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Questions and Answers
What is the expression for the potential at the common center of two concentric shells with surface charge densities $oldsymbol{rac{Q}{4 ext{Ï€}(a+b)^2}}$?
What is the expression for the potential at the common center of two concentric shells with surface charge densities $oldsymbol{rac{Q}{4 ext{Ï€}(a+b)^2}}$?
- $rac{Q}{4 ext{π}ε_0(a - b)}$
- $rac{Q}{4 ext{π}ε_0(a^2 - b^2)}$
- $rac{Q}{4 ext{π}ε_0(a^2 + b^2)}$
- $rac{Q}{4 ext{π}ε_0(a + b)}$ (correct)
What is the mathematical expression to calculate the electrostatic potential at the origin due to an infinite array of point charges with charge $q$ and distance $x=1,2,4,8,...$?
What is the mathematical expression to calculate the electrostatic potential at the origin due to an infinite array of point charges with charge $q$ and distance $x=1,2,4,8,...$?
- $rac{q}{8 ext{π}ε_0}$
- $rac{q}{4 ext{π}ε_0}$ (correct)
- $rac{q}{2 ext{π}ε_0}$
- $rac{q}{16 ext{π}ε_0}$
In the context of electrostatics, what does the expression $oldsymbol{rac{Q}{4 ext{Ï€}(a+b)^2}}$ represent?
In the context of electrostatics, what does the expression $oldsymbol{rac{Q}{4 ext{Ï€}(a+b)^2}}$ represent?
- Electric field strength between two concentric shells
- Potential due to a single point charge at distance $r$
- Potential at the common center of two concentric shells (correct)
- Net potential due to an infinite array of point charges at the origin
In the given system, what condition must be satisfied for the resultant force on charge q to be zero?
In the given system, what condition must be satisfied for the resultant force on charge q to be zero?
In Illustration 5, why does the force on the point charge -q at the center of the hexagon become zero if a sixth charge +q is added at the vacant vertex?
In Illustration 5, why does the force on the point charge -q at the center of the hexagon become zero if a sixth charge +q is added at the vacant vertex?
In Illustration 6, what happens to the time period of a charge q when it is slightly displaced from its midpoint position along the line joining two charges of magnitude Q?
In Illustration 6, what happens to the time period of a charge q when it is slightly displaced from its midpoint position along the line joining two charges of magnitude Q?
If the separation between two point charges decreases, what happens to the electric potential energy of the system?
If the separation between two point charges decreases, what happens to the electric potential energy of the system?
In Illustration 21.Q, if the electric potential energy of the given system is positive, what can be concluded about the relationship between 2Q and 3q?
In Illustration 21.Q, if the electric potential energy of the given system is positive, what can be concluded about the relationship between 2Q and 3q?
In Illustration 22, if the two nearest charges are mutually interchanged and the potential energy becomes U2, what will be the relationship between U1 and U2?
In Illustration 22, if the two nearest charges are mutually interchanged and the potential energy becomes U2, what will be the relationship between U1 and U2?
Considering Illustration 23, if four charges q each are placed at the four corners of a square of side a, what is the potential energy of one of the charges at corner A?
Considering Illustration 23, if four charges q each are placed at the four corners of a square of side a, what is the potential energy of one of the charges at corner A?
