Two infinitely long wires carry linear charge densities $+ \lambda$ and $- \lambda$ respectively as shown. The potential difference between points A (at a distance a from the first wire) and B (at a distance b from the second wire) is
- $\frac{\lambda}{2 \pi\varepsilon_{0}} ln \left(\frac{\left(d-a\right)\left(d-b\right)}{ab}\right)$
- $\frac{\lambda}{2 \pi\varepsilon_{0}} ln \left(\frac{d^2}{ab}\right)$
- $\frac{\lambda}{4 \pi\varepsilon_{0}} ln \left(\frac{\left(d-a\right)\left(d-b\right)}{ab}\right)$
- $\frac{\lambda}{2 \pi\varepsilon_{0}} \left(\frac{\left(d-a\right)\left(d-b\right)}{ab}\right)$
The Correct Option is D
Solution and Explanation
Top Questions on Electrostatic potential
- The electrostatic potential energy of the electron in an orbit of hydrogen is \( -6.8 \) eV. The speed of the electron in this orbit is (C is the speed of light in vacuum):
- AP EAMCET - 2024
- Physics
- Electrostatic potential
- When a parallel plate capacitor is charged up to 95 V, its capacitance is \( C \). If a dielectric slab of thickness 2 mm is inserted between plates and the plate separation is increased by 1.6 mm such that the potential difference remains constant, find the dielectric constant of the material:
- AP EAMCET - 2024
- Physics
- Electrostatic potential
- Electric field intensity and electric potential at a point due to a point charge are 600 V/m and -3600 V respectively. The distance of the point from the charge and the magnitude of the charge are:
- AP EAMCET - 2024
- Physics
- Electrostatic potential
- “Introduction of a small charged sphere into a larger one allows us to keep piling up a larger and larger amount of charge on the latter” – This is the principle of the:
- AP EAMCET - 2024
- Physics
- Electrostatic potential
- Two separated conducting spheres \(S_1\) and \(S_2\), of radii \(3R/4\) and \(R/4\) having \(15 \mu C\) and \(-3 \mu C\) charges respectively are at a large distance. They are now connected by a conducting wire. After a long time, the charges on \(S_1\) and \(S_2\) respectively are:
- AP EAMCET - 2024
- Physics
- Electrostatic potential
Questions Asked in UPSEE exam
Acetic acid dissociates 1.3%. What will be the pH of \(\frac {N}{10}\) solution of the acid.
- UPSEE - 2019
- Acids and Bases
Let z = x + iy be a complex number satisfying the following equation |z - (2 + i)| = |Re(z) - 4 | Which of the following options describes the above equation?
- UPSEE - 2019
- Complex Numbers and Quadratic Equations
- Let x be an $n \times 1$ matrix. Let O and I be the zero, and identity matrices of order n, respectively. Define $P = - \frac{xx^T}{x^Tx}$ is the transpose of x. Then which of the following options is always CORRECT?
- UPSEE - 2019
- Transpose of a Matrix
- Let z = x + iy be a complex number. The equation arg $\left( \frac{z + 1}{z}\right) = \frac{\pi}{4}$ represents
- UPSEE - 2019
- Complex Numbers and Quadratic Equations
- Let $a_1, a_2, a_3$, ... be an arithmetic progression with nonzero common difference. It is given that $\sum^{12}_{i = 4} a_i = 63$ and $a_k = 7 $ for some k . Then the value of k is
- UPSEE - 2019
- Arithmetic Progression
Concepts Used:
Electrostatic Potential
The electrostatic potential is also known as the electric field potential, electric potential, or potential drop is defined as “The amount of work that is done in order to move a unit charge from a reference point to a specific point inside the field without producing an acceleration.”
SI Unit of Electrostatic Potential:
SI unit of electrostatic potential - volt
Other units - statvolt
Symbol of electrostatic potential - V or φ
Dimensional formula - ML2T3I-1
Electric Potential Formula:
The electric potential energy of the system is given by the following formula:
U = 1/(4πεº) × [q1q2/d]
Where q1 and q2 are the two charges that are separated by the distance d.