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Figure 3: A current amplifier (gray box) driven by a Norton source (i S, R S) and with a resistor load R L. Current divider in blue box at input (R S, R in) reduces the current gain, as does the current divider in green box at the output (R out,R L) The gain of an amplifier generally depends on its source and load terminations.
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Kirchhoff's current law is the basis of nodal analysis. In electric circuits analysis, nodal analysis, node-voltage analysis, or the branch current method is a method of determining the voltage (potential difference) between "nodes" (points where elements or branches connect) in an electrical circuit in terms of the branch currents.
In direct-current circuit theory, Norton's theorem, also called the Mayer–Norton theorem, is a simplification that can be applied to networks made of linear time-invariant resistances, voltage sources, and current sources. At a pair of terminals of the network, it can be replaced by a current source and a single resistor in parallel.
The current entering any junction is equal to the current leaving that junction. i 2 + i 3 = i 1 + i 4. This law, also called Kirchhoff's first law, or Kirchhoff's junction rule, states that, for any node (junction) in an electrical circuit, the sum of currents flowing into that node is equal to the sum of currents flowing out of that node; or equivalently:
Illustration of the "reference directions" of the current (), voltage (), and power () variables used in the passive sign convention.If positive current is defined as flowing into the device terminal which is defined to be positive voltage, then positive power (big arrow) given by the equation = represents electric power flowing into the device, and negative power represents power flowing out.
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Since the ladder is a series circuit, the current is the same throughout, and is given by the total voltage divided by the total series resistance (V/R eq). The voltage drop across any one resistor is I×R n, where I is the current calculated above, and R n is the resistance of the resistor in question.