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source transformations - Iowa State University

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EE 201source transformations 1Consider the two circuits below. In particular, look at the current and voltage of RL in each circuit. Using any of the techniques we seen so far, it is easy to find iRL and vRL for each transformationsInteresting: From the point of view of the resistor RL, the series combination of the voltage source and resistor RS gives the exact same result as the parallel combination of current source and resistor RP. + RSRL +vRLVSiRL5 V2 k!1 k!RPRL + mA1 k!2 k!vRL=RLRL+RSVS=1k 1k +2k (5V)= = mA, P = mWiRL=1RL1RL+1RPIS=11k 11k +12k ( )= = V, P = mWEE 201source transformations 2The series combination seems to behave identically to the parallel combination. This suggests that we may, in the right circumstances, replace one configuration for the other. Making this switch is known as a source transformation. VSRSISRPIS = VS/RSRP = RSISRPVSRSVS = ISRPRS = RPEE 201source transformations 3These are perfectly viable substitutions.

EE 201 source transformations – 3 These are perfectly viable substitutions. From the point of view of whatever circuitry is attached to the two terminals, the result will be exactly the same for the two source configurations. This is an example of bigger, more important idea known as the Thevenin equivalent of circuit.

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