Question

27. two resistance of value 10
ohm are taken in parallel
combination what is resistance
of combination​

Answer 1

Answer:

1/r=1/10+1/10=2/10

=1/5

hence r=5ohm

Answer 2

Given:

$\sf{Resistance=10\Omega}$

$\sf{No. \:of \:Resistances=2}$

$\sf{Combination=Parallel}$

Solution:

$\sf{For \:Parellel \:Combination:}$

$\sf{{\dfrac{1}{R_e_q}}={\dfrac{1}{R_1}}+{\dfrac{1}{R_2}}+{\dfrac{1}{R_3}}}$

$\sf{{\dfrac{1}{R_e_q}}={\dfrac{1}{10}}+{\dfrac{1}{10}}}$

$\sf{{\dfrac{1}{R_e_q}}={\dfrac{1}{5}}}$

$\sf{{R_e_q}={5\Omega}}$

Thus, total resistance of combination=5$\Omega$

More to know:

Resistors are said to be connected together in parallel when both of their terminals are respectively connected to each terminal of the other resistor or resistors

A circuit is said to be connected in parallel when the voltage is the same across the resistors. In such circuits, the current is branched out and recombines when branches meet at a common point. A resistor or any other component can be connected or disconnected easily without affecting other elements in a parallel circuit.

Summary of Parallel Circuits

1. No voltage is dropped when the circuit splits into its branches; therefore, equal amounts of voltage are applied to each branch of the circuit.
2. The total current in the circuit is equal to the sum of currents in its parallel branches.
3. The reciprocal of the equivalent resistance is equal to the sum of the reciprocals of the individual resistances.
4. The total resistance of a parallel circuit is always less than the resistance of the leg with the smallest amount of resistance.
5. If one of the parallel paths is broken, current will continue to flow in all the other paths.