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13 problems tagged with Electric Potential in Electrostatics
P0850
Intermediate Electromagnetism › ElectrostaticsEquilibrium of Three Collinear Point Charges
Three point charges of magnitudes $q_1, q_2, q_3$ are placed on the same straight line, in this order, and the system is in equilibrium (each charge experiences zero net force).
- Determine the signs of the three charges.
- Prove that $\sqrt{|q_1 q_2|} + \sqrt{|q_2 q_3|} - \sqrt{|q_1 q_3|} = 0$.
P0852
Intermediate Electromagnetism › ElectrostaticsWork Done in Field of Two Equal Opposite Charges
As shown, $AB = 2l$. The arc $OCD$ is a semicircle of radius $l$ centered at $B$, in the plane of the page. Point $A$ carries charge $+q$ and point $B$ carries charge $-q$. Points on the $x$-axis are at $A = (0,0)$, $O = (l, 0)$, $B = (2l, 0)$, $D = (3l, 0)$, and $C = (2l, l)$ is the top of the semicircle.
- Find the work done by the electric field on a unit positive charge as it is moved from $O$ along the semicircular arc $OCD$ to $D$.
- Find the work done by the electric field on a unit negative charge as it is moved from $D$ along the extension of line $AB$ to infinity.
P0857
Intermediate Electromagnetism › ElectrostaticsCharge Sharing Between Two Distant Spheres
Two conducting spheres $A$ and $B$ with radii $R_1$ and $R_2$ respectively are placed very far apart, so each may be treated as an isolated sphere. Initially $A$ carries charge $Q$ and $B$ is uncharged. A thin long wire is then used to connect them. Ignore any charge stored on the wire.
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