Concepts Of Physics MCQ Edition [Volume 2]PhysicsElectric Field and Potential
A proton and an electron are placed within a uniform electric field.
Options
- AThe magnitudes of the forces will be identical
- BThe electric forces exerted on them will be equal
- CTheir accelerations will be equal
- DThe magnitudes of their accelerations will be equal
Correct answer
A. The magnitudes of the forces will be identical
Step-by-step solution
The magnitude of the electric force experienced by a charged particle in a uniform electric field E is given by F = |q|E . Since both the proton and the electron have the same magnitude of charge ( |q| = e ), they will experience electric forces of the same magnitude, F = eE . The direction of the force on the proton is along the electric field, while on the electron it is opposite to the electric field. Hence, the forces are not equal as vectors. The acceleration is given by a = F m . Since the mass of a proton is