A capacitor of capacitance 900,mu F is charge | vedclass

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

Question

(D) Given: Capacitance $C = 900\,\mu F = 900 	imes 10^{-6}\,F$,Voltage $V = 100\,V$.Initial charge on the capacitor: $Q = CV = 900 	imes 10^{-6} 	i

Vedclass · Accepted Answer

$225$

Vedclass · Answer

(D) Given: Capacitance $C = 900\,\mu F = 900 	imes 10^{-6}\,F$,Voltage $V = 100\,V$.Initial charge on the capacitor: $Q = CV = 900 	imes 10^{-6} 	imes 100 = 9 	imes 10^{-2}\,C = 90\,mC$.Initial energy stored: $U_i = \frac{1}{2} CV^2 = \frac{1}{2} 	imes (900 	imes 10^{-6}) 	imes (100)^2 = 4.5\,J$.When connected to an identical uncharged capacitor in parallel,the charge redistributes. Since the capacitors are identical,the final potential $V_f$ across each is $V_f = \frac{Q}{C_1 + C_2} = \frac{90\,mC}{900\,\mu F + 900\,\mu F} = 50\,V$.Final energy stored: $U_f = 2 	imes \left( \frac{1}{2} C V_f^2 ight) = 900 	imes 10^{-6} 	imes (50)^2 = 900 	imes 10^{-6} 	imes 2500 = 2.25\,J$.Loss of energy: $\Delta U = U_i - U_f = 4.5\,J - 2.25\,J = 2.25\,J$.Given $\Delta U = x 	imes 10^{-2}\,J$,so $2.25 = x 	imes 10^{-2} \implies x = 225$.

Similar Questions

Two spheres of radii $1 \, cm$ and $2 \, cm$ are charged with $1.5 \times 10^{-8} \, C$ and $0.3 \times 10^{-7} \, C$ of positive charge,respectively. When they are connected by a wire,the charge will flow:

Two identical capacitors each of capacitance $5 \mu F$ are charged to potentials $2 kV$ and $1 kV$ respectively. Their negative ends are connected together. When the positive ends are also connected together,the loss of energy of the system is

$A$ $20\,\mu F$ capacitor is charged to a potential of $500\,V$ and then connected in parallel to a $10\,\mu F$ capacitor charged to $200\,V$. What is the common potential in $V$?

Two circuits $(a)$ and $(b)$ have charged capacitors with capacitances and charges as shown in the figures. The switches are initially open. On closing the switches, what happens to the charge flow?

$A$ capacitor of capacitance $C$ is charged to a potential difference $V_0$. The charging battery is removed and the capacitor is now connected to an uncharged capacitor of unknown capacity. The potential difference across the combination becomes $V$. The unknown capacitance is

Vedclass Test Series

Exam Paper Generator

Online Exam Module