A 9-V Battery Is Hooked Up to Two Resistors in Series

question 32

Multiple Choice

A 9-V battery is hooked up to two resistors in series using wires of negligible resistance. One has a resistance of 5 Ω, and the other has a resistance of 10 Ω. Several locations along the circuit are marked with letters, as shown in the figure. Which statements about this circuit are true? (There could be more than one correct choice.)

• A) The current is exactly the same at points A, B, C, and D.
• B) The current at A is greater than the current at B, which is equal to the current at C, which is greater than the current at D.
• C) The current at A is greater than the current at B, which is greater than the current at C, which is greater than the current at D.
• D) The potential at B is equal to the potential at C.
• E) The potential at D is equal to the potential at C.

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Definitions:

Constraint

A limitation or restriction in a system that can affect performance and output, often in the context of production or project management.

Linear Programming

A mathematical method used to find the best outcome in a model whose requirements are represented by linear relationships.

Sensitivity Analysis

A technique used to determine how different values of an independent variable affect a particular dependent variable under a given set of assumptions.

Constraints

Limitations or restrictions that impact the decision-making process, often used in the context of optimization problems and project planning.