Calculate a Parallel Connection

Calculation with the parallel operator, e.g. for the resistance of a parallel circuit. A parallel circuit occurs when the current can flow along several paths next to each other; the resistance decreases the more paths are available, i.e. when several conductors run parallel to each other.
You can enter up to ten vales. The unit can be, for example, ohms, but also milliohms or kiloohms, as long as it is the same for all values. The result has the same unit.
The formula for calculating a resistance in a parallel circuit is A = 1 / ( 1 / a₀ + 1 / a₁ + 1 / a₂ + ... )

Parallel circuits are robust against the failure of individual conductors. In the event of such a failure, the resistance increases, but current can still flow, as long as not all fail. A counterpart to a parallel circuit is a series circuit. Here, the resistors are connected in series. The total resistance is then calculated as the sum of the individual resistors. In a series circuit, the total resistance increases the more resistors are connected, while in a parallel circuit it decreases. If a conductor is interrupted in a series circuit, then the entire system is interrupted, so no more current flows.
There is also an anti-parallel circuit for diodes, but such a calculation with resistors is not possible for those. And the anti-parallel circuit is not possible with resistors.

The parallel operator is mathematically reminiscent of the harmonic mean, except that in the harmonic mean the number is divided by the sum of the reciprocals and not by one. Therefore, the parallel operator is the harmonic mean divided by the number.