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JEE Main
Exam
JEE Main
Subject
Physics
Chapter
Capacitance

JEE Main · Physics · Capacitance

Four capacitors marked with capacitances and breakdown voltages are...

Four capacitors marked with capacitances and breakdown voltages are connected as shown in the figure. The maximum emf of the source, so that no capacitor breaks down is Four capacitors marked with capacitances and breakdown voltages are connected as shown in the figure. The maximum emf

Options

  1. A10.5 kV
  2. B5.25 kV
  3. C2.25 kV
  4. D1.25 kV

Correct answer

C. 2.25 kV

Step-by-step solution

Four capacitors marked with capacitances and breakdown voltages are connected as shown in the figure. The maximum emf
Resultant capacitance of series combination 1 , =15+14=920Ceq1 and =209=2.25μF\begin{aligned}& =\frac{1}{5}+\frac{1}{4}=\frac{9}{20}\\ C_{\mathrm{eq}_1} \text{ and } =\frac{20}{9}=2.25 \mu \mathrm{F} \end{aligned}Resultant capacitance of series combination 2,  and =13+12=56Ceq2=65=1⋅2μF\begin{aligned} \text{ and } =\frac{1}{3}+\frac{1}{2}=\frac{5}{6}\\ C_{\mathrm{eq}_2} & =\frac{6}{5}=1 \cdot2 \mu F \end{aligned}So, charge on upper branch is =209 V=\frac{20}{9} \mathrm{~V} and charge on lower branch is $\frac{6}{5} \mathrm{~V}.Four capacitors marked with capacitances and breakdown voltages are connected as shown in the figure. The maximum emf
So, smallest value is 2.25 kV.
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