An electric dipole of length 2 cm is placed with its axis making an angle of 30° to a uniform electric field 10^5N/C.If it experiences a torque of 17.3Nm then potential energy of the dipole will be?
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Answered by
151
we know, torque of electric dipole is the cross product of dipole moment and electric field.
i.e.,
magnitude of torque, ,
given, and
so, 17.3N/m = |P| × 10^5 × sin30°
or, 3.46 × 10^-4 = |P|
so, magnitude of dipole moment, |P| = 3.46 × 10^-4 Cm
now, potential energy = -P.E
= -|P|.|E|cos30°
= -3.46 × 10^-4 × 10^5 × √3/2
= - 3 × 10¹
= -30 J
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