Question

Two resistance of 4ohm and 6 ohm are connected first in series

combination and then in parallel combination .Calculate total

resistance in both the cases.​

Answer 1

Given :-

• Two resistance of 4 ohm and 6 ohm are connected first in series combination and then in parallel combination .

To Find :-

• Calculate total resistance in both the cases.

Solution :-  

~Here, we’re given that two resistance of 4 ohm and 6 ohm are connected first in series combination and then in parallel combination and we need to calculate total resistance in both the cases.  

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As we know that ,

↬ Equivalent resistance in :

 

✰ Series combination – sum of individual resistances  

⇒ R(eq) = R₁ + R₂

✰ Parallel combination – reciprocal of sum of reciprocal of individual resistances

⇒ 1/R(eq) = 1/R₁ + 1/R₂

Where,

• R₁ and R₂ are given resistance
• R( eq ) is the equivalent resistance

~ Series combination -  

➟ 4 Ω + 6 Ω  

➟ 10 Ω  [ Answer ]

~Parallel combination -

➟ 1/4 Ω + 1/6 Ω

➟ (3+2)/12 Ω  

➟ 5/12 Ω

Reciprocal :

➟ 12/5 Ω  [ Answer ]

Hence ,  

• Total resistance for series combination is 10Ω

• Total resistance for parallel combination is 12/5 Ω  

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