1. You\'ve put 3 nC of charge on a 10 cm long, thin rod. The charge is approxima

Question

1. You've put 3 nC of charge on a 10 cm long, thin rod. The charge is approximately evenly spread out. You want to figure out how strong the electric field is 3 meters away from one of the ends of the rod along the axis defined by the rod's length. You decide to get an approximate answer by imagining that you can replace the rod with a point charge located at the position of the rod's center. How strong does this approximation estimate the field to be?

this is the answer for 1: --------- 2.90 N/C

2. By how much does your approximation differ from the exact answer? (this is what i do not comprehend )

thank you so much in advance

Explanation / Answer

a)

here we use the formula

E = k *q /r^2

E = 9 * 10^9* 3 * 10^-9 / ( 3 + 0.05 )^

E = 2.9024455791 N/C

2.)

so the approximation differ from the exact answer is

2.9024455791 - 2.9 = 0.0024455791

for the percentage error

= 100 * ( 1 - 2.9 / 2.9024455791)

= 0.08425 %

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