Which resistance is in series and in parallel
Parallel connection of resistors
A parallel connection of resistors is given when the current is divided across the resistors and the same voltage is applied to all resistors.
At point A the current splits up and at point B it flows back together. The total voltage is applied between point A and point B. In order to clarify the processes of current, voltage and resistance in the parallel connection, the voltage of 60V and the resistances 1.5 kOhm, 3 kOhm and 6 kOhm are specified.
|tension||Utotal = 60V||U1 = 60V||U2 = 60V||U3 = 60V|
|electricity||I.total = 70 mA||I.1 = 40 mA||I.2 = 20 mA||I.3 = 10 mA|
|resistance||-||R.1 = 1.5 kOhm||R.2 = 3 kOhm||R.3 = 6 kOhm|
Behavior of tensions
In the parallel connection, the same voltage is applied to all resistors.
Behavior of the current
The total current Itotal splits into several partial currents at the branching point of the resistors. The sum of the partial currents is equal to the sum of the total current I.total.
The total resistance of the parallel connection is smaller than the smallest individual resistance. The total current increases through every parallel resistance. If the voltage remains the same, this means a reduction in the total resistance.
Or defined differently: the circuit conducts better with each additional parallel resistance. The conductance increases.
If only two resistors are connected in parallel, the formula for calculating the total resistance can also be simplified.
Note: The total resistance is smaller than the smallest individual resistance. With two identical partial resistances, the total resistance corresponds to half of a partial resistance.
Relationships using the example of two resistors connected in parallel
Since the voltage in the parallel connection is the same everywhere, the different resistances cause different partial currents. The currents behave inversely to their resistances. A small current flows in high-ohmic resistors. A higher current flows in low-resistance resistors.
The currents behave inversely to their resistance values!
Application of parallel connection
- Lamps and household appliances on the same network
- Voltmeters and oscilloscopes
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