Equivalent Resistance Formula with Equivalent Resistance Sums

Equivalent Resistance Formula :

Equivalent resistance formula series resistance R(1=V/A) in volt per ampere is equal to product of R1 + R2+ …………………Rn (Ω) in ohm. Hence the equivalent resistance series formula has been written as,

R(1=V/A)= R1 + R2+ …………………Rn (Ω)

Equivalent resistance formula parallel resistance is given by,

Equivalent resistance formula parallel resistance 1/Rp(1=V/A) in volt per    ampere is equal to product of 1/R1 + 1/R2+ …………………1/Rn (Ω) in ohm. Hence the equivalent resistance parallel formula has been written as,

1/RP(1=V/A) = 1/R1 + 1/R2 + 1/R3 + ………..+ 1/Rn (Ω)

Where,

R1,R2……..Rn the given resistors.

Sample Sums :

Sum 1 :

Calculate the equivalent resistance if 2 Ω,and 23 Ω and 30 Ω are connected in series?

Solution :

Equivalent resistance series in is given by,

R= R1 + R2+ …………………Rn (Ω)

=  2 Ω + 23 Ω + 30 Ω

= 55 Ω

Sum 2 :

Calculate the equivalent resistance if 30 Ω and 25 Ω are connected in parallel?

Solution  :

Equivalent resistance in parallel is given by,

1/RP = 1/R1 + 1/R2 + 1/R3 + ………..+ 1/Rn (Ω)

1/RP =1/30+ 1/25

1/R= 0.0733

(or)

Rp=R1 R2 / R1+ R2

R=13.63 Ω

Leave a Comment