What is Parallel circuit: Definition and 109 Discussions

Two-terminal components and electrical networks can be connected in series or parallel. The resulting electrical network will have two terminals, and itself can participate in a series or parallel topology. Whether a two-terminal "object" is an electrical component (e.g. a resistor) or an electrical network (e.g. resistors in series) is a matter of perspective. This article will use "component" to refer to a two-terminal "object" that participate in the series/parallel networks.
Components connected in series are connected along a single "electrical path", and each component has the same current through it, equal to the current through the network. The voltage across the network is equal to the sum of the voltages across each component. Components connected in parallel are connected along multiple paths, and each component has the same voltage across it, equal to the voltage across the network. The current through the network is equal to the sum of the currents through each component.
The two preceding statements are equivalent, except for exchanging the role of voltage and current.
A circuit composed solely of components connected in series is known as a series circuit; likewise, one connected completely in parallel is known as a parallel circuit. Many circuits can be analyzed as combination of series and parallel circuits, along with other configurations.
In a series circuit, the current that flows through each of the components is the same, and the voltage across the circuit is the sum of the individual voltage drops across each component. In a parallel circuit, the voltage across each of the components is the same, and the total current is the sum of the currents flowing through each component.Consider a very simple circuit consisting of four light bulbs and a 12-volt automotive battery. If a wire joins the battery to one bulb, to the next bulb, to the next bulb, to the next bulb, then back to the battery in one continuous loop, the bulbs are said to be in series. If each bulb is wired to the battery in a separate loop, the bulbs are said to be in parallel. If the four light bulbs are connected in series, the same current flows through all of them and the voltage drop is 3-volts across each bulb, which may not be sufficient to make them glow. If the light bulbs are connected in parallel, the currents through the light bulbs combine to form the current in the battery, while the voltage drop is 12-volts across each bulb and they all glow.
In a series circuit, every device must function for the circuit to be complete. If one bulb burns out in a series circuit, the entire circuit is broken. In parallel circuits, each light bulb has its own circuit, so all but one light could be burned out, and the last one will still function.

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  1. S

    Finding resistance using a series and parallel circuit?

    Homework Statement :Two resistors have resistances R1 and R2. When the resistors are connected in series to a 12.0V battery, the current from the battery is 2.00A. When the resistors are connected in parallel to the battery the total current from the battery is 9.00A. Determine R1 and R2...
  2. J

    Electricity: series and parallel circuit

    I have a question about series and parallel circuits We made a simple series circuit using three light bulbs when we measured the current with the ammeter at each end of the light bulb, they were 30mA at the source, then it began to change to 40,40,60,60,1.6, and 2.3 Do you think this result...
  3. P

    Solving a Differential Equation for Parallel Circuit with Capacitor, Resistor, and Inductor

    I have a circuit with a capacitor, resistor, and inductor all in parallel with each other. I have to write the differential equation governing the voltage. However, when I attempt to do that [using Kirchoff's Voltage Rule] I will end up with: Vc + Vl = 0 and Vl + Vr = 0 However, this implies...
  4. M

    Simple parallel Circuit Question

    I know this might sound simple to you but I was just wondering is the bumper car grid a series or parallel circuit? I need the answer for a project that I'm working on so that's why :smile:
  5. C

    Light Bulbs in a parallel circuit

    Q: Two bulbs x and y are connected in parallel to a new dry cell. The switch is closed. If bulb x is unscrewed, the brightness of bulb y will a) double b) halve c) remain the same d) become 0 A: a? The current from the first branch would go into the second branch?
  6. P

    Difference between a short circuit and a parallel circuit?

    What's the difference between a short circuit and a parallel circuit? In a short circuit, my teacher told me that no current will passs through the more resistive path. I doubt it. If this is wrong, then I could distinguish the difference and similarities between them. If not, I really need...
  7. D

    Formula for resistance in parallel circuit

    My science teacher gave me this formula for resistance in parallel circuit. \frac{1}{R_{eq}}=\frac{1}{R_1}+\frac{1}{R_2}+\frac{1}{R_3}+... Thats exactly how he wrote it. I would like this using the summation sigma \frac{1}{R_{eq}}=\sum_{R=\frac{1}{R_n}}^n Is that right? I am sure it's...
  8. B

    Calculating Power Factor of RL-Capacitor Parallel Circuit

    A capacitor is connected in parallel with a RL branch and a source providing a frequency omega=(LC)^(-1/2). What is the power factor, knowing that R=1000 Ohm, omega 2000 rad/s and L=1H? Its not difficult to find C=0,25 microC and XL=2000 Ohm XC=2000 Ohm but what to do next? How can I...
  9. M

    Series and Parallel Circuit Problem

    I have a problem that I'm working on, not sure what equation to use for this: The current in a 54 ohm resistor is 0.13 A. This resistor is in series with a 23 ohm resistor, and the series combination is connected across a battery. What is the battery voltage?
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