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An electrtic dipole with dipole moment ...

An electrtic dipole with dipole moment `4xx10^(-9) C m` is aligned at `30^(@)` with the direction of a uniform electric field of magnitude `5xx10^(4) NC^(-1)`. Calculate the magnitude of the torque acting on the dipole .

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AI Generated Solution

To calculate the magnitude of the torque acting on the electric dipole, we can use the formula for torque (\( \tau \)) in an electric field, which is given by: \[ \tau = p \cdot E \cdot \sin(\theta) \] where: - \( \tau \) is the torque, ...
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An electric dipole with dipole moment 4xx 10^(-9) C-m is aligned at 30^(@) with the direction of a uniform electric field of magnitude 5xx 10^(4) NC^(-1) .Calculate the magnitude of the torque acting on the dipole.

An electric dipole of length 10cm having charges +- 6xx10^(-3) C , placed at 30^(@) with respect to a uniform electric field experiences a torque of magnitude 6 sqrt(3) N-m . Calculate (i) magnitude of electric field (ii) the potential energy of dipole.

Knowledge Check

  • A magnetised needle of magnetic moment is 4.8 xx 10^(-2) Am^(2) is placed at 30^(@) with the direction of uniform magnetic field of magnitude 3 xx 10^(-2) T. What is the torque acting on the needle?

    A
    `7.2 xx 10^(-1) N-m`
    B
    `7.2 xx 10^(-2) N-m`
    C
    `7.2 xx 10^(-4) N-m`
    D
    `7.2 xx 10^(-3) N-m`

  • An uniform electric field of magnitude 5 xx 10^(4) NC^(-1) has a dipole of dipole moment 4xx 10^(-9) cm aligned at 30^(@) with the direction of field. Calculate the magnitude of torque acting on the dipole:

    A
    `10^(-4)Nm`
    B
    `2xx10^(-3)Nm`
    C
    `2xx10^(-5)Nm`
    D
    `10^(-5)Nm`

  • An electric dipole in a uniform electric field has potential energy U. The magnitude of the torque acting on the dipole due to the field is tau .

    A
    U is minimum and `tau` is zero when the dipole is perpendicular to the field.
    B
    U is zero and `tau` is a maximum when the dipole is perpendicular to the field.
    C
    U is a minimum and `tau` is a maximum when the dipole is perpendicular to the field.
    D
    U is a minimum and `tau` is zero when the dipole is anti-parallel to the field.

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    An electric dipole experiences a torque of 10sqrt3 Nm, when placed at an angle of 60^@ with a uniform electric field of magnitude 10^3 NC^(-1) Calculate the charge on the dipole if its length is 3 cm.

    A magnetised needle of magnetic moment 4*8xx10^-2JT^-1 is placed at 30^@ with the direction of uniform magnetic field of magnitude 3xx10^-2T . What is the torque acting on the needle?

    When an electric dipole of moment | vec(p) | = q xx 2a is held at an angle theta , with the direction of uniform external electric field vec(E) , a torque tau = pE sin theta acts on the dipole. This torque tries to align the electric dipole in the direction of the field. When vec(p) is along vec(E), theta^(@) , tau = pE sin 0^(@) = zero . The dipole is in stabel equilibrium. The energy possessed by the dipole by virtue of its particular position in the electric field is called potential energy of dipole. U = W = -pE (cos theta_(2) - cos theta_(1)) theta_(1) = 90^(@) is the position of zero potential energy. :. U = W = -pE (cos theta - cos 90^(@)) = -pE cos theta . For stable equillibrium, theta 0^(@), :. U = -pE = minimum. Read the above passage and answer the following questions : (i) What is the direction of torque acting on electric dipole held at an angle with uniform external electric field ? (ii) An electric dipole of length 10cm having charges +- 6xx10^(-3) C , placed at 30^(@) with respect to a uniform electric field experiences a torque of magnitude 6 sqrt(3) N-m . Calculate. (a) magnitude of electric field. (b) potential energy of dipole. (iii) What is the physical significance of this concept in our day to day life ?

    An electric dipole of dipole moment 4xx10^(-5) Cm is placed in a uniform electric field of 10^(-3) N//C making an angle of 30^(@) with the direction of the field. Determine the torque exerted by the electric field on the dipole.

    An electric dipole of moment 5xx10^(-8) C-m is aligned in a uniform electric field of 1*44xx10^(4) N//C . Calculate potenitial energy of the diople at 60^(@) with the direction of electric field.

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