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How to deal with a capacitor in parallel with a resistor?

Its a circuit comprised of a 100V battery with a 10^-5F capacitor and 150ohm resistor in series (easy enough to analyze). What happens to the capacitance and/or total resistance if a 100ohm resistor is added in parallel to the capacitor?

Please explain any work, the answer alone will not help me here

Update:

More specifically, what is the final charge on the capacitor? i have come to understand that it will obtain the same 100V potential but is there any mathematical explanation for this?

3 Answers

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  • 1 decade ago
    Favorite Answer

    Yes, in electronics, a capacitor can be seen as a resistor with a resistance that depends on the frequency of the voltage applied to it. As the frequency goes to infinity (as happens when applying a battery) the resistance of a capacitor goes to infinity as well.

    So, if the resistor is in series to your capacitor, the total resistance will be R = infinity + 100 ohm = infinity. Causing the voltage over the resistor to be 100 V * (100 ohm / R) = 100V * 0 = 0, leaving 100 V for the capacitor.

    If the resistor is in parallel to your capacitor, we can calculate the total resistance again, but we don't have to (1/R = 1/infinity + 1/100 ohm = 0 + 1/100 ohm, so R=100 ohm)

    Since the two are in parallel, the voltage is the same on both devices (just think of your home equipment: if you plug in multiple devices in your 110V/230V socket, the voltage on all of them is still the same).

  • kimiko
    Lv 4
    5 years ago

    Resistor And Capacitor In Parallel

  • 6 years ago

    This Site Might Help You.

    RE:

    How to deal with a capacitor in parallel with a resistor?

    Its a circuit comprised of a 100V battery with a 10^-5F capacitor and 150ohm resistor in series (easy enough to analyze). What happens to the capacitance and/or total resistance if a 100ohm resistor is added in parallel to the capacitor?

    Please explain any work, the answer alone will not help me...

    Source(s): deal capacitor parallel resistor: https://bitly.im/9fvZ5
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