In an experiment to determine the charge-to-mass ratio e/m of the electron using a cylindrical diode, the following equation is derived:

where V is the potential difference across the diode of radius r at the critical magnetic field B. The latter is supplied by passing a current I through a solenoid of diameter D and length L, and is given by

where n is the number of turns per unit length (see problem 138). The appropriate experimental quantities are determined as follows:

(i) Determine the magnitude of the field B and the error in this quantity.(ii) Determine the value of elm and the error in this quantity.

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- 8V