A wire of length meters has linear charge density coulombs per meter at position

MATHEMATICS · Subjective · AP · Calculus AB · Applications of Integration · Applications of Integration

Problem

A wire of length

L

meters has linear charge density

\lambda(x)

coulombs per meter at position

x

. Explain what the definite integral

\displaystyle \int_{0}^{L} \lambda(x)\,dx

represents in this context.