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What charge is enclosed by a coaxial cylinder of length \[l\] around a wire with linear charge density \[\lambda\]?

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Question

What charge is enclosed by a coaxial cylinder of length \[l\] around a wire with linear charge density \[\lambda\]?

Options

  • \[Q_{\mathrm{enc}} = \lambda l\]

  • \[Q_{\mathrm{enc}} = 2\pi r l\]

  • \[Q_{\mathrm{enc}} = \lambda/l\]

  • \[Q_{\mathrm{enc}} = \lambda r\]

MCQ
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Solution

Linear charge density is charge per unit length. A cylinder enclosing wire length \[l\] therefore encloses charge \[Q_{\mathrm{enc}} = \lambda l\].

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