Question

Consider a capacitor charging circuit. Let $Q_{1}$ be the charge given to the capacitor in time interval of $20\, ms$ and $Q_{2}$ be the charge given in the next time interval of $20\, ms$. Let $10\, \mu C$ charge be deposited in a time interval $t_{1}$ and the next $10 \,\mu C$ charge is deposited in the next time interval $t_{2}$. Then :

• A. $Q_{1} >Q_{2}, t_{1} >t_{2}$
• B. $Q_{1} >Q_{2}, t_{1}< t_{2}$
• C. $Q_{1}< Q_{2}, t_{1} >t_{2}$
• D. $Q_{1}< Q_{2}, t_{1}< t_{2}$

Answer 1

Answer: (B)

Initial rate of charging is fast so $Q_{1} >Q_{2}$ and in second case as amount of charges are equal in the two intervals so $t_{2} >t_{1}$.