The capacitance of a spherical condenser whose inner sphere is grounded is 1uF. If the spacing between
the two spheres is 1 mm then what is the radius of the outer sphere?
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The capacitance of a spherical condenser whose inner sphere is grounded is 1uF. If the spacing between
the two spheres is 1 mm then what is the radius of the outer sphere?
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Verified answer
Answer:
Capacity of spherical capacitor bounded by two spheres is given by:
C=
R
2
−R
1
4πϵ
0
R
1
R
2
------------(i)
Now, according to question:
C=1μF=10
−6
F
and R
2
−R
1
=1mm=10
−3
m
So, by putting the value in eq. (i), we get:
10
6
=
10
−3
m
4πϵ
0
R
1
R
2
⟹R
1
R
2
=
4πϵ
0
1
×10
−6
×10
−3
As we know, R
1
≈R
2
and
4πϵ
0
1
=9×10
9
So, R
2
2
=9×10
9
×10
−9
⟹R
2
=
9
=3m
Explanation:
Answer:
Capacity of spherical capacitor bounded by two spheres is given by:
C=
R
2
−R
1
4πϵ
0
R
1
R
2
------------(i)
Now, according to question:
C=1μF=10
−6
F
and R
2
−R
1
=1mm=10
−3
m
So, by putting the value in eq. (i), we get:
10
6
=
10
−3
m
4πϵ
0
R
1
R
2
⟹R
1
R
2
=
4πϵ
0
1
×10
−6
×10
−3
As we know, R
1
≈R
2
and
4πϵ
0
1
=9×10
9
So, R
2
2
=9×10
9
×10
−9
⟹R
2
=
9
=3m
Explanation:
hope it helps
tq