The Electric Field in the Region Defined by the Y-Z

question 94

Multiple Choice

The electric field in the region defined by the y-z plane and the negative x axis is given by E = −ax, where a is a constant. (There is no field for positive values of x.) As −x increases in magnitude, relative to V = 0 at the origin, the electric potential in the region defined above is

• A)a decreasing function proportional to −|x2|.
• B)a decreasing function proportional to −|x|.
• C)constant.
• D)an increasing function proportional to +|x|.
• E)an increasing function proportional to +|x2|.

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Definitions:

Unified

Combined into a single entity or made consistent and coherent; often refers to processes, systems, or groups that operate together seamlessly.

Dogmatic

Pertaining to or characteristic of dogma, often implying an authoritative and unyielding adherence to beliefs regardless of evidence.

Act Utilitarians

Philosophers or ethicists who follow the principle of act utilitarianism, focusing on the consequences of individual actions and choosing those that maximize happiness or reduce suffering for the greatest number.

Principle of Utility

A foundational principle in ethics that suggests actions should be judged as morally right or wrong based on their consequences, specifically aiming to maximize happiness and minimize suffering.