Question

a small electric dipole is placed in x-y plane at the origin with its dipole moment directed along positive x-axis. the direction of electric field at point (2, 2root2, 0)   1)along positive z-axis 2)along positive y-axis 3)along negative y-axis 4)along negative z-axis

Answer 1

Answer:

Direction of torque is along +Z direction

Explanation:

As we know that electric dipole moment of the dipole is along x direction and the electric field is given along the direction

$\hat E = \frac{2\hat i + 2\sqrt2\hat j}{\sqrt{4 + 8}}$

$\hat E = \frac{\hat i + \sqrt2\hat j}{\sqrt3}$

now we know that torque on dipole is given as

$\tau = \vec P \times \vec E$

so we have

$\tau = (\hat i) \times \frac{\hat i + \sqrt2\hat j}{\sqrt3}$

$\tau = \sqrt{\frac{2}{3}}\hat k$

so direction of torque is along +Z direction

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Topic : Torque of dipole

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