Paul asked in Science & MathematicsPhysics · 9 years ago

Two capacitors give an equivalent capacitance of 9.50 pF when connected in parallel and an equivalent capacita?

Update:

sorry

Two capacitors give an equivalent capacitance of 9.50 pF when connected in parallel and an equivalent capacitance of 1.90 pF when connected in series. What is the capacitance of each capacitor?

thanks!

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  • 9 years ago
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    and the rest of the question is?

    edit: call them x and y, in pF

    x+y = 9.5

    (1/x) + (1/y) = 1/1.9

    x = 9.5–y

    substitute

    (1/(9.5–y)) + (1/y) = 1/1.9 = 0.5263

    solve for y

    multiply by y(9.5–y)

    y + 9.5–y = y(9.5–y)(0.5263)

    (-y²+9.5y )(0.5263) = 9.5

    -y² + 9.5y = 18.05

    y² – 9.5y + 18.05 = 0

    use quadratic solver

    y = 6.874, 2.626

    x = 2.626, 6.874

    that is the two caps in pF

  • 9 years ago

    And an equivalent capacitance of 2.37pf when connected in series.

  • 9 years ago

    That's what Rachel Ray keeps saying.

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