Initially, n identical capacitors are joined | vedclass

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

Question

(C) $1$. Initially, $n$ capacitors of capacitance $C$ are connected in parallel. The potential difference across each is $V$. The total charge on each

Vedclass · Accepted Answer

potential difference becomes $nV$ and energy remains the same

Vedclass · Answer

(C) $1$. Initially, $n$ capacitors of capacitance $C$ are connected in parallel. The potential difference across each is $V$. The total charge on each capacitor is $q = CV$. The total energy stored in the parallel combination is $U_p = n 	imes (\frac{1}{2}CV^2) = \frac{n}{2}CV^2$.$2$. When they are separated and connected in series, the charge $q = CV$ remains on each capacitor. $3$. The total potential difference across the series combination is $V_{total} = V_1 + V_2 + ... + V_n = nV$.$4$. The total energy stored in the series combination is $U_s = n 	imes (\frac{q^2}{2C}) = n 	imes (\frac{(CV)^2}{2C}) = n 	imes (\frac{1}{2}CV^2) = \frac{n}{2}CV^2$.$5$. Thus, the potential difference becomes $nV$ and 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

Twenty-seven drops of the same size are charged at $220 \, V$ each. They combine to form a bigger drop. Calculate the potential of the bigger drop (in $V$).

Three capacitors $A, B$ and $C$ are connected to a battery of $25 \text{ V}$ as shown in the figure. The ratio of charges on capacitors $A, B$ and $C$ will be $-$

In the given circuit,if the potential difference between $A$ and $B$ is $80 \ V$,then the equivalent capacitance between $A$ and $B$,and the charge on $10 \ \mu F$ capacitor respectively,are

If $n$ drops of the same size and same potential $V$ coalesce to form a single large drop,then the potential of the large drop will be .........

Vedclass Test Series

Exam Paper Generator

Online Exam Module