A Van De Graaff Generator Has a Spherical Dome of Radius

question 17

Multiple Choice

A Van de Graaff generator has a spherical dome of radius 27 cm.Operating in dry air,where "atmospheric breakdown" is at E_max = 3.0 × 10⁶ N/C,what is the maximum charge that can be held on the dome? (k_e = 8.99 × 10⁹ N⋅m²/C²)
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• A) 4.9 × 10−⁵ C
• B) 2.4 × 10−⁵ C
• C) 1.2 × 10−⁶ C
• D) 24.3 × 10−⁶ C
• E) ​0.9 × 10−⁶ C

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Definitions:

Arithmetic Operations

Core math functions that consist of addition, subtraction, multiplication, and division.

Exponential Notation

A mathematical way to write numbers using bases and exponents, often used to express very large or small numbers succinctly.

Arithmetic Operations

The basic operations in mathematics, which are addition, subtraction, multiplication, and division.

Compound Interest

A method of calculating interest where the interest is added to the principal so that, from that moment on, the interest that has been added also earns interest.