Question

total conductance of the circuit in which 10, 2, and 1 ohm are connected in parallel with each other?​

Answer 1

Step-by-step explanation:

If three resistance of value 10, 2 & 1 ohm are connected in parallel, then what is the total conductance of the circuit?

Resistors in parallel are calculated by first inverting them to get their conductance, then summing their respective conductance’s. To find the equivalent resistance the result is then inverted.

Units for resistance are ‘ohm’ ( symbol Ω ).

Units for conductance are ‘mho’ ( symbol ℧ ) or Siemen ( symbol S ).

( 1/10Ω + 1/2Ω + 1/1Ω ) ℧

= (1 + 5 + 10 )/10 ℧

= 16/10 ℧

=1.6 ℧

If the equivalent resistance was required…

R = 1/℧ = 1/1.6℧ = 0.625 Ω