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  • Need explanation for: - In the circuit shown, find C if the effective capacitance of the whole circuit is to be 0.5. All - Electrostatics - JEE Main-11206

 In the circuit shown, find C if the effective capacitance of the whole circuit is to be 0.5 \mu F . All values in the circuit are in \mu F. 

  • Option 1)

     \frac{7}{10} \mu F

  • Option 2)

    \frac{6}{5} \mu F

  • Option 3)

    4 \mu F

  • Option 4)

    \frac{7}{11} \mu F

Answers (1)

best_answer

 

Parallel Grouping -

C_{eq}=C_{1}+C_{2}+\cdots

- wherein

C_{AB} = 0.5=\frac{\frac{7C}{3}}{\frac{7}{3}+C}

\Rightarrow \frac{7}{3}+C = 2\times \frac{7C}{3}

7+3C =14C

11C =7

C = \frac{7}{11}\mu F

 


Option 1)

 \frac{7}{10} \mu F

Option 2)

\frac{6}{5} \mu F

Option 3)

4 \mu F

Option 4)

\frac{7}{11} \mu F
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