E and M?

Electricity and Magnetism Level 3

A stream of electrons with velocity $3\times 10^{7}\text{ m/s}$ is displaced by $2\text{ mm}$ after travelling $0.1\text{ m}$ in an electric field of strength $1800\text{ V/m}$ . Find accurate e/m from these values. If your answer is $x\times 10^{11}$ , find $x$ .

Suppose there are $n$ electrons with mass $m$ and charge $e$ .

1.76 1.78 1.75 1.758 2 1.8 1.7

1 solution

Prince Loomba
Apr 12, 2016

Suppose there are n electrons of mass m, charge e .Time to move $0.1 m=1/3 \times 10^{-8}$ . force=1800ne,mass=nm, acceleration=force/mass= $1800 \times e/m,s=1/2at^{2}: 2 \times 10^{-3}=1/2 \times 1800 \times e/m \times 1/9 \times 10^{-16}; e/m=2 \times 10^{11}$

E and M?

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