दो समान संधारित्रों को पहले श्रेणी क्रम में और फिर समांतर क्रम में संयोजित किया गया है। दोनों प्रकरणों की तुल्य संधारिताओं का अनुपात होगा :

  1. 1 ∶ 2
  2. 2 ∶ 1
  3. 4 ∶ 1
  4. 1 ∶ 4

Answer (Detailed Solution Below)

Option 4 : 1 ∶ 4
Free
JEE Main 04 April 2024 Shift 1
13 K Users
90 Questions 300 Marks 180 Mins

Detailed Solution

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Explanation:

Equivalent capacitance of capacitors -

→Connected in series: When n capacitors C1, C2, C3, ... Cn are connected in series, the net capacitance (Cs) is given by:

\(⇒ \frac{1}{C_s} = \frac{1}{C_1} + \frac{1}{C_2}+ \frac{1}{C_3} + ... \frac{1}{C_n}\)

→Connected in parallel: When n capacitors C1, C2, C3, ... Cn are connected in parallel, the net capacitance (Cp) is given by:

⇒ Cp = C+ C2  + C+...  Cn

Now, If Two capacitors of Capacitance 'C' are connected in series then the equivalent capacitance is C/2.

If Two capacitor of Capacitance 'C' are connected in parallel then equivalent capacitance is 2C

so, Ratio in these two cases will be= 1:4

Hence, Option 4) is the correct choice.

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