Electric Acceleration Calculator:
Enter the values of charge of the particles, q(C), electric field strength, E(V/m) and mass of the particle, m(kg) to determine the value of electric acceleration, a(m/s2).
Electric Acceleration Formula:
Electric acceleration is a fundamental concept in electromagnetism, particularly relevant in fields such as electrical engineering, particle physics, and aerospace engineering.
It describes the acceleration of a charged particle when subjected to an electric field.
This concept is crucial for understanding how particles behave under the influence of electromagnetic forces, which is essential for the design of particle accelerators, electric propulsion systems, and other technological applications.
Electric acceleration, a(m/s2) in metres per second squared is calculated by dividing the product of charge of the particles, q(C) in coulombs and electric field strength, E(V/m) in volts per metre by mass of the particle, m(kg) in kilograms.
Electric acceleration, a(m/s2) = q(C) * E(V/m) / m(kg)
a(m/s2) = acceleration in metres per second squared, m/s2.
q(C) = charge of the particles in coulombs, C.
E(V/m) = electric field strength in volts per metre, V/m.
m(kg) = mass in kilograms, kg.
Electric Acceleration Calculation:
1.Calculate the electric acceleration of an electron:
Given:
- Charge of the electron, q(C) = -1.6 * 10-19coulombs
- Electric field strength, E(V/m) = 5000 V/m
- Mass of the electron, m(kg) = 9.11 * 10-31 kg
Electric acceleration, a(m/s2) = q(C) * E(V/m) / m(kg)
a(m/s2) = -1.6 * 10-19 * 5000 / 9.11 * 10-31
a(m/s2) = -8 * 10-16 / 9.11 * 10-31
a(m/s2) = -8.78 * 1014m/s2.
2.Calculate the electric acceleration for a proton in the same electric field:
Given:
- Charge of the proton, q(C) = 1.6 * 10-19coulombs
- Electric field strength, E(V/m) = 5000 V/m
- Electric acceleration, a(m/s2) = 4.79 * 1011m/s2.
Electric acceleration, a(m/s2) = q(C) * E(V/m) / m(kg)
m(kg) = q(C) * E(V/m) / a(m/s2)
m(kg) = 1.6 * 10-19 * 5000 / 4.79 * 1011
m(kg) = 1.67 * 10-27.
Applications and Considerations:
- Particle Physics: Understanding electric acceleration is essential in the design and operation of particle accelerators used in research and medical applications.
- Aerospace Engineering: Electric propulsion systems, such as ion thrusters, utilize electric acceleration to propel spacecraft.
- Electrical Engineering: Designing effective electromagnetic systems, including electric motors and generators, requires knowledge of electric acceleration.