Understanding Voltage in Parallel RC Circuits

In summary, when two resistors or two capacitors are in parallel, they will have the same voltage. This also applies to a resistor and capacitor in parallel, as the potential on a wire is the same all the way along it. However, in cases where the wires have resistance or are carrying high frequency AC, a proper circuit diagram should include additional resistances and impedances to accurately reflect the potential difference between the wires.
  • #1
member 392791
Hello,

I know that if two resistors are in parallel or two capacitors, they have the same voltage.

However, is it the case that a resistor and capacitor in parallel also have equal voltage?
 
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  • #2
Yes...
 
  • #3
Look up the basics of electrical circuits - Kirchoff's laws etc.. It's all very consistent stuff and the rules apply over a huge range of situations.
 
  • #4
Think about using a voltmeter to measure the voltage across the resistor or capacitor. You put the probes across the capacitor's wires - but these are connected to the resistor's wires - so you might just as well say that you're connecting the voltmeter across the resistor. There is only one voltage involved, whether you measure it 'across the resistor' or 'across the capacitor'.
 
  • #5
Always apply this rule to circuit diagrams: The potential on a wire is the same all the way along it.

So the potential difference between two wires, connecting any number of components, will be the same everywhere. This, of course, may not apply if the wires have resistance or they have a significant length and (high frequency) AC is involved. In this case, a proper circuit diagram should really have included explicit extra resistances and Impedances.
 

FAQ: Understanding Voltage in Parallel RC Circuits

What is an RC circuit and how does it work?

An RC circuit is a combination of a resistor (R) and a capacitor (C) connected in parallel. The resistor limits the flow of current while the capacitor stores and releases electrical energy. When connected in parallel, the voltage across both components is the same, but the current may differ.

What is the significance of voltage in parallel RC circuits?

Voltage is the measure of the electrical potential difference between two points in a circuit. In parallel RC circuits, the voltage across each component remains constant, while the total voltage is the sum of the individual component voltages.

How do you calculate the total voltage in a parallel RC circuit?

The total voltage in a parallel RC circuit can be calculated by using the following formula: Vt = (Vr^-2 + Vc^-2)^-1/2, where Vt is the total voltage, Vr is the voltage across the resistor, and Vc is the voltage across the capacitor.

What is the relationship between voltage and current in parallel RC circuits?

In parallel RC circuits, the voltage and current have an inverse relationship. This means that as the voltage increases, the current decreases, and vice versa. This relationship is described by Ohm's law, which states that V = IR, where V is voltage, I is current, and R is resistance.

How does the time constant affect the voltage in parallel RC circuits?

The time constant, also known as the RC time constant, is the time it takes for the capacitor to charge or discharge to approximately 63% of its maximum voltage. In parallel RC circuits, the time constant determines how quickly the capacitor will charge or discharge, and therefore affects the voltage across the capacitor. A larger time constant results in a slower change in voltage, while a smaller time constant results in a faster change in voltage.

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