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Electrostatic Potential and Capacitance — Physics STD 12 Science — Question

Bihar BoardEnglish MediumSTD 12 SciencePhysicsElectrostatic Potential and Capacitance1 Mark
Question
For two statements are given-one labelled Assertion (A) and the other labelled Reason (R). Select the correct answer to these questions from the codes (a), (b), (c) and (d) as given below.
  1. Both A and R are true, and R is the correct explanation of A.
  2. Both A and R are true, but R is not the correct explanation of A.
  3. A is true, but R is false.
  4. A is false, and R is also false.
Assertion (A): Charge on all the condensers connected in series is the same.
Reason (R): Capacitance of capacitor is directly proportional to charge on it.
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Answer

  1. A is true, but R is false.

Explanation:

Let two capacitors be connected in series. If +q charge is installed on left plate of the first capacitor then -q charge is induced on right plate of this capacitor. This charge comes from electron drawn from the left plate of second capacitor. Thus there will be equal charge +q on the left plate of second capacitor and -q charge induced on the right plate of second capacitor. Thus each capacitor has same charge (q) when connected in series. Capacitance is quantity dependent on construction of capacitor and independent of charge.

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