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Usually the force of gravity on electrons is neglected. To see why, we can compa

ID: 2012904 • Letter: U

Question

Usually the force of gravity on electrons is neglected. To see why, we can compare the force of the Earth’s gravity on an electron with the force exerted on the electron by an electric field of magnitude of 30000 V/m (a relatively small field).
What is the force exerted on the electron by an electric field of magnitude of 30000 V/m? The acceleration of gravity is 9.8 m/s2, the mass of an electron is 9.10939 × 10-31 kg, and the elementary charge 1.602 × 10-19 C.
Answer in units of N.

What is the force of the Earth’s gravity on the electron?
Answer in units of N.

Explanation / Answer

Earth gravitational force on electron is given by F = mg here m is the mass of the electron m = 9.1*10-31 kg g is the acceleration due to gravity g = 9.8 m /sec2 now force F = ( 9.1*10-31 kg)(9.8 m /sec2)                            = 8.9*10-30 N now force due electric field F = E q                                                   = (30000 V/m)(1.6*10-19 C )                                                    = 4.8*10-15 N now the electrical force is twice as compared to gravitational force on electron. now force F = ( 9.1*10-31 kg)(9.8 m /sec2)                            = 8.9*10-30 N now force due electric field F = E q                                                   = (30000 V/m)(1.6*10-19 C )                                                    = 4.8*10-15 N now the electrical force is twice as compared to gravitational force on electron.