Two metallic spheres of radii 1 , cm and 3 , | vedclass

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

Question

(C) When two metallic spheres are connected by a conducting wire,charge flows until both spheres reach a common potential $V$.The total charge $Q_{tot

Vedclass · Accepted Answer

$3 	imes 10^{-2} \, C$

Vedclass · Answer

(C) When two metallic spheres are connected by a conducting wire,charge flows until both spheres reach a common potential $V$.The total charge $Q_{total} = q_1 + q_2 = -1 	imes 10^{-2} + 5 	imes 10^{-2} = 4 	imes 10^{-2} \, C$.The total capacitance $C_{total} = C_1 + C_2 = 4 \pi \varepsilon_0 R_1 + 4 \pi \varepsilon_0 R_2 = 4 \pi \varepsilon_0 (R_1 + R_2)$.The common potential $V = \frac{Q_{total}}{C_{total}} = \frac{4 	imes 10^{-2}}{4 \pi \varepsilon_0 (1 	imes 10^{-2} + 3 	imes 10^{-2})} = \frac{4 	imes 10^{-2}}{4 \pi \varepsilon_0 (4 	imes 10^{-2})} = \frac{1}{4 \pi \varepsilon_0}$.The final charge on the bigger sphere $(R_2 = 3 \, cm)$ is $q_2' = C_2 V = (4 \pi \varepsilon_0 R_2) 	imes V$.$q_2' = (4 \pi \varepsilon_0 	imes 3 	imes 10^{-2}) 	imes \frac{1}{4 \pi \varepsilon_0} = 3 	imes 10^{-2} \, C$.

Two metallic spheres of radii $1 \, cm$ and $3 \, cm$ are given,with charges of $-1 \times 10^{-2} \, C$ and $5 \times 10^{-2} \, C$ respectively. If these are connected by a conducting wire,the final charge on the bigger sphere is

Similar Questions

$A$ capacitor is charged by a battery. The battery is removed and another identical uncharged capacitor is connected in parallel. The total electrostatic energy of the resulting system:

$A$ capacitor of capacity $C_1$ is charged to potential $V_1$ and then disconnected. An uncharged capacitor of capacity $C_2$ is connected in parallel with $C_1$. The resultant potential $V_2$ is

Two identical capacitors have the same capacitance $C$. One of them is charged to potential $V_1$ and the other to $V_2$. The negative ends of the capacitors are connected together. When the positive ends are also connected,the decrease in energy of the combined system is

$A$ $600\; pF$ capacitor is charged by a $200\; V$ supply. It is then disconnected from the supply and is connected to another uncharged $600\; pF$ capacitor. How much electrostatic energy is lost in the process?

Two conducting spheres of radii $5\, cm$ and $10\, cm$ are given a charge of $15\,\mu C$ each. After the two spheres are joined by a conducting wire, the charge on the smaller sphere is.......$\mu C$.

Vedclass Test Series

Exam Paper Generator

Online Exam Module