(B) The dipole moment $p$ is given by $p = q \times (2a)$,where $q = 2 \times 10^{-6} \ C$ and the separation distance $2a = 3 \ cm = 3 \times 10^{-2}

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(B) The dipole moment $p$ is given by $p = q \times (2a)$,where $q = 2 \times 10^{-6} \ C$ and the separation distance $2a = 3 \ cm = 3 \times 10^{-2} \ m$.$p = (2 \times 10^{-6} \ C) \times (3 \times 10^{-2} \ m) = 6 \times 10^{-8} \ Cm$.The torque $\tau$ on a dipole in an electric field $E$ is given by $\tau = pE \sin \theta$.For maximum torque,$\theta = 90^{\circ}$,so $\tau_{\max} = pE$.Given $E = 2 \times 10^5 \ N/C$.$\tau_{\max} = (6 \times 10^{-8} \ Cm) \times (2 \times 10^5 \ N/C) = 12 \times 10^{-3} \ Nm$.

Class 12 Physics Electric Charges and Fields Electric Dipole and Electric Field

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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

A
$12 \times 10^{-1} \ Nm$
B
$12 \times 10^{-3} \ Nm$
C
$24 \times 10^{-1} \ Nm$
D
$24 \times 10^{-3} \ Nm$

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Electric Charges and Fields

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Electric Dipole and Electric Field

An electric dipole is placed at the origin in the direction of the $x$-axis. $A$ point $P$ is at a distance of $20 \, cm$ from the origin $O$ such that $OP$ makes an angle of $\pi/3$ with the $x$-axis. If the electric field at point $P$ makes an angle $\theta$ with the $x$-axis,then the value of $\theta$ is:

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Three point charges $+q$,$-2q$ and $+q$ are placed at points $(x = 0, y = a, z = 0)$,$(x = 0, y = 0, z = 0)$ and $(x = a, y = 0, z = 0)$ respectively. The magnitude and direction of the electric dipole moment vector of this charge assembly are

MediumAIIMS 2008

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Torque acting on an electric dipole in a uniform electric field is maximum when the angle between $\vec{p}$ and $\vec{E}$ is . . . . . . . (in $^{\circ}$)

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Two point charges of same magnitude and opposite sign are fixed at points $A$ and $B$. $A$ third small point charge is to be balanced at point $P$ by the electrostatic force due to these two charges. The point $P$

Easy

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An electron and a proton are at a distance of $1\,\mathring{A}$. The dipole moment of this system will be in $(C \cdot m)$:

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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

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Three point charges $+q$,$-2q$ and $+q$ are placed at points $(x = 0, y = a, z = 0)$,$(x = 0, y = 0, z = 0)$ and $(x = a, y = 0, z = 0)$ respectively. The magnitude and direction of the electric dipole moment vector of this charge assembly are

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