SUMMARY
The speed of an electron emitted from a cathode ray gun connected to a 10kV power supply can be calculated using the principles of energy conservation. Given the charge of the electron (|Q| = 1.6 x 10-19 C) and its mass (9.1 x 10-31 kg), the kinetic energy gained by the electron can be equated to the electrical potential energy provided by the power supply. The formula used is v = sqrt(2 * Q * V / m), where V is the voltage (10,000 volts), leading to a definitive calculation of the electron's speed.
PREREQUISITES
- Understanding of basic physics concepts such as kinetic energy and potential energy.
- Familiarity with the charge and mass of an electron.
- Knowledge of the relationship between voltage, charge, and energy.
- Ability to manipulate and solve equations involving square roots and basic algebra.
NEXT STEPS
- Study the derivation of the kinetic energy formula in the context of electric fields.
- Learn about the behavior of electrons in electric fields and how voltage affects their motion.
- Explore advanced topics in electromagnetism, particularly the motion of charged particles.
- Investigate practical applications of cathode ray tubes in technology and their underlying physics.
USEFUL FOR
Students studying physics, educators teaching electromagnetism, and anyone interested in the principles of electron dynamics in electric fields.