It is possible to replace the three resistors joined in series by an equivalent single resistor (R) of resistance, such that the potential difference (V) across it and the current (I) through the circuit remain the same. This equivalent resistance simplifies the analysis of the circuit while preserving its overall electrical behavior.
How can the three resistors joined in series be replaced by a single equivalent resistor without changing the potential difference (V) across it or the current (I) through the circuit?
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To replace three resistors joined in series with a single equivalent resistor without changing the potential difference (V) across it or the current (I) through the circuit, the equivalent resistance (Req) must be the sum of the individual resistances. If R1, R2, and R3 are the resistances of the three resistors, then the equivalent resistance (Req) is calculated as Req = R1 + R2 + R3. The single equivalent resistor is connected in series, maintaining the potential difference (V) and current (I). This is based on the series circuit property that the total resistance is the sum of individual resistances when resistors are connected in series.