An electric dipole of mass m, charge q, and length l is placed in a uniform electric field E = E 0 i ^ . When the dipole is rotated slightly from its equilibrium position and released, the time peri

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An electric dipole of mass m, charge q, and length l is placed in a uniform electric field E = E 0 ​ i ^ . When the dipole is rotated slightly from its equilibrium position and released, the time period of its oscillations will be:

TestHub · Accepted Answer

τ = P E 0 ​ sin θ If θ is small τ I T T ​ = − ( P E 0 ​ ) θ = m ( 2 l ​ ) 2 ⋅ 2 = 2 m l 2 ​ = 2 π 2 ⋅ P E 0 ​ m l 2 ​ ​ = 2 π 2 ⋅ q / E 0 ​ m l 2 ​ ​ = 2 π 2 q E 0 ​ m l ​ ​ ​

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