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A network of four capacitors of capacity equal to C1 = C, C2 = 2C, C3 = 3C and C4 = 4C are connected to a battery as shown in the figure. The ratio of the charges on C2 an C4 is :

  1. A
    22/3
  2. B
    3/22
  3. C
    7/22
  4. D
    22/7

Solution & Step-by-step Explanation

To find the ratio of the charges on capacitors C2 and C4, we first need to understand how the capacitors are connected and how charge is distributed in the circuit. However, without the specific figure mentioned in the question, we can infer based on standard principles of capacitor circuits. In a typical circuit, capacitors connected in series will have the same charge across each capacitor, while capacitors in parallel will have the same voltage across each. The ratio of charges on two capacitors in a circuit depends on their capacitance values if they are in parallel (charge is proportional to capacitance for the same voltage) or the voltage applied if they are in series (charge is the same but voltage divides according to capacitance). Given the options and assuming a parallel connection for simplicity (since series connection details aren't provided), the charge on a capacitor is directly proportional to its capacitance for a given voltage. Therefore, the ratio of charges on C2 and C4, assuming they are in parallel and experience the same voltage, would be directly proportional to their capacitance ratio, which is C2/C4 = 2C/4C = 1/2. However, this explanation assumes a specific configuration not explicitly described in the question, highlighting the need for visual or more detailed circuit information to accurately determine the charge ratio.

Practice this question

Try it yourself before checking the explanation above.

A network of four capacitors of capacity equal to C1 = C, C2 = 2C, C3 = 3C and C4 = 4C are connected to a battery as shown in the figure. The ratio of the charges on C2 an C4 is :
A
22/3
B
3/22
C
7/22
D
22/7

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