A 47 Cm Radius Spherical Conducting Shell Has a Uniform Surface

question 38

Multiple Choice

A 4.7 cm radius spherical conducting shell has a uniform surface charge density. What is the surface charge density if the electric field 1.5 m from its center is 17 N/C outward?

• A) 1.5 × 10^-7 C/m²
• B) 7.6 × 10^-6 C/m²
• C) 1.1 × 10^-7 C/m²
• D) 1.5 × 10^-9 C/m²
• E) 6.1 × 10^-7 C/m²

---

Definitions:

Dome

A hemispherical vault; theoretically, an arch rotated on its vertical axis. In Mycenaean architecture, domes are beehive-shaped.

Barrel Vault

An architectural element forming a continuous arch and resembling a barrel or tunnel shape, which has been used since ancient times for constructing ceilings and passageways.

Sainte-Chapelle

A Gothic chapel in Paris, renowned for its stunning stained glass windows and considered a high point of the Rayonnant period of Gothic architecture.

Rayonnant

The “radiant” style of Gothic architecture, dominant in the second half of the 13th century and associated with the French royal court of Louis IX at Paris.