Find the line charge density on a long wire if the electric field 45 cm from the wire has magnitude 260 kn/c and points toward the wire.

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^.

+15-35=-20

going in opposite directions