parallel
(noun)
An arrangement of electrical components such that a current flows along two or more paths.
Examples of parallel in the following topics:
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Combinations of Capacitors: Series and Parallel
- Like any other form of electrical circuitry device, capacitors can be used in series and/or in parallel within circuits.
- It is possible for a circuit to contain capacitors that are both in series and in parallel.
- However, these are both in parallel with C3.
- This image depicts capacitors C1, C2, and so on until Cn in parallel.
- Calculate the total capacitance for the capacitors connected in series and in parallel
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Resistors in Parallel
- Resistors in a circuit can be connected in series or in parallel.
- Therefore, for every circuit with $n$ number or resistors connected in parallel,
- $R_{n \;(parallel)} = \frac{1}{R_1} + \frac{1}{R_2} + \frac{1}{R_3} ... + \frac{1}{R_n}.$
- Three resistors connected in parallel to a battery and the equivalent single or parallel resistance.
- Calculate the total resistance in the circuit with resistors connected in parallel
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Combination Circuits
- A combination circuit can be broken up into similar parts that are either series or parallel.
- In that case, wire resistance is in series with other resistances that are in parallel.
- In the initial image, the two circled sections show resistors that are in parallel.
- The next step shows that the circled two resistors are in parallel.
- This combination of seven resistors has both series and parallel parts.
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Parallel-Plate Capacitor
- A parallel-plate capacitor is an electrical component used to store energy in an electric field between two charged, flat surfaces.
- For the purpose of this atom, we will focus on parallel-plate capacitors .
- For a parallel-plate capacitor, capacitance (C) is related to dielectric permittivity (ε), surface area (A), and separation between the plates (d):
- A brief overview of parallel plates and equipotential lines from the viewpoint of electrostatics.
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Parallel-Plate Capacitor
- The parallel-plate capacitor is one that includes two conductor plates, each connected to wires, separated from one another by a thin space.
- One of the most commonly used capacitors in industry and in the academic setting is the parallel-plate capacitor .
- The purpose of a capacitor is to store charge, and in a parallel-plate capacitor one plate will take on an excess of positive charge while the other becomes more negative.
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Charging a Battery: EMFs in Series and Parallel
- When voltage sources are connected in series, their emfs and internal resistances are additive; in parallel, they stay the same.
- When more than one voltage source is used, they can be connected either in series or in parallel, similar to resistors in a circuit.
- But the total internal resistance is reduced, since the internal resistances are in parallel.
- Thus, the parallel connection can produce a larger current .
- Parallel combinations are often used to deliver more current.
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Constant Velocity Produces a Straight-Line
- If a charged particle's velocity is parallel to the magnetic field, there is no net force and the particle moves in a straight line.
- If the magnetic field and the velocity are parallel (or antiparallel), then sinθ equals zero and there is no force.
- If is between 0 and 90 degrees, then the component of v parallel to B remains unchanged.
- In the case above the magnetic force is zero because the velocity is parallel to the magnetic field lines.
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Magnetic Force Between Two Parallel Conductors
- Parallel wires carrying current produce significant magnetic fields, which in turn produce significant forces on currents.
- Parallel wires carrying current produce significant magnetic fields, which in turn produce significant forces on currents.
- For parallel wires placed one meter away from one another, each carrying one ampere, the force per meter is:
- This means that one ampere of current through two infinitely long parallel conductors (separated by one meter in empty space and free of any other magnetic fields) causes a force of 2×10-7 N/m on each conductor.
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Capacitance
- The most common capacitor is known as a parallel-plate capacitor which involves two separate conductor plates separated from one another by a dielectric .
- For a parallel-plate capacitor, this equation can be used to calculate capacitance:
- In a parallel-plate capacitor, this can be simplified to:
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Resistance and Resistivity
- The parallel equivalent resistance can be represented in equations by two vertical lines "||" (as in geometry) as a simplified notation.
- For the case of two resistors in parallel, this can be calculated using:
- As a special case, the resistance of N resistors connected in parallel, each of the same resistance R, is given by R/N.
- A resistor network that is a combination of parallel and series connections can be broken up into smaller parts that are either one or the other, such as is shown in .
- In this combination circuit, the circuit can be broken up into a series component and a parallel component.