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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 a combination of series and parallel circuits, along with other configurations .
The following table gives formula for the spring that is equivalent to a system of two springs, in series or in parallel, whose spring constants are and . [1] The compliance c {\displaystyle c} of a spring is the reciprocal 1 / k {\displaystyle 1/k} of its spring constant.)
The properties of the parallel RLC circuit can be obtained from the duality relationship of electrical circuits and considering that the parallel RLC is the dual impedance of a series RLC. Considering this, it becomes clear that the differential equations describing this circuit are identical to the general form of those describing a series RLC.
Parallel RL circuit. When both the resistor and the inductor are connected in parallel connection and supplied through a voltage source, this is known as a RL parallel circuit. [2] The parallel RL circuit is generally of less interest than the series circuit unless fed by a current source.
A network with two components or branches has only two possible topologies: series and parallel. Figure 1.2. Series and parallel topologies with two branches. Even for these simplest of topologies, the circuit can be presented in varying ways. Figure 1.3. All these topologies are identical. Series topology is a general name.
The parallel RC circuit is generally of less interest than the series circuit. This is largely because the output voltage V out is equal to the input voltage V in — as a result, this circuit does not act as a filter on the input signal unless fed by a current source .
A parallel resonant circuit provides current magnification. A parallel resonant circuit can be used as load impedance in output circuits of RF amplifiers. Due to high impedance, the gain of amplifier is maximum at resonant frequency. Both parallel and series resonant circuits are used in induction heating.
The diode equation above is an example of an element constitutive equation of the general form, (,) = This can be thought of as a non-linear resistor. The corresponding constitutive equations for non-linear inductors and capacitors are respectively; (,) = (,) =