Understanding Specific Charge
Specific charge is the ratio of an object's charge (in Coulombs) to its mass (in kilograms). It's a useful concept in physics, particularly when dealing with charged particles.
Proton
* Charge: +1.602 x 10⁻¹⁹ C (elementary charge)
* Mass: 1.6726 x 10⁻²⁷ kg
Specific Charge of Proton:
(1.602 x 10⁻¹⁹ C) / (1.6726 x 10⁻²⁷ kg) ≈ 9.58 x 10⁷ C/kg
Alpha Particle
* Charge: +3.204 x 10⁻¹⁹ C (twice the elementary charge)
* Mass: 6.644657 x 10⁻²⁷ kg (approximately four times the mass of a proton)
Specific Charge of Alpha Particle:
(3.204 x 10⁻¹⁹ C) / (6.644657 x 10⁻²⁷ kg) ≈ 4.81 x 10⁷ C/kg
Conclusion
* The specific charge of a proton is approximately 9.58 x 10⁷ C/kg.
* The specific charge of an alpha particle is approximately 4.81 x 10⁷ C/kg.
Key Points
* The specific charge of a proton is about twice that of an alpha particle. This is because the proton has a smaller mass than the alpha particle, even though the alpha particle has twice the charge.
* Specific charge is a useful value for comparing the behavior of charged particles in electric and magnetic fields.
