Two equal charges $q$ are placed at a distance of $2a$ and a third charge $ - 2q$ is placed at the midpoint. The potential energy of the system is
Medium
Download our app for free and get started
(c) ${U_{system}} = \frac{1}{{4\pi {\varepsilon _0}}}\,\frac{{(q)\,( - 2q)}}{a} + \frac{1}{{4\pi {\varepsilon _0}}}\frac{{( - 2q)\,(q)}}{a} + \frac{1}{{4\pi {\varepsilon _0}}}\frac{{(q)\,(q)}}{{2a}}$
${U_{system}} = - \frac{{7\,{q^2}}}{{8\pi {\varepsilon _0}a}}$
${U_{system}} = - \frac{{7\,{q^2}}}{{8\pi {\varepsilon _0}a}}$
Download our appand get started for free
Experience the future of education. Simply download our apps or reach out to us for more information. Let's shape the future of learning together!No signup needed.*
Similar Questions
- 1Three capacitors each of $4\,\,\mu F$ are to be connected in such a way that the effective capacitance is $6\,\,\mu F.$ This can be done by connecting thernView Solution
- 2View SolutionIf a charge is shifted from a low potential region to high potential region, the electric potential energy
- 3The potential difference between the points $P$ and $Q$ in the adjoining circuit will be :-View Solution
- 4A capacitor of capacitance $900\,\mu F$ is charged by a $100\,V$ battery. The capacitor is disconnected from the battery and connected to another uncharged identical capacitor such that one plate of uncharged capacitor connected to positive plate and another plate of uncharged capacitor connected to negative plate of the charged capacitor. The loss of energy in this process is measured as $x \times 10^{-2}\,J$. The value of $x$ is $..............$View Solution
- 5The diagram shows four capacitors with capacitances and break down voltages as mentioned. What should be the maximum value of the external emf source such that no capacitor breaks down ? .......$kV$View Solution
- 6Four metallic plates arearranged as shown in the figure. If the distance between each plate then capacitance of the given system between points $A$ and $B$ is (Given $d < < A$)View Solution
- 7A container has a base of $50 \mathrm{~cm} \times 5 \mathrm{~cm}$ and height $50 \mathrm{~cm}$, as shown in the figure. It has two parallel electrically conducting walls each of area $50 \mathrm{~cm} \times 50 \mathrm{~cm}$. The remaining walls of the container are thin and non-conducting. The container is being filled with a liquid of dielectric constant $3$ at a uniform rate of $250 \mathrm{~cm}^3 \mathrm{~s}^{-1}$. What is the value of the capacitance of the container after $10$ seconds? [Given: Permittivity of free space $\epsilon_0=9 \times 10^{-12} \mathrm{C}^2 \mathrm{~N}^{-1} \mathrm{~m}^{-2}$, the effects of the non-conducting walls on the capacitance are negligible]View Solution
- 8A particle has a mass $400$ times than that of the electron and charge is double than that of a electron. It is accelerated by $5\,V$ of potential difference. Initially the particle was at rest, then its final kinetic energy will be......$eV$View Solution
- 9For two infinitely long charged parallel sheets, the electric field at $P$ will beView Solution
- 10View SolutionConsidering a group of positive charges, which of the following statements is correct?