Answer: line charge density
= 12.95*EXP{-6} C/m
=12.95 microC/m
Where EXP represent 10^
Explanation: The Electric Field, line charge density and lenght of a wire are related as follows
E = charge density/{4*π*permitivity
of free space*lenght}
π=3.142
permitivity of vacuum=8.854*EXP{-12}
Lenght=45cm=0.45m
E=260000N/C
Making line charge density subject of the formula by cross multiplying we have
Line charge density
= 260000*4*3.142*8.854*EXP{-12}*0.45.
= 1294.5*EXP{-8}C/m
= 12.95*EXP{-6}C/m(charge density)
NOTE: EXP represent 10^.