Two charges $ + 3.2 \times {10^{ - 19}}\,C$ and $ - 3.2 \times {10^{ - 19}}\,C$ kept $2.4\, \mathop A\limits^o $ apart forms a dipole. If it is kept in uniform electric field of intensity $4 \times {10^5}\,volt/m$ then what will be its electrical energy in equilibrium
Medium
Download our app for free and get started
(b) Potential energy of electric dipole
$U = - pE\,\cos \theta $ $ = - \,(q \times 2l)E\cos \theta $
$U = - \,(3.2 \times {10^{ - 19}} \times 2.4 \times {10^{ - 10}})4 \times {10^5}\cos \theta $
$U = - \,3 \times {10^{ - 23}}$ (approx.)
$U = - pE\,\cos \theta $ $ = - \,(q \times 2l)E\cos \theta $
$U = - \,(3.2 \times {10^{ - 19}} \times 2.4 \times {10^{ - 10}})4 \times {10^5}\cos \theta $
$U = - \,3 \times {10^{ - 23}}$ (approx.)
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
- 1A parallel plate capacitor Air filled with a dielectric whose dielectric constant varies with applied voltage as $K = V$. An identical capacitor $B$ of capacitance $C_0$ with air as dielectric is connected to voltage source $V_0 = 30\,V$ and then connected to the first capacitor after disconnecting the voltage source. The charge and voltage on capacitor.View Solution
- 2The charge across the capacitor in two different $RC$ circuits $1$ and $2$ are plotted as shown in figure. Identify the correct statement$(s)$ related to the $R_1, R_2, C_1 $ and $C_2$ of the two $RC$ circuits.View Solution
- 3A point charge is surrounded symmetrically by six identical charges at distance $r$ as shown in the figure. How much work is done by the forces of electrostatic repulsion when the point charge $q$ at the centre is removed at infinityView Solution
- 4Two large circular discs separated by a distance of $0.01 m$ are connected to a battery via a switch as shown in the figure. Charged oil drops of density $900 kg m ^{-3}$ are released through a tiny hole at the center of the top disc. Once some oil drops achieve terminal velocity, the switch is closed to apply a voltage of $200 V$ across the discs. As a result, an oil drop of radius $8 \times 10^{-7} m$ stops moving vertically and floats between the discs. The number of electrons present in this oil drop is (neglect the buoyancy force, take acceleration due to gravity $=10 ms ^{-2}$ and charge on an electron ($e$) $=1.6 \times 10^{-19} C$ )View Solution
- 5View SolutionA capacitor is charged by a battery. The battery is removed and another identical uncharged capacitor is connected in parallel. The total electrostatic energy of resulting system
- 6The electric field in a region surrounding the origin is uniform and along the $x$ - axis. A small circle is drawn with the centre at the origin cutting the axes at points $A, B, C, D$ having co-ordinates $(a, 0), (0, a), (-a, 0), (0, -a)$; respectively as shown in figure then potential in minimum at the pointView Solution
- 7Ten charges are placed on the circumference of a circle of radius $R$ with constant angular separation between successive charges. Alternate charges $1,3,5,7,9$ have charge $(+q)$ each, while $2,4,6,8,10$ have charge $(-q)$ each. The potential $V$ and the electric field $E$ at the centre of the circle are respectivelyView Solution
(Take $V =0$ at infinity $)$
- 8Minimum number of capacitors of $2\,\mu F$ capacitance each required to obtain a capacitor of $5\,\mu F$ will beView Solution
- 9Four capacitors with capacitances $C_1 = 1\,\mu F, C_2 = 1.5\,\mu F, C_3 = 2.5\,\mu F$ and $C_4 = 0.5\,\mu F$ are connected as shown and are connected to a $30\, volt$ source. The potential difference between points $a$ and $b$ is.....$V$View Solution
- 10Choose the $CORRECT$ optionView Solution