What is the Lorentz force acting on an electron moving in a magnetic field along a circle with a radius of 0.03 m
| August 22, 2021 | education
What is the Lorentz force acting on an electron moving in a magnetic field along a circle with a radius of 0.03 m, if the electron’s velocity is 10 to the 6th power of m / s? The mass of an electron is 9 * 10 to minus 31 degrees kg
To determine the value of the Lorentz force acting on the specified electron, we apply the formula: Fl = me * a = me * V ^ 2 / R.
Constants and variables: me – the mass of an electron (by condition we take me = 9 * 10 ^ -31 kg); V is the speed of the indicated electron (V = 106 m / s); R is the radius of the circle (R = 0.03 m).
Calculation: Fl = me * V ^ 2 / R = 9 * 10 ^ -31 * (106) ^ 2 / 0.03 = 3 * 10 ^ -17 H = 30 aH.
Answer: A Lorentz force of 30 aN acts on the indicated electron.
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