__Resistors
connected in parallel__: If the numbers of resistance are connected between
two common points, such that the potential difference across each resistance is
the same, then the arrangement is called resistance in parallel.

Three resistances R_{1,}
R_{2 }and R_{3} are connected in parallel between the points A
and B. Let R_{p} be the effective resistance in the circuit.

A Cell E, Key K and the ammeters A are also connected
with resistances.

Let the current passing through R_{1} be I_{1,
}R_{2 }be I_{2}, and R_{3} be I_{3} and
that of R be I.

**
**

__Conclusion__**: ** If the resistors are connected in parallel
then:

i.
The
sum of reciprocals of the individual resistance is equal to the reciprocal of
equivalent resistance.

ii.
The
current in various resistors are inversely proportional to the resistances
(higher is the resistance lower is the current through it). However the total
current is the sum of the currents flowing in the different branches.

iii.
The
voltage (Potential difference) across each resistors is same.

iv.
The
effective resistance of the parallel combination is less than the individual
resistance in the combination.

v.
This
combination is used to decrease resistance in the circuit.