Spheres of Charge: a Solid Nonconducting Sphere of Radius R

question 20

Multiple Choice

Spheres of charge: A solid nonconducting sphere of radius R carries a charge Q distributed uniformly throughout its volume. At a certain distance r₁ (r₁ < R) from the center of the sphere, the electric field has magnitude E. If the same charge Q were distributed uniformly throughout a sphere of radius 2R, the magnitude of the electric field at the same distance r₁ from the center would be equal to

• A) E/8.
• B) E/2.
• C) 2E.
• D) 8E.
• E) E.

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Definitions:

Brachial Plexus

A network of nerve fibers, running from the spine, formed by the ventral rami of the lower four cervical nerves and the first thoracic nerve that supplies the arm and hand.

Median Nerve

A major nerve in the human body extending down the arm, through the carpal tunnel in the wrist, to the hand, responsible for sensation and movement.

Parasympathetic Division

A branch of the autonomic nervous system that conserves energy as it slows the heart rate, increases intestinal and gland activity, and relaxes sphincter muscles.

Autonomic Nervous System

The part of the nervous system responsible for control of the bodily functions not consciously directed, such as breathing, the heartbeat, and digestive processes.