Question

two resistors which have resistance 2 ohm 3ohm in such way resultant resistance is minimum then find the resultant resistance​

Answer 1

Given

• We here have two resistors of 2Ω and 3Ω
• They are connected in such a way that the resistance is Minimum

To Find

• Resultant Resistance

Solution

● For the minimum resistance we, they gave to be connected in parallel.

● Parallel connection is given by, 1/Rₙₑₜ = 1/R₁ + 1/R₂ ... + 1/Rₙ

✭ Equivalent Resistance :

→ 1/Rₙₑₜ = 1/R₁ + 1/R₂ ... + 1/Rₙ

• R₁ = 2Ω
• R₂ = 3Ω

→ 1/Rₙₑₜ = 1/2 + 1/3

→ 1/Rₙₑₜ = (1/2 × 3/3) + (1/3 × 2/2)

→ 1/Rₙₑₜ = 3/6 + 2/6

→ 1/Rₙₑₜ = (3+2)/6

→ 1/Rₙₑₜ = 5/6

→ Rₙₑₜ = 6/5

→ Rₙₑₜ = 1.2 Ω

∴ The equivalent Resistance of the connection is 1.2Ω

Answer 2

Given:-

✦Two resistors have resistance 2 ohm and 3 ohm respectively..

To Find:-

✦Find the resultant resistance ?...

Solution:-

To Find resultant resistance: -

✦Using formula of parallel resistance,

↠1 / R_(net) = 1 / R_(1) + 1 / R_(2)

↠1 / R_(net) = 1 / 2 + 1 / 3

✦Take LCM to make the denominator equal..

↠= ( 1 × 3 ) / (2 × 3 ) + ( 1 × 2 ) / ( 3 × 2 )

↠= 3 / 6 + 2 / 6

↠= 5 / 6

↠= 6 / 5

↠R_(net) = 1.2 ohm

✦Hence, the resultant resistance is 1.2 ohm