Question

Torque acting on a dipole moment is 4x109 Cm placed to an angle of 300 with the direction of a uniform electric field 5x104 N/C is

Answer 1

Appropriate Question :

An electric dipole with dipole moment $\sf 4\times {10}^{ - 9}$C m is aligned at 30° with the direction of a uniform electric field of magnitude $\sf 5\times{10}^{4}N{C}^{-1}$ . Calculate the magnitude of the torque acting on the dipole.

AnswEr :

• The magnitude of the torque acting on the dipole is $\sf {10}^{-4}N m$

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Given :

• Electric dipole moment(E) = $\sf 4\times {10}^{ - 9}$

• Alignment angle = 30°

• Electric field = $\sf 5\times{10}^{4}N{C}^{-1}$

To Find :

• The magnitude of the torque acting on the dipole = ?

Solution :

According to the formula ,

★ Torque acting on the magnitude is given by PEsinθ !!

So,

$\dashrightarrow \sf \ \ \ \tau=pE \sin(\theta) \\ \\ \\ \dashrightarrow \sf \ \ \ \tau=4 \times {10}^{ - 9} \times 5 \times {10}^{4} \times 30^{\circ} \\ \\ \\ \dashrightarrow \sf \ \ \ \tau=20 \times {10}^{-5}\times\dfrac{1}{2} \\ \\ \\ \dashrightarrow \sf \ \ \ { \underline{ \boxed{ \sf{ \purple{\tau = {10}^{ - 4}}}}}} \ \bigstar$

Therefore , the magnitude of the torque acting on the dipole is $\sf {10}^{-4}N m$ .

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$\dag {\Large{\underline{\underline{\texttt{\blue{ Do ya know ?}}}}}}$

• Electric dipole moment indicates the separation of positive and negative charges.

• Electric dipole moment is all about overall polarity.

• SI unit of electric dipole moment is Coulomb - meter.

• Torque acting on the magnitude is given by PEsinθ .

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