Question

a dipole of electric dipole moment p is placed in a uniform electric field of strength E.if teta is the angle between positive directions p and E then the potential energy of the dipole is largest when teta is

Answer 1

Answer:

Explanation:

Potential energy=-pEcos(Ø)

So,when angle is 180degrees, potential energy will be largest.

-pE*(-1)=pE, hope you understood

Answer 2

Concept:

• In a uniform electric field, the potential energy is the negative dot product of the dipole moment 'p' and the value of the electric field 'E'
• In a uniform electric field, the potential energy is shown by the formula u = -p.E
• The dot product is a scalar multiplication where a.b = ab cos Θ and Θ is the angle between the two vectors

Given:

• theta is the angle between positive directions p and E

Find:

• The angle at which the potential energy of the dipole is the greatest

Solution:

• u = -p E cosΘ
• The maximum value of cosΘ is 1
• So, the maximum potential energy of the dipole has the value 1
• u = 1 = -cosΘ
• cosΘ = -1
• cos π = -1
• Θ = π = 180°

The angle at which the potential energy of the dipole is the greatest 180°

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