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Two particles, carrying charges -q and +q and having equal masses m each, are fixed at the ends of a light rod of length a to form a dipole. The rod is clamed at an end and is placed in a uniform electric field E with the axis of the dipole along the electric field. The rod is sligtly tiltef and then released. Neglecting gravity find the time period of the small oscillations.

Two particles, carrying charges -q and +q and having equal masses m each, are fixed at the ends of a light rod of length a to form a dipole. The rod is clamed at an end and is placed in a uniform electric field E with the axis of the dipole along the electric field. The rod is sligtly tiltef and then released. Neglecting gravity find the time period of the small oscillations.

Grade:

1 Answers

AKASH GOYAL AskiitiansExpert-IITD
419 Points
10 years ago

Dear Pranshu

after slight rotation torque on the free end= (qE sinθ)a= qEaθ            (for small θ)

it is proportional to θ .  k= qEa

Moment of Inertia about clamped end, I= ma2

T= 2π √(I/k)= 2π √(ma/qE)

 

All the best.                                                           

AKASH GOYAL

AskiitiansExpert-IIT Delhi

 

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