Department of Natural Sciences

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Clayton State University

Department = of Natural Sciences

January 21, 2= 009

Physics 221= 2 – Quiz 1

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Name ___= _SOLUTION_________________________________

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1. Particles of charge -20.0 mC, +35.0 mC, and - 56.0 mC are placed in a line as shown below. The center one= is 0.500 m from each of the others. Calculate the net electric field due to the charges 0.500 m to the right from third charge.

= q₁ =3D -20.0 x 10^-6 C

=
q₂ =3D +35.0 x 10^-6 C

=

= q₃ =3D -56.0 x 10^-6 C

=

E₁ =3D k | q₁|/r₁² =3D (8.99 x 10⁹ N-m²/C²) (20.0 x 10^-6= C)/(1.50 m)²=3D 0.799 x 10^{5 N/C,
to the left}

E₂ =3D k |q2 |/r₂² =3D (8.99 x 10⁹ N-m²/C²) (35.0 x 10^-6= C)/(1.00 m)²=3D 3.14 x 10^{5 N/C,
to the right}

E₃ =3D k | q₃|/r₃² =3D (8.99 x 10⁹ N-m²/C²) (56.0 x 10^-6= C)/(0.500 m)²=3D 20.1 x 10^{5 N/C,
to the left}

Etot =3D E₁ + E₂ + E₃=3D -0.799 x 10^{5 N/C +
3.14 x 10⁵ N/C - 20.1 x 10⁵ N/C =3D -1.78 x 10⁶ N/C (Net elect=
ric
field points to the left.)}

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