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

Question

Two metallic spheres of radii 1 cm and 3 cm are given charges of -1 × 10-2 C and 5 × 10-2 C, respectively. If these are connected by a conducting wire, the final charge on the bigger sphere is (A) 2×10-2 C (B) 3×10-2 C (C) 4×10-2 C (D) 1×10-2 C

Tardigrade Admin · Accepted Answer

Q text total =4 × 10-2 C Charge distribution α capacitance α radius Q text small: Q text big =1: 3 Q text big =(3/4) × 4 × 10-2 =3 × 10-2 C

Q. Two metallic spheres of radii $1 c m$ and $3 c m$ are given charges of $- 1 \times 1 0^{- 2} C$ and $5 \times 1 0^{- 2} C$ , respectively. If these are connected by a conducting wire, the final charge on the bigger sphere is

$2 \times 1 0^{- 2} C$

$3 \times 1 0^{- 2} C$

$4 \times 1 0^{- 2} C$

$1 \times 1 0^{- 2} C$

$Q_{total} = 4 \times 1 0^{- 2} C$
Charge distribution $α$ capacitance $α$ radius
$Q_{small} : Q_{big} = 1 : 3$
$Q_{big} = \frac{3}{4} \times 4 \times 1 0^{- 2}$
$= 3 \times 1 0^{- 2} C$

Q. Two metallic spheres of radii 1cm and 3cm are given charges of −1×10−2C and 5×10−2C, respectively. If these are connected by a conducting wire, the final charge on the bigger sphere is

2×10−2C

3×10−2C

4×10−2C

1×10−2C