An electric dipole of length 4 cm is placed | vedclass

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Question

(A) The torque $	au$ experienced by an electric dipole in a uniform electric field $E$ is given by the formula: $	au = pE \sin 	heta$,where $p = q

Vedclass · Accepted Answer

$2.5 	imes 10^{10} \ N/C$

Vedclass · Answer

(A) The torque $	au$ experienced by an electric dipole in a uniform electric field $E$ is given by the formula: $	au = pE \sin 	heta$,where $p = q 	imes \ell$ is the dipole moment.Given: Charge $q = 8 	imes 10^{-9} \ C$,length $\ell = 4 	imes 10^{-2} \ m$,angle $	heta = 60^{\circ}$,and torque $	au = 4 \sqrt{3} \ Nm$.Substituting the values into the formula: $	au = (q \ell) E \sin 	heta$.$4 \sqrt{3} = (8 	imes 10^{-9}) 	imes (4 	imes 10^{-2}) 	imes E 	imes \sin 60^{\circ}$.Since $\sin 60^{\circ} = \frac{\sqrt{3}}{2}$,we have:$4 \sqrt{3} = (32 	imes 10^{-11}) 	imes E 	imes \frac{\sqrt{3}}{2}$.$4 \sqrt{3} = (16 	imes 10^{-11}) 	imes \sqrt{3} 	imes E$.Dividing both sides by $\sqrt{3}$:$4 = 16 	imes 10^{-11} 	imes E$.$E = \frac{4}{16 	imes 10^{-11}} = 0.25 	imes 10^{11} = 2.5 	imes 10^{10} \ N/C$.

An electric dipole of length $4 \ cm$ is placed with its axis making an angle of $60^{\circ}$ with a uniform electric field. It experiences a torque of $4 \sqrt{3} \ Nm$. Calculate the magnitude of the electric field. (The dipole has charges $\pm 8 \ nC$)

Similar Questions

Mention the direction of the electric dipole moment. Write the $SI$ unit of the electric dipole moment.

When does the torque acting on an electric dipole in a uniform electric field become zero?

An electric dipole is placed at an angle $60^{\circ}$ with an electric field of strength $4 \times 10^5 \,N/C$. It experiences a torque equal to $8 \sqrt{3} \,Nm$. Calculate the charge on the dipole,if the dipole length is $4 \,cm$.

When does the torque acting on an electric dipole in a uniform electric field become maximum?

Assertion $:-$ An electric dipole experiences maximum force in a uniform electric field,when it is placed with its axis at right angles to the field direction.
Reason $:-$ When the axis of a dipole is perpendicular to a uniform external electric field,then torque acting on it will be zero.

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