The diagram shows four capacitors with capacitances and break down voltages as mentioned. What should be the maximum value of the external emf source such that no capacitor breaks down ? .......$kV$
Diffcult
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Charge can not exceed $3 K C V$ on upper branch while on lower branch it can not exceed $6 K C V$.

$V_{1}+V_{2}=\frac{3}{3}+\frac{3}{2}=2.5 K V$

$V_{3}+V_{4}=\frac{6}{7}+\frac{6}{3}=\frac{20}{7} K V \Rightarrow E=2.5 K V$

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