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two resistors of resistance 6 ohm and 3 ohm are connected in series and then in parallel .calculate the equivalent series resistance and equivalent parallel resistance.​

2 Answers

9 votes

Explaination :

As we know that, if n resistances R1 , R2 and R3 .... Rn are joined in parallel the equivalent resistance is given as :

  • 1/Rp = 1/R1 + 1/R2 + 1/R3 ... 1/Rn

Here,

  • R is resistance

We have :

  • R1 = 6Ω
  • R2 = 3Ω

Substituing the values :

  • Refer the attachment.
two resistors of resistance 6 ohm and 3 ohm are connected in series and then in parallel-example-1
User Andrey Sobolev
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7 votes

Step-by-step explanation:

Given that,

Two resistors of resistance 6 ohm and 3 ohm are connected in series and then in parallel.

For series combination,


R_(eq)=R_1+R_2

For parallel combination,


(1)/(R_(eq))=(1)/(R_1)+(1)/(R_2)

When 6 ohm and 3 ohm are in series,


R_s=6+3\\\\R_s=9\ \Omega

When 6 ohm and 3 ohm are in paralle,


(1)/(R_p)=(1)/(6)+(1)/(3)\\\\R_p=2\ \Omega

So, the equivalent resistance in series combination is 9 ohms and in parallel combination it is 2 ohms.

User Atlasologist
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3.6k points