Two point charges q_1 = 6 mutext{C} and q_2 = | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(A) The electrostatic potential energy of a system of two point charges is given by $U = \frac{1}{4\pi\epsilon_0} \frac{q_1 q_2}{r}$.Initial distance

Vedclass · Accepted Answer

$0.54 	ext{J}$

Vedclass · Answer

(A) The electrostatic potential energy of a system of two point charges is given by $U = \frac{1}{4\pi\epsilon_0} \frac{q_1 q_2}{r}$.Initial distance $r_1 = 10 	ext{cm} = 0.1 	ext{m}$.Final distance $r_2 = 10 	ext{cm} - 2 	ext{cm} = 8 	ext{cm} = 0.08 	ext{m}$.Initial potential energy $U_1 = (9 	imes 10^9) 	imes \frac{(6 	imes 10^{-6}) 	imes (4 	imes 10^{-6})}{0.1} = \frac{9 	imes 24 	imes 10^{-3}}{0.1} = 2.16 	ext{J}$.Final potential energy $U_2 = (9 	imes 10^9) 	imes \frac{(6 	imes 10^{-6}) 	imes (4 	imes 10^{-6})}{0.08} = \frac{9 	imes 24 	imes 10^{-3}}{0.08} = 2.70 	ext{J}$.Increase in potential energy $\Delta U = U_2 - U_1 = 2.70 	ext{J} - 2.16 	ext{J} = 0.54 	ext{J}$.

Similar Questions

If $OP = 1 \, cm$ and $OS = 2 \, cm$,calculate the work done by the electric field in shifting a point charge $q = \frac{4\sqrt{2}}{27} \, \mu C$ from point $P$ to $S$ in the given figure. The dipole moment is $p = 2 \times 10^{-6} \, C \cdot m$.

Two charges ${q_1}$ and ${q_2}$ are placed $30\,cm$ apart,as shown in the figure. $A$ third charge ${q_3}$ is moved along the arc of a circle of radius $40\,cm$ from $C$ to $D$. The change in the potential energy of the system is $\frac{{{q_3}}}{{4\pi {\varepsilon _0}}}k$,where $k$ is:

Two electric dipoles,each of dipole moment $P$,are placed at points $A(a, 0)$ and $B(-a, 0)$ as shown in the figure. The work done in rotating both the dipoles through $90^{\circ}$ in the clockwise direction is $(E = \text{Electric field})$

The work required to be done to assemble four particles,each having a charge $+q$,at the four corners of a square of side $a$ is .......

The potential energy of a system of two equal negative point charges of $2 \mu C$ each,held $1 \ m$ apart in air,is . . . . . . . $\left( k = 9 \times 10^9 \text{ SI units} \right)$

Vedclass Test Series

Exam Paper Generator

Online Exam Module