Finding magnitude and direction of net torque on a dipole

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SUMMARY

The net torque on a dipole consisting of charges ±3.0 microcoulombs separated by 3.20 nm in an electric field of 8000 N/C is calculated using the formula T = qEl. The force acting on the dipole is determined to be 2.4E-2 N, and the effective lever arm is calculated as 1.84E-9 m. The final expression for net torque is T = 2 * F * l, confirming the clockwise or counterclockwise direction based on the orientation of the dipole.

PREREQUISITES
  • Understanding of electric dipoles and their properties
  • Familiarity with the concepts of torque and force
  • Knowledge of basic trigonometry, specifically sine functions
  • Proficiency in using the equation T = qEl for torque calculations
NEXT STEPS
  • Study the effects of varying electric field strengths on dipole torque
  • Explore the relationship between dipole moment and torque
  • Learn about the applications of dipoles in electric fields in real-world scenarios
  • Investigate the impact of angle variations on torque calculations
USEFUL FOR

Students studying electromagnetism, physics educators, and anyone interested in understanding the behavior of electric dipoles in electric fields.

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Homework Statement



For the dipole shown, the charges are ± 3.0 micro coulombs separated by a distance of 3.20 nm and oriented so that the theta is 35.0 degrees. If the electric field has a magnitude of 8000 N/C, find the magnitude and direction (clockwise/counterclockwise) of the net torque on the dipole about the same axis as before.


Homework Equations



F = qE
torque = Fl

The Attempt at a Solution



first i solved for F = (3.0E-6 C)(8000N/C) = 2.4E-2 N

then solved for l = (3.20nm)(sin35) = 1.84E-9

net torque = 2 * F * l ??
 

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NVM i solved it...

T = Fl
T = qEl
 

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