Initially n identical capacitors are joined i | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(A) $1$. When $n$ identical capacitors of capacitance $C$ are connected in parallel and charged to potential $V$,the charge on each capacitor is $q =

Vedclass · Accepted Answer

Potential difference becomes $n V$ and energy remains the same.

Vedclass · Answer

(A) $1$. When $n$ identical capacitors of capacitance $C$ are connected in parallel and charged to potential $V$,the charge on each capacitor is $q = CV$. The total energy stored is $U_p = n 	imes (1/2)CV^2 = (n/2)CV^2$.$2$. When these capacitors are separated,each capacitor retains its charge $q = CV$.$3$. When these $n$ capacitors are connected in series,the total potential difference across the combination is the sum of the potential differences across each capacitor: $V_{total} = V + V + ... + V$ ($n$ times) $= nV$.$4$. The total energy stored in the series combination is $U_s = n 	imes (1/2)q^2/C = n 	imes (1/2)(CV)^2/C = (n/2)CV^2$.$5$. Since $U_p = U_s$,the total energy remains the same.

Initially $n$ identical capacitors are joined in parallel and are charged to potential $V$. Now they are separated and joined in series. Then

Similar Questions

If the charge on a capacitor is increased by $2 \ C$,the energy stored in it increases by $21\%$. The original charge on the capacitor is....$C$

Assuming the drops to be spherical,$27$ identical drops of mercury are charged simultaneously to the same potential of $20 \ V$. If all the charged drops are made to combine to form one big drop,then the potential of the big drop will be: (in $V$)

$N$ identical spherical drops,each charged to the same potential $V$,are combined to form a single big drop. What will be the potential of the new big drop?

In which of the following cases is the stored energy maximum?

The charge on any one of the $2\,\mu F$ capacitors and the $1\,\mu F$ capacitor will be given respectively (in $\mu C$) as

Vedclass Test Series

Exam Paper Generator

Online Exam Module