find the equivalent capacitance between A and B?
Answers
Answer:
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Given : There are seven capacitors which are connected between A and B as shown in figure.
To find : The equivalent capacitance between A and B.
solution : have a look at rightmost side of combination.
three capacitors of capacitance 3C are connected in series combination.
so, 1/C₁ = 1/3C + 1/3C + 1/3C = 3/3C = 1/1C
C₁ = 1C
now C₁ and 1C are connected in parallel combination.
so, C₂ = C₁ + 1C = 1C + 1C = 2C
again, C₂ and 2C are joined in series combination.
so, 1/C₃ = 1/C₂ + 1/2C = 1/2C + 1/2C = 1/1C
⇒C₃ = 1C
again, C₃ and 1C are joined in parallel combination.
so, C₄ = C₃ + 1C = 1C + 1C = 2C
finally, C₄ and 1C are joined in series combination.
so, 1/Ceq = 1/C₄ + 1/1C = 1/2C + 1/1C = 3/2C
⇒Ceq = (2/3)C
Therefore equivalent capacitance between A and B is (2/3) C