 Ω, the resistance of the silver conductor at -30°C is 22.65 Ω.

The temperature coefficient of resistance at o'c is 0.0038/°C and the resistance of the silver conductor at -30°C is 22.65 Ω.

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Related Questions

In the Project Opportunity Assessment, the first question is the aim of all questions.
True/False
A problem statement is an unstructured set of statements that describes the purpose of an effort in terms of what problem it’s trying to solve.
True/False

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In the Project Opportunity Assessment, the first question is the aim of all questions. The statement is False. A problem statement is an unstructured set of statements that describes the purpose of an effort in terms of what problem it’s trying to solve. The statement is True.

The Project Opportunity Assessment is the initial phase of project planning and evaluation. It is also known as an opportunity assessment. This stage helps organizations to determine whether the project is worthwhile or not and whether it aligns with their objectives and goals.

This stage considers the project's practicality and viability in terms of cost, timeline, and resource allocation. To achieve this, project managers ask several questions to determine the project's feasibility, market demand, and potential benefits. The first question in this process is not the aim of all questions. Instead, this phase has several questions that are crucial to the project's success.A problem statement is a clear and concise statement that explains the issue that needs to be addressed in the project. It provides a background for the project, highlights the gap in existing knowledge, and explains the significance of the issue.

The problem statement is used to guide the project's scope, objectives, and goals. It helps to identify the stakeholders and their expectations. It also serves as a tool for communication between the project team and stakeholders. Therefore, the statement "A problem statement is an unstructured set of statements that describes the purpose of an effort in terms of what problem it’s trying to solve" is True.

The Project Opportunity Assessment is an essential stage in project management. It helps organizations to assess the feasibility of the project and determine its potential benefits. The stage involves asking several questions to ensure the project aligns with the organization's objectives and goals. The first question is not the aim of all questions, but rather one of several critical questions.

Additionally, the problem statement is an essential tool in project management. It helps to guide the project's scope, objectives, and goals. It is also used to identify stakeholders and communicate with them. Thus, a problem statement is an unstructured set of statements that describes the purpose of an effort in terms of what problem it’s trying to solve.

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Show that the communalities in a factor analysis model are unaffected by the transformation A = AM Ex. 5.3 Give a formula for the proportion of variance explained by the jth factor estimated by the principal factor approach.

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In factor analysis, communalities measure the amount of variance of the variables that are accounted for by the common factors. These communalities are typically estimated by the initial solution of factor analysis. A transformation of variables does not change the communalities in the factor analysis model.

Explanation: A = AM transformation In factor analysis, the variables can be transformed by an orthogonal transformation. This transformation does not change the communalities of the factor analysis model. The transformation can be written as A = AM where A is a transformed variable matrix, M is an orthogonal transformation matrix, and A is the original variable matrix.

Proportion of variance explained The proportion of variance explained by the jth factor estimated by the principal factor approach is given by the formula.

Var(j)/ (total variance) where Var(j) is the variance of the jth factor, and (total variance) is the total variance of the variables.

There are several methods to estimate the proportion of variance explained by the j th factor.

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