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Calculate the ratio e/m for the electron. When an electron of mass m accelerates through a potential difference of V volts it gains kinetic energy that is equal to eV. Derive an expression for the speed of the electron v that accelerates from rest through a voltage of V volts. (Equate kinetic energy and eV and solve for velocity) In our experiment, the electron travels in a circular path of radius r in a uniform magnetic field B.

Calculate the ratio e/m for the electron. When an electron of mass m accelerates through a potential difference of V volts it gains kinetic energy that is equal to eV. Derive an expression for the speed of the electron v that accelerates from rest through a voltage of V volts. (Equate kinetic energy and eV and solve for velocity) In our experiment, the electron travels in a circular path of radius r in a uniform magnetic field B.

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Calculate the ratio e/m for the electron. When an electron of mass m accelerates through a potential difference of V volts it gains kinetic energy that is equal to eV. Derive an expression for the speed of the electron v that accelerates from rest through a voltage of V volts. (Equate kinetic energy and eV and solve for velocity) In our experiment, the electron travels in a circular path of radius r in a uniform magnetic field B. What is the magnitude of the force on the electron? Express your answer in terms of m, r, and v (Recall centripetal force from The force in (a) is provided by a magnetic field. What is the magnitude of the magnetic force experience by the electron Equate two forces you found in (a) and (b). Find the expression for V/r. Express your answer in terms of B and v only using an expression you wrote in Q 2. Finally, plug the values of v from Q2 and express V/r in terms of B, v, e, and m and show that x vv If you plot VIr vs. VV, what does the slope of the curve give? Suppose the curve has a slope of C, find the expression for e/m that contains C and B.
Transcribed Image Text:Calculate the ratio e/m for the electron. When an electron of mass m accelerates through a potential difference of V volts it gains kinetic energy that is equal to eV. Derive an expression for the speed of the electron v that accelerates from rest through a voltage of V volts. (Equate kinetic energy and eV and solve for velocity) In our experiment, the electron travels in a circular path of radius r in a uniform magnetic field B. What is the magnitude of the force on the electron? Express your answer in terms of m, r, and v (Recall centripetal force from The force in (a) is provided by a magnetic field. What is the magnitude of the magnetic force experience by the electron Equate two forces you found in (a) and (b). Find the expression for V/r. Express your answer in terms of B and v only using an expression you wrote in Q 2. Finally, plug the values of v from Q2 and express V/r in terms of B, v, e, and m and show that x vv If you plot VIr vs. VV, what does the slope of the curve give? Suppose the curve has a slope of C, find the expression for e/m that contains C and B.
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