Question

6. A vector field \textbf{E} (not necessarily an electric field; note units) is given by \textbf{E} = 3x\textsuperscript{2}\textbf{k}. Calculate \(\int\limits_S \textbf{E} \cdot \hat{\textbf{n}} \, da\), where S is the area shown below. Assume that \(\hat{\textbf{n}} = \textbf{k}\). Apply Gauss's law to find the amount of charge enclosed for a=5cm. 7. Repeat the preceding problem, with \textbf{E} = 2x\textbf{i} + 3x\textsuperscript{2}\textbf{k}.

          6. A vector field \textbf{E} (not necessarily an electric field; note units) is given by \textbf{E} = 3x\textsuperscript{2}\textbf{k}. Calculate \(\int\limits_S \textbf{E} \cdot \hat{\textbf{n}} \, da\), where S is the area shown below. Assume that \(\hat{\textbf{n}} = \textbf{k}\). Apply Gauss's law to find the amount of charge enclosed for a=5cm.

7. Repeat the preceding problem, with \textbf{E} = 2x\textbf{i} + 3x\textsuperscript{2}\textbf{k}.

6. A vector field E (not necessarily an electric field; note units) is given by E = 3x2k. Calculate ∫E·n̂ da, where S is the area shown below. Assume that n̂ = k. Apply Gauss's law to find the amount of charge enclosed for a=5cm.

7. Repeat the preceding problem, with E = 2xi + 3x2k.

Added by Jane E.

University Physics with Modern Physics

Hugh D. Young 14th Edition

Instant Answer

Solved by Expert Sri K

03/14/2023

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We need to calculate the flux of this vector field through the given area S. Show more…

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Please solve 6&7 I do not understand what to do. 6. A vector field E (not necessarily an electric field; note units) is given by E = 3x-k. Calculate [ E.n da, where S is the area shown below. Assume that n = k. Apply Gauss's law to find the amount of charge enclosed for a=5cm. 7. Repeat the preceding problem, with E = 2xi + 3x2k