Part A Constants | Periodic Table At what distance from the wire is the magnitud

Question

Part A Constants | Periodic Table At what distance from the wire is the magnitude of the electric field equal to 2.8N/C? A very long straight wire has charge per unit length 1.8x10-10 C/m View Available Hint(s) Hint 1. Equation for the electric field from a long wire A very long wire can usually be approximated as an infinitely long wire. More specifically you can approximate the wire as infinitely long if you are computing the field at a point whose distance from the axis of the wire is much smaller than the length of the wire, and you are computing the field at a point whose distance from the axis of the wire is much smaller than its distance from the end of the wire. The magnitude of the electric field due to an infinite wire given by E-MA, where the constant k = 9 Ox 109 N·m2/C2 where the constant k-9 0x109 N m2/C2 1.15714 Submit X Incorrect; Try Again; 5 attempts remaining; no points deducted Very close. Check the rounding and number of significant figures in your final answer

Explanation / Answer

the electric field at distance r from a long charged wire is

             E = ?/ 2??or  

magnitude of distance r = ?/ 2??oE   ......... (1)

where, linear charge density ? =1.8*10^-10 C/m

permittivity of free space ? = 8.85*10^-12 C^2/N.m^2

           Electric field E = 2.8 N/C

substitute the given data in eq (1), we get

                r =1.16 m

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