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A solid metal sphere carries a charge +Q and is at… | StemPy Lab
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A solid metal sphere carries a charge +Q and is at rest. What is the electric field at a point inside the metal, 1 cm below its surface?
Physics
Medium
High School (11–12)
Electricity & Magnetism › Electrostatics
NEET
AP
A-Level
IB
Created by
StemPy Lab
A solid metal sphere carries a charge
+
Q
+Q
+
Q
and is at rest. What is the electric field at a point inside the metal,
1
1
1
cm below its surface?
Q
4
π
ε
0
R
2
\dfrac{Q}{4\pi\varepsilon_0R^2}
4
π
ε
0
R
2
Q
, with
R
R
R
the radius of the sphere
σ
ε
0
\dfrac{\sigma}{\varepsilon_0}
ε
0
σ
, with
σ
\sigma
σ
the surface density of charge
σ
2
ε
0
\dfrac{\sigma}{2\varepsilon_0}
2
ε
0
σ
, with
σ
\sigma
σ
the surface density of charge
Zero
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← A thin metal shell of radius 18 cm carries 16 nC. Take 1/4πε₀ = 9.0 × 10⁹ N m²/C². What is the electric field 35 cm from its centre?
Close to the surface of a charged metal plate, and just outside it, the field is 6300 N/C. How much charge is there on each square metre of the plate? →
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Electricity & Magnetism › Electrostatics
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