Protons carry an electric charge of e = 1.60×10 19 C, electrons carry a charge o

Question

Protons carry an electric charge ofe = 1.60×1019 C, electrons carry a charge ofe, and neutrons are electrically neutral. Protonsand neutrons have a mass of 1.67×1027 kg, and electrons have a mass of9.11×1031 kg. A uniformelectric field can exert a force on a charged particle thateffectively neutralizes the force of gravity on the particle,causing it to be "weightless." What is the strength of the electricfield that will levitate (a) a proton? (b) an electron? (c) analpha particle (two protons and two neutrons)?

Explanation / Answer

Proton charge ofe = 1.60×1019 C,
mass of Proton = mass of neutron m = 1.67×1027 kg,
mass of electrons m ' = 9.11×1031 kg.
the strength of the electric field on a proton E = mg /e
plug the values we get E = 10.22 * 10 ^ -8 N / C
(b) the strength of field on an electron E ' = m' g / -e
                                                             = - 55.79 * 10 ^-12 N / C
(c) the strength of field on an alpha particle E " = 4mg/ 2e Since mass of alpha = 4m charge of alpha = 2e plug the values we get E " = 20.44* 10 ^-8 N / C Since mass of alpha = 4m charge of alpha = 2e plug the values we get E " = 20.44* 10 ^-8 N / C

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