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6 problems tagged with metal-in-electric-field
P0823
Intermediate Electromagnetism › ElectrostaticsElectrostatic Shielding by a Conductor Shell
A charged body is brought close to a conductor shell.
- Does the charged body alone produce zero electric field inside the cavity of the conductor shell?
- How is the electrostatic shielding effect of the conductor shell manifested?
P0824
Intermediate Electromagnetism › ElectrostaticsConducting Sphere in Electrostatic Equilibrium
An isolated conducting sphere carries charge $+Q$.
- In what direction is the electric field at the surface of the sphere? Is $Q$ uniformly distributed on the surface? Is the surface an equipotential? What is the field at any interior point $P$?
- If another charged body is brought close, at the new electrostatic equilibrium: is the surface charge still uniformly distributed? In what direction is the surface field? Is the surface still an equipotential? Does the field at the interior point $P$ change?
P0825
Intermediate Electromagnetism › ElectrostaticsPoint Charge at Center of Spherical Shell
A point charge $q$ is placed at the center of an uncharged metal spherical shell.
- What is the field strength at point $A$ outside the shell (distance $r$ from the center) and at point $B$ inside the cavity (distance $r'$ from the center, between $q$ and the inner surface)?
- If $q$ is displaced from the center, do the field strengths at $A$ and $B$ change?
- What measure should be taken so that the shell shields $q$'s influence from the outside world?
P0835
Intermediate Electromagnetism › ElectrostaticsElectrostatic Induction on Two Uncharged Conductors
In Figure, two small charged balls $A$ and $B$ carry opposite charges ($A$ positive on the left, $B$ negative on the right). Two originally uncharged conductors $C$ and $D$ are placed in a row between them. Conductor $C$ has left end $C_1$ (closer to $A$) and right end $C_2$. Conductor $D$ has left end $D_1$ and right end $D_2$ (closer to $B$). The arrangement, from left to right, is $A$, $C_1$--$C$--$C_2$, $D_1$--$D$--$D_2$, $B$.
- At electrostatic equilibrium, what kind of charge does each of $C_1$, $C_2$, $D_1$, $D_2$ carry?
- Which conductor is at higher potential, $C$ or $D$?
- If a wire is used to connect $C_1$ and $D_2$, in which direction will electrons flow through the wire?
P0845
Intermediate Electromagnetism › ElectrostaticsInduced-Charge Field at Midpoint of Conducting Rod
A conducting rod of length $l$ is initially uncharged. A point charge of magnitude $q$ is placed on the axis of the rod, at a distance $r$ from the rod's left end. After electrostatic equilibrium is reached, induced charges appear on the rod.
P0858
Intermediate Electromagnetism › ElectrostaticsConcentric Spherical Conductors with Inner Charge
Two concentric spherical conducting shells: the inner shell carries charge $Q$, and the outer shell has zero net charge.
- What is the charge $Q_1$ on the inner surface of the outer shell, and the charge $Q_2$ on its outer surface?
- At a point $P$ outside the outer shell at distance $r$ from the center, what is the total electric field?
- What field at $P$ is produced by $Q_2$ alone? Does $Q$ produce a field at $P$? Does $Q_1$? What changes if the outer shell is grounded?
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