$\text { Let } \mathbf { E } = x \mathbf { i } + y \mathbf { j } + 2 z \mathbf { k }$

question 5

Multiple Choice

$\text { Let } \mathbf { E } = x \mathbf { i } + y \mathbf { j } + 2 z \mathbf { k }$ be an electrostatic field. Use Gauss's Law to find the total charge enclosed by the closed surface consisting of the hemisphere $z = \sqrt { 1 - x ^ { 2 } - y ^ { 2 } }$ and its circular base in the $x y$ -plane.

• A) \(10 \pi\)
• B) \(\frac { 8 } { \pi }\)
• C) \(\frac { 8 \pi } { 3 }\)
• D) \(12 \pi\)
• E) \(\frac { 10 \pi } { 7 }\)

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Suffering from a lack of sleep, which can impair cognitive function, mood, and overall health.

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A sleep disorder characterized by pauses in breathing or periods of shallow breathing during sleep, often leading to disrupted sleep and other health issues.

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Another term for sleepwalking, a disorder causing people to walk or perform other complex behaviors while asleep.