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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
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
- 1 decade agoFavorite 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).
- 6 years ago
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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