Charge of a segment of an infintely long wire

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The electric field 5.70 cm from an infinitely long charged wire is given as 1900 N/C, directed toward the wire. To find the charge on a 1.0-cm-long segment, the equation E_line = (1/4*pi*epsilon) * (2*lambda/r) is used, where lambda equals Q/L. A participant in the discussion encountered a significant discrepancy in their calculated charge, suspecting an error in their use of the radius (r) and length (L) values. Others confirmed that the values were correct and suggested the issue likely stemmed from a calculation or unit conversion error. Accurate calculations are crucial for determining the charge on the wire segment.
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1. The electric field 5.70 cm from a very long charged wire is ( 1900 N/C,toward the wire). What is the charge (in nC) on a 1.0-cm-long segment of the wire?



2. E_line = (1/4*pi*epsilon) * (2*lambda/r), lambda = Q/L



3. Using the above equation, I solved for Q using r = 5.7 cm and L = 1 cm, and got an answer several orders of magnitude off. I assume I am using incorrect r and L values. What, exactly, am I doing wrong?
 
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You're using the right values. I'm guessing you made a calculation error or a unit conversion error.
 
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