If i have three resistors in parallel and series, then the first resistor (series) and the second resistor (parallel) should have the same average of the total voltage?
is this true? i think it should
To determine whether the first resistor in series and the second resistor in parallel have the same average of the total voltage, let's consider the rules for combining resistors in series and parallel.
In a series circuit, the total resistance (R_total) is the sum of the individual resistances (R1 + R2 + R3). The current (I) passing through each resistor is the same, and the total voltage (V_total) is divided among the resistors based on their individual resistances.
In a parallel circuit, the reciprocal of the total resistance (1/R_total) is the sum of the reciprocals of the individual resistances (1/R1 + 1/R2 + 1/R3). The total current (I_total) is divided among the resistors based on their inverse resistances, and the voltage across each resistor is the same.
Now, in order to compare the average voltage across the first resistor in series and the second resistor in parallel, we need to consider the distribution of voltage and current in both circuits.
In a series circuit, the voltage across each resistor depends on its resistance, while in a parallel circuit, the voltage across each resistor is the same but the current flowing through each resistor depends on its resistance.
So, if the resistors in the series circuit have the same resistance as the resistors in the parallel circuit, then the average voltage across the first resistor in series should be the same as the average voltage across the second resistor in parallel. This is because the resistance values are the same, and the total voltage is divided among the resistors in series and parallel circuits in a similar manner.
However, if the resistors in the series and parallel circuits have different resistance values, then the average voltage across each resistor will be different.
In conclusion, to determine if the average voltage is the same for the first resistor in series and the second resistor in parallel, it depends on whether the resistors in both circuits have the same resistance values.