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AP EAMCET · PHYSICS · Capacitance

Four capacitors of capacitances \(2 \mu \mathrm{F}, 3 \mu \mathrm{F}, 4 \mu \mathrm{F}\) and \(x \mu \mathrm{F}\) are connected to a battery of emf \(6 \mathrm{~V}\) and of negligible internal resistance, as shown in the figure. If the ratio of the charges on \(x \mu \mathrm{F}\) and \(4 \mu \mathrm{F}\) capacitances is \(\frac{3}{8}\), then the value of \(x\) is

  1. A 2
  2. B 5
  3. C 3
  4. D 8
Verified Solution

Answer & Solution

Correct Answer

(B) 5

Step-by-step Solution

Detailed explanation

As x and z are in parallel \(\Rightarrow\) Let charges on \(2 \mu \mathrm{F}, 3 \mu \mathrm{F}, 4 \mu \mathrm{F}\) and \(x \mu \mathrm{F}\) are \(q_2, q_3\), \(q_4\) and \(q_x\). \(q_4=C_4 V=4 \mu \mathrm{F} \times 6=24 \mu \mathrm{C}\) \(\Rightarrow\) As, given…
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