Math, asked by rakhi74, 7 months ago

find resistance???Plzzzz help me out..... ​

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Answers

Answered by BrainlyEmpire
16

Observe attachment for entire scenario , ( After have been modified )

10 Ω , 2.5 Ω are connected in parallel ,

Let it be R₁ ,

:\implies \sf \dfrac{1}{R_1}=\dfrac{1}{10}+\dfrac{1}{2.5}

:\implies \sf \dfrac{1}{R_1}=\dfrac{5}{10}

:\implies \sf R_1=2\ \Omega\ \; \orange{\bigstar}

Now ,

R₁ , 10 Ω are connected in series ,

Let it be R₂ ,

:\implies \sf R_2 = R_1 +10\ \Omega

:\implies \sf R_2=2 +10

:\implies \sf R_{2}=12\ \Omega\ \; \green{\bigstar}

Now ,

R₂ , 12 Ω are connected in parallel ,

Let it be R₃ ,

:\implies \sf \dfrac{1}{R_3}=\dfrac{1}{R_2}+\dfrac{1}{12}

:\implies \sf \dfrac{1}{R_3}=\dfrac{1}{12}+\dfrac{1}{12}

:\implies \sf R_3 = 6\ \Omega\ \; \red{\bigstar}

Now ,

R₃ , 10 Ω are connected in series ,

Let it be R₄ ,

:\implies \sf R_4 =R_3 + 10

:\implies \sf R_4 =6+10

:\implies \sf R_4=16\ \Omega\ \; \blue{\bigstar}

R₄ , 16 Ω are connected in parallel ,

Let it be R₅ ,

:\implies \sf \dfrac{1}{R_{5}}=\dfrac{1}{R_4} + \dfrac{1}{16}

:\implies \sf \dfrac{1}{R_5}=\dfrac{1}{16}+\dfrac{1}{16}

:\implies \sf R_5=8\ \Omega\ \; \purple{\bigstar}

So , Equivalent resistance b/w A and B in the given circuit is 8 Ω .

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Answered by Anonymous
20

Answer:

Between A and B

let the resistance 10 Ω ,2.5 they are in parallel

RP = 2 Ω

RP is in series with above 10 Ω

RP = 10+2

= 12 Ω

Then 12 Ω are in resistance = 6 Ω

Then 6 Ω and above 10 Ω are in series 16 Ω

Therefore RP = 1/10 + 1/16

= 8 Ω

Between A and B = 8 Ω

hope this helps you

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