COMEDK · Physics · 18. Capacitance
In the given figure all the capacitors \(\mathrm{C}_1, \mathrm{C}_2, \mathrm{C}_3\) and \(\mathrm{C}_4\) have the same capacitance \(4 \mu \mathrm{F}\). The emf of the cell is 12 V. What is the effective capacitance ?
- A \(C_{\text {eff }}=10 \mu \mathrm{~F}\)
- B \(C_{\text {eff }}=1 \mu \mathrm{~F}\)
- C \(C_{\text {eff }}=16 \mu \mathrm{~F}\)
- D \(C_{\text {eff }}=12 \mu \mathrm{~F}\)
Answer & Solution
Correct Answer
(A) \(C_{\text {eff }}=10 \mu \mathrm{~F}\)
Step-by-step Solution
Detailed explanation
The circuit consists of three parallel branches connected across the 12 V source. Let the left node be A and the right node be B. Branch 1 consists of capacitors \(C_1\) and \(C_2\) in series. Their equivalent capacitance \(C_{12}\) is given by…
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