1000 small water drops each of capacitance C join together to form one large spherical drop. The capacitance of bigger sphere is

Question

1000 small water drops each of capacitance C join together to form one large spherical drop. The capacitance of bigger sphere is (A) C (B) 10 C (C) 100 C (D) 1000 C

Tardigrade Admin · Accepted Answer

C=4 π ε0 r 1000 ⋅ (4/3) π r3 =(4/3) π R3 R=10 r C'=4 π ε0 R =10(4 π ε0 r) C'=10 C

Q. $1000$ small water drops each of capacitance $C$ join together to form one large spherical drop. The capacitance of bigger sphere is

C

10 C

100 C

1000 C

$C = 4 π ε_{0} r$
$1000 \cdot \frac{4}{3} π r^{3}$
$= \frac{4}{3} π R^{3}$
$R = 10 r$
$C^{'} = 4 π ε_{0} R$
$= 10 (4 π ε_{0} r)$
$C^{'} = 10 C$

Q. 1000 small water drops each of capacitance C join together to form one large spherical drop. The capacitance of bigger sphere is

C

10 C

100 C

1000 C

C=4πε0​r 1000⋅34​πr3 =34​πR3 R=10r C′=4πε0​R =10(4πε0​r) C′=10C

Q. $1000$ small water drops each of capacitance $C$ join together to form one large spherical drop. The capacitance of bigger sphere is

$C = 4 π ε_{0} r$
$1000 \cdot \frac{4}{3} π r^{3}$
$= \frac{4}{3} π R^{3}$
$R = 10 r$
$C^{'} = 4 π ε_{0} R$
$= 10 (4 π ε_{0} r)$
$C^{'} = 10 C$