Asmall glass bead charged to 4.0 nc is in the plane that bisects a thin, uniformly charged, 10-cm-long glass rod and is 4.0 cm from the rod's center. the bead is repelled from the rod with a force of 940 μn. what is the total charge on the rod?

The total charge on the rod at the given electric field strength is .

The given parameters;

The electric field due to the total charge on the rod is calculated as follows;

The force experienced by the charged bead is calculated as;

Thus, the total charge on the rod at the given electric field strength is .

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Explanation:

Electric field due to a finite wire at some distance "x" from it on its perpendicular bisector is given by the formula

so here we will have

now we know that

F = qE

we will have

so we will have

so total charge on the rod is given as

f is prop to m1xm2 double m1 double force