Electric potential and Potential Energy and dipole PYQs: JEE Mains Physics

Showing 1–12 of 12 questions

1. 1. The electric potential as a function of \(x, y\) is given by \(V = 5(x^2 - y^2)\) V. The electric field at a point \((2, 3)\) m is __________ V/m. 2026 Medium
2. 2. For a short dipole placed at origin \(O\), the dipole moment \(P\) is along \(x\)-axis, as shown in the figure. If the electric potential and electric field at A are \(\mathrm{V}_0\) and \(\mathrm{E}_0\), respectively, then the correct combination of the electric potential and electric field, respectively, at point \(B\) on the \(y\)-axis is given by...
   2025 Medium
3. 3. The distance between charges \(+\mathrm{q}\) and \(-\mathrm{q}\) is \(2 l\) and between \(+2 \mathrm{q}\) and \(-2 \mathrm{q}\) is \(4 l\). The electrostatic potential at point \(P\) at a distance \(r\) from centre \(O\) is \(-\alpha\left[\frac{q l}{r^2}\right] \times 10^9 \mathrm{~V}\), where the value of \(\alpha\) is _______. (Use \(\left.\frac{1}{4 \pi \varepsilon_0}=9 \times 10^9 \mathrm{Nm}^2 \mathrm{C}^{-2}\right)\)
   2024 Hard
4. 4. The electric field at point p due to an electric dipole is E . The electric field at point R on equitorial line will be \(\frac{E}{x}\). The value of \(x\) is _______.
   2024 Medium
5. 5. The electrostatic potential due to an electric dipole at a distance '\(r\)' varies as _______. 2024 Hard
6. 6. An electric dipole of dipole moment is \(6.0 \times 10^{-6}\,Cm\) placed in a uniform electric field of \(1.5 \times 10^3\,NC ^{-1}\) in such a way that dipole moment is along electric field. The work done in rotating dipole by \(180^{\circ}\) in this field will be \(.........\,mJ\) 2023 Medium
7. 7. Two identical electric point dipoles have dipole moments \(\overrightarrow{p}_{1}= p\hat i\) and \(\overrightarrow{p}_{2}=- p\hat i\) and are held on the \(x-\)axis at distance \('a'\) from each other. When released, they move along the \(x-\)axis with the direction of their dipole moments remaining unchanged. If the mass of each dipole is \('m',\) their speed when they arc infinitely far apart is 2020 Medium
8. 8. A point dipole \(\vec p =  - {p_0}\hat x\) is kept at the origin. The potential and electric field due to this dipole on the \(y-\) axis at a distance \(d\) are, respectively : (Take \(V = 0\) at infinity) 2019 Medium
9. 9. A system of three charges are placed as shown in the figure. If  \(D > > d,\) the potential energy of the system is best given \(b\)
   2019 Hard
10. 10. An electric field of \(1000\,V/m\) is applied to an electric dipole at angle of \(45^o\). The value of electric dipole moment is \(10^{-29}\, C.m.\) What is the potential energy of the electric dipole? 2019 Medium
11. 11. Two electric dipoles \(A, B\) with respective dipole moments \(\overrightarrow {{d_A}}  =  - 4\,qa\,\hat i\) and \(\overrightarrow {{d_B}}  =  2\,qa\,\hat i\) are placed on the \(x-\) axis with a separation \(R\), as shown in the figure. The distance from \(A\) at which both of them produce the same potential is
    2019 Hard
12. 12. Two point dipoles of dipole moment \({\vec P_1}\) and \({\vec P_2}\) are at a distance \(x\) from each other and  \({\vec P_1}\) || \({\vec P_2}\). The force between the dipoles is 2013 Medium

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