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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 ...
In the example, the total current I total is given by: = + (+) =. The current through the load is then, using the current divider rule: = + + + = / =. And the equivalent resistance looking back into the circuit is:
At each stage, resistors for the "rung" and "leg" are chosen so that the rung value matches the leg value plus the equivalent resistance of the previous rungs. The rung and leg resistors can be formed by pairing other resistors in series or parallel in order to increase the number of available combinations. This process can be automated.
Source transformations are easy to compute using Ohm's law.If there is a voltage source in series with an impedance, it is possible to find the value of the equivalent current source in parallel with the impedance by dividing the value of the voltage source by the value of the impedance.
One-element networks are trivial and two-element, [note 3] two-terminal networks are either two elements in series or two elements in parallel, also trivial. The smallest number of elements that is non-trivial is three, and there are two 2-element-kind non-trivial transformations possible, one being both the reverse transformation and the topological dual, of the other.
A voltage divider referenced to ground is created by connecting two electrical impedances in series, as shown in Figure 1. The input voltage is applied across the series impedances Z 1 and Z 2 and the output is the voltage across Z 2. Z 1 and Z 2 may be composed of any combination of elements such as resistors, inductors and capacitors.
Component: A device with two or more terminals into which, or out of which, current may flow.: Node: A point at which terminals of more than two components are joined. A conductor with a substantially zero resistance is considered to be a node for the purpose of analysis.
Parallel RC circuit. 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. With complex impedances: