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Air breaks down and conducts (sparks) when the electric… | StemPy Lab
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Air breaks down and conducts (sparks) when the electric field in it reaches about 3 × 10⁶ V/m. A metal sphere of radius 10 cm stands in air, far from other objects. Take 1/4πε₀ = 9 × 10⁹ N m² C⁻². The largest charge it can hold, and its potential then, are
Physics
Medium
High School (11–12)
Electricity & Magnetism › Electric Potential and Capacitance
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StemPy Lab
Air breaks down and conducts (sparks) when the electric field in it reaches about
3
×
10
6
V/m
3 \times 10^6\ \text{V/m}
3
×
1
0
6
V/m
. A metal sphere of radius
10
cm
10\ \text{cm}
10
cm
stands in air, far from other objects. Take
1
4
π
ε
0
=
9
×
10
9
N m
2
C
−
2
\dfrac{1}{4\pi\varepsilon_0} = 9 \times 10^9\ \text{N m}^2\,\text{C}^{-2}
4
π
ε
0
1
=
9
×
1
0
9
N m
2
C
−
2
. The largest charge it can hold, and its potential then, are
3.3
μ
C
3.3\ \mu\text{C}
3.3
μ
C
and
300
kV
300\ \text{kV}
300
kV
33
μ
C
33\ \mu\text{C}
33
μ
C
and
3000
kV
3000\ \text{kV}
3000
kV
3.3
μ
C
3.3\ \mu\text{C}
3.3
μ
C
and
30
kV
30\ \text{kV}
30
kV
0.33
μ
C
0.33\ \mu\text{C}
0.33
μ
C
and
300
kV
300\ \text{kV}
300
kV
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