Two isolated conducting spheres S1 and S2 of radius (2/3) R and (1/3) R have 12 μ C and -3 μ C charges, respectively, and are at a large distance from each other. They are now connected by a conducting wire. A long time after this is done the charges on S 1 and S 2 are respectively:

Question

Two isolated conducting spheres S1 and S2 of radius (2/3) R and (1/3) R have 12 μ C and -3 μ C charges, respectively, and are at a large distance from each other. They are now connected by a conducting wire. A long time after this is done the charges on S 1 and S 2 are respectively: (A) 6 μ C and 3 μ C (B) +4.5 μ C and -4.5 μ C (C) 3 μ C and 6 μ C (D) 4.5 μ C on both

Tardigrade Admin · Accepted Answer

beginarrayl q1+q2=9 μ c (K q1/(2)3 q)=(k q2/(1)3 R) q1=2 q2 3 q2=9 μ C 3 q2=9 μ C q2=3 μ C q1=6 μ c endarray

$6 μ C$ and $3 μ C$

$+ 4.5 μ C$ and $- 4.5 μ C$

$3 μ C$ and $6 μ C$

$4.5 μ C$ on both

$q_{1} + q_{2} = 9 μ c \frac{K q _{1}}{\frac{2}{3} q} = \frac{k q _{2}}{\frac{1}{3} R} q_{1} = 2 q_{2} 3 q_{2} = 9 μ C 3 q_{2} = 9 μ C q_{2} = 3 μ C q_{1} = 6 μ c$

Q. Two isolated conducting spheres S1​ and S2​ of radius 32​R and 31​R have 12μC and −3μC charges, respectively, and are at a large distance from each other. They are now connected by a conducting wire. A long time after this is done the charges on S1​ and S2​ are respectively:

6μC and 3μC

+4.5μC and −4.5μC

3μC and 6μC

4.5μC on both

q1​+q2​=9μc32​qKq1​​=31​Rkq2​​q1​=2q2​3q2​=9μC3q2​=9μCq2​=3μCq1​=6μc​

$6 μ C$ and $3 μ C$

$+ 4.5 μ C$ and $- 4.5 μ C$

$3 μ C$ and $6 μ C$

$4.5 μ C$ on both

$q_{1} + q_{2} = 9 μ c \frac{K q _{1}}{\frac{2}{3} q} = \frac{k q _{2}}{\frac{1}{3} R} q_{1} = 2 q_{2} 3 q_{2} = 9 μ C 3 q_{2} = 9 μ C q_{2} = 3 μ C q_{1} = 6 μ c$