Question

2) Imagine that you perform the specific charge of the electron experiment in the lab. and have taken the following data; \begin{tabular}{|c|c|c|c|c|} \hline & \multicolumn{2}{c|}{r = 0.03 m} & \multicolumn{2}{c|}{r = 0.04 m} \\ \hline U(V) & I(A) & e/m(A.s/kg) & I(A) & e/m(A.s/kg) \\ \hline 240 & 2.52 & & 1.89 & \\ \hline 260 & 2.61 & & 1.96 & \\ \hline \end{tabular} a) Calculate the magnetic field induced by each current, b) Find the e/m ratio for each measurement, c) Calculate the percentage error of e/m for; \qquad i) Average value obtained by keeping \textquotedbl{}r\textquotedbl{} fixed, \qquad ii) Average value obtained by keeping \textquotedbl{}U\textquotedbl{} fixed, d) Can you tell which option in c) is more reliable, why?

          2) Imagine that you perform the specific charge of the electron experiment in the lab. and have taken the
following data;

\begin{tabular}{|c|c|c|c|c|}
\hline
 & \multicolumn{2}{c|}{r = 0.03 m} & \multicolumn{2}{c|}{r = 0.04 m} \\
\hline
U(V) & I(A) & e/m(A.s/kg) & I(A) & e/m(A.s/kg) \\
\hline
240 & 2.52 &  & 1.89 &  \\
\hline
260 & 2.61 &  & 1.96 &  \\
\hline
\end{tabular}

a) Calculate the magnetic field induced by each current,
b) Find the e/m ratio for each measurement,
c) Calculate the percentage error of e/m for;
\qquad i) Average value obtained by keeping \textquotedbl{}r\textquotedbl{} fixed,
\qquad ii) Average value obtained by keeping \textquotedbl{}U\textquotedbl{} fixed,
d) Can you tell which option in c) is more reliable, why?

2) Imagine that you perform the specific charge of the electron experiment in the lab. and have taken the
following data;

2c|r = 0.03 m 2c|r = 0.04 m

U(V) I(A) e/m(A.s/kg) I(A) e/m(A.s/kg)

240 2.52 1.89

260 2.61 1.96

a) Calculate the magnetic field induced by each current,
b) Find the e/m ratio for each measurement,
c) Calculate the percentage error of e/m for;
i) Average value obtained by keeping r fixed,
ii) Average value obtained by keeping U fixed,
d) Can you tell which option in c) is more reliable, why?

Added by Timothy H.

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