Recent content by [sauce]

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    Graduate Which subspaces retain nondegeneracy of a bilinear form?

    Suppose I have a nondegenerate alternating bilinear form <,> on a vector space V. Under what conditions would a subspace U of V retain nondegeneracy? That is, if u ∈ U and u ≠ 0, then could I find a w ∈ U such that <u,w> ≠ 0? So for example, it's clear that no one-dimensional subspace W of V...
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    Capacitor Charge and Voltage Distribution in Series with Net Charge at Junction

    Right. Can you at least explain then the solution I posted?
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    Capacitor Charge and Voltage Distribution in Series with Net Charge at Junction

    Thank you for your input. I do need help today however. Can anyone else help explain to me the solution though?
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    Capacitor Charge and Voltage Distribution in Series with Net Charge at Junction

    My teacher insisted it was in parallel. Can you explain to me the unclear parts of the solution?
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    Capacitor Charge and Voltage Distribution in Series with Net Charge at Junction

    I've discussed this problem with my teacher briefly, she says it's in parallel. How do you know?
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    Capacitor Charge and Voltage Distribution in Series with Net Charge at Junction

    Is it the voltage? I can't tell if this combination is in series or in parallel.
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    Capacitor Charge and Voltage Distribution in Series with Net Charge at Junction

    A 25 uF and a 40 uF capacitor are charged by being connected across separate 50 V batteries. The capacitors are then disconnected from their batteries and connected to each other, with each negative plate connected to the other positive plate. What is the final charge on each capacitor, and what...