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.

$List-I$	$List-II$
$(P)$ The capacitance between $S_1$ and $S_4$, with $S_2$ and $S_3$ not connected, is	$(1)$ $3 C_0$
$(Q)$ The capacitance between $S_1$ and $S_4$, with $S_2$ shorted to $S_3$, is	$(2)$ $C_0 / 2$
$(R)$ The capacitance between $S_1$ and $S_3$, with $S_2$ shorted to $S_4$, is	$(3)$ $C_0 / 3$
$(S)$ The capacitance between $S_1$ and $S_2$, with $S_3$ shorted to $S_1$, and $S_2$ shorted to $S_4$, is	$(4)$ $2 C_0 / 3$
	$(5)$ $2 C_0$

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

In the circuit shown,$q_2$ and $q_3$ are respectively (Initially all capacitors are uncharged).

Five capacitors of capacitances $C_1 = C_2 = C_3 = C_4 = 10 \mu F$ and $C_5 = 2.5 \mu F$ are connected as shown, along with a battery of $50 \ V$. Find the equivalent capacitance and the charge on the capacitors.

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 $V$).

For the given circuit,find the potential at point $a$. (in $V$)

Vedclass Test Series

Exam Paper Generator

Online Exam Module