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Electric field please show work

label Physics
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A straight, copper wire has a length of 0.50 m and an excess charge of -1.0 × 10-5 C distributed uniformly along its length. Find the magnitude of the electric field at a point located 7.5 × 10-3 m from the midpoint of the wire.

Feb 26th, 2015

charge = q = -1.0 × 10^-5 C

point distance = r = 7.5 × 10^-3 m

electric field = E = ?

Now as we know that

E = k q / r^2

Now putting the values, we get

E = (9 × 10^9) (1.0 × 10^-5 C) / (7.5 × 10^-3)^2

E = 9 × 10^9 - 5 / 56.25 × 10^-6 × 10^2

E = 9 × 10^4 / 56.25 × 10^-4

E = 9 × 10^4 + 4 / 56.25

E = 9 × 10^8 / 56.25

E = 0.16 × 10^8

E = 16 × 10^6

E = 16 G NC^-1

Feb 26th, 2015

Bilal hey the answer was 4.8x10^7 N/C though

Feb 26th, 2015

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Feb 26th, 2015
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