Question

What charge is enclosed by a pillbox with face area \[A\] that straddles an infinite plane sheet of surface charge density \[\sigma\]?

Options

• \[Q_{\mathrm{enc}} = \sigma/A\]

• \[Q_{\mathrm{enc}} = 2\sigma A\]

• \[Q_{\mathrm{enc}} = \sigma l\]

• \[Q_{\mathrm{enc}} = \sigma A\]

Answer 1

Surface charge density is charge per unit area. The sheet area enclosed by the pillbox is \[A\), so the enclosed charge is \[Q_{\mathrm{enc}} = \sigma A\].