Stationary particle in a laser beam

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SUMMARY

A stationary particle with a charge of q = 3.0 x 10-8 C is placed in a laser beam with an intensity of 2.5 x 103 W/m2. The electric force exerted on the charge can be calculated using the equation F = qE, where E is derived from the energy density formula u = (1/2)εoE2. The magnetic force on the stationary charge is determined to be zero, as a stationary charge experiences no magnetic force.

PREREQUISITES
  • Understanding of electric fields and forces
  • Familiarity with electromagnetic theory
  • Knowledge of energy density in electromagnetic waves
  • Basic calculus for solving equations
NEXT STEPS
  • Calculate electric field strength from intensity using E = √(2S/εo)
  • Explore the relationship between electric and magnetic fields in electromagnetic waves
  • Study the effects of stationary charges in electric fields
  • Learn about the Poynting vector and its relevance to energy flow in electromagnetic fields
USEFUL FOR

Students studying electromagnetism, physics educators, and anyone interested in the interactions between charged particles and electromagnetic fields.

Dart82
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Homework Statement

A stationary particle of charge q = 3.0 10-8 C is placed in a laser beam whose intensity is 2.5 103 W/m2.

(a) Determine the magnitude of the electric force exerted on the charge.

(b) Determine the magnitude of the magnetic force exerted on the charge.




Homework Equations


Force on a charge--> F=qE
S = cu
u = (1/2)εo*E^2




The Attempt at a Solution


a.) i am given S and i know c so i can find u by S/c = u.
now that i have u i can solve for E using u = (1/2)εo*E^2.
I multiply E times q to get F.
sounds easy enough and makes sense to me, however i am doing something wrong here huh?

b.) i know that the magnitude will be zero since the charge is stationary.
 
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Looks OK to me.
 

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