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JEE Main 202226 JuneEvening Shift
Exam
JEE Main
Year
2022
Date
26 June
Shift
Evening Shift
Subject
Physics
Chapter
Capacitance

JEE Main 2022 · 26 June · Evening Shift · Physics · Capacitance

The charge on capacitor of capacitance 15 in the figure given below...

The charge on capacitor of capacitance 15\muF15\muF in the figure given below is

The charge on capacitor of capacitance 15 in the figure given below is

Options

  1. A60μC60\mu C
  2. B130μC130\mu C
  3. C260μC260\mu C
  4. D585μC585\mu C

Correct answer

A. 60μC60\mu C

Step-by-step solution

The charge on capacitor of capacitance 15 in the figure given below is

As we know, Q=CVQ = CV

Here all capacitors are connected in series.

Thus, equivalent capacitance is Ceq=(110+115+120)−1{C}_{eq} = {\left(\dfrac{1}{10} + \dfrac{1}{15} + \dfrac{1}{20}\right)}^{- 1} =(6+4+360)−1=6013μF= {\left(\dfrac{6 + 4 + 3}{60}\right)}^{- 1} = \dfrac{60}{13}\mu F

Therefore, charge Q=6013×13=60μCQ = \dfrac{60}{13} \times 13 = 60\mu C.

As the capacitors are connected in series, charge on each capacitor wil be same.

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