An electric dipole is formed by two equal and | vedclass

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

Question

(B) The moment of inertia $I$ of the dipole about its center is given by:$I = m\left(\frac{d}{2}\right)^2 + m\left(\frac{d}{2}\right)^2 = 2 \cdot m \f

Vedclass · Accepted Answer

$\sqrt{\frac{2qE}{md}}$

Vedclass · Answer

(B) The moment of inertia $I$ of the dipole about its center is given by:$I = m\left(\frac{d}{2}ight)^2 + m\left(\frac{d}{2}ight)^2 = 2 \cdot m \frac{d^2}{4} = \frac{md^2}{2}$The torque $	au$ acting on the dipole in a uniform electric field $E$ is given by:$	au = pE \sin 	heta = (qd) E \sin 	heta$Using the rotational analog of Newton's second law,$	au = I \alpha$,where $\alpha$ is the angular acceleration:$(qEd) \sin 	heta = \left(\frac{md^2}{2}ight) \alpha$For small angles $	heta$,$\sin 	heta \approx 	heta$. Therefore:$(qEd) 	heta = \left(\frac{md^2}{2}ight) \alpha$$\alpha = \left(\frac{2qE}{md}ight) 	heta$Comparing this with the equation for simple harmonic motion $\alpha = \omega^2 	heta$,we get:$\omega^2 = \frac{2qE}{md}$$\omega = \sqrt{\frac{2qE}{md}}$

An electric dipole is formed by two equal and opposite charges $q$ with separation $d$. The charges have the same mass $m$. It is kept in a uniform electric field $E$. If it is slightly rotated from its equilibrium orientation,then its angular frequency $\omega$ is

Similar Questions

An electric dipole consisting of two opposite charges of $2 \times 10^{-6} \ C$ separated by a distance of $3 \ cm$ is placed in an electric field of $2 \times 10^5 \ N/C$. The maximum torque on the dipole will be

Two charges of $-4 \ \mu C$ and $+4 \ \mu C$ are placed at the points $A(1, 0, 4) \ m$ and $B(2, -1, 5) \ m$ located in an electric field $\vec{E} = 0.20 \ \hat{i} \ V/cm$. The magnitude of the torque acting on the dipole is $8 \sqrt{\alpha} \times 10^{-5} \ Nm$. Where $\alpha = $ . . . . . .

The electric field due to a short electric dipole at a distance $r$ on the axial line from its mid-point is $x$ times the electric field at a distance $2r$ on the equatorial line from the mid-point of the dipole. Then,the value of $x$ is

For an electric dipole, if the magnitude of each charge is $10^{-10} \, \text{stC}$ and the distance between them is $1 \, \mathring{A}$, then the dipole moment is:

The figure shows the electric field lines around an electric dipole. Which of the arrows best represents the electric field at point $P$?

Vedclass Test Series

Exam Paper Generator

Online Exam Module