Question 422: Electrostatics & Capacitance

Question

Two isolated conducting spheres S
1
and S
2
of
radius $${2 \over 3}R$$ and $${1 \over 3}R$$ have 12 $$\mu $$C and –3 $$\mu $$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 :

Accepted Answer

q
1
+ q
2
= 12 - 3 = 9 $$\mu $$C  .....(1)
and V
1
= V
2
$$ \Rightarrow $$ $${{K{q_1}} \over {{{2R} \over 3}}} = {{K{q_2}} \over {{R \over 3}}}$$
$$ \Rightarrow $$ q
1
= 2q
2
.....(2)
Now puttion the value of (2) in (1), we get
2q
2
+ q
2
= 9
$$ \Rightarrow $$ 3q
2
= 9
$$ \Rightarrow $$ q
2
= 3 $$\mu $$C
$$ \Rightarrow $$ q
1
= 6 $$\mu $$C

Answer

4.5 $$\mu $$C on both

Answer

+4.5 $$\mu $$C and –4.5 $$\mu $$C

Answer

6 $$\mu $$C and 3 $$\mu $$C

Answer

3 $$\mu $$C and 6 $$\mu $$C

Electrostatics & Capacitance

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