Question

Assertion: Charge on all the condensers connected in series is the same
Reason : Capacitance of capacitor is directly proportional to charge on it

• A. If both assertion and reason are true and reason is the correct explanation of assertion
• B. If both assertion and reason are true but reason is not the correct explanation of assertion
• C. If assertion is true but reason is false
• D. If both assertion and reason are false

Answer 1

Answer: (C)

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