I am not sure how the double slashes in R1//R2//R3 are interpreted mathematically. Can you imagine what the potential difference across the 9 Ω resistor might be?Islam Sabry said:
True, but not useful since the current is not flowing through these two in turn.Islam Sabry said:
Denote the nodes where the 9 Ω resistor is connected as X and Y.Islam Sabry said:
The concept of equivalent resistance is the resistance value that represents the total resistance of a circuit with multiple resistors. It is a simplified value that can be used to analyze the behavior of the circuit.
The equivalent resistance is calculated by adding the individual resistances in series or using a parallel resistance formula for resistors in parallel. For resistors in series, the equivalent resistance is the sum of all the resistances. For resistors in parallel, the equivalent resistance is calculated using the formula 1/R = 1/R1 + 1/R2 + ... + 1/Rn.
The equivalent resistance allows us to analyze the behavior of a circuit with multiple resistors as a single resistance value. This simplifies the circuit analysis and helps in understanding the overall circuit behavior.
The main factors that affect equivalent resistance are the number of resistors in the circuit, their individual resistance values, and their connection (series or parallel). The equivalent resistance will be lower for resistors in parallel and higher for resistors in series.
The equivalent resistance affects the current and voltage in a circuit by determining the overall resistance of the circuit. A lower equivalent resistance will result in higher current and lower voltage, while a higher equivalent resistance will result in lower current and higher voltage. This is based on Ohm's law, which states that current is directly proportional to voltage and inversely proportional to resistance.
