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Infinite Line of Charge: a Long, Thin Rod Parallel to the Y-Axis

Question 51

Multiple Choice

Infinite line of charge: A long, thin rod parallel to the y-axis is located at x = -1.0 cm and carries a uniform linear charge density of +1.0 nC/m. A second long, thin rod parallel to the z-axis is located at x = +1.0 cm and carries a uniform linear charge density of -1.0 nC/m. What is the net electric field due to these rods at the origin? (ε0 = 8.85 × 10-12 C2/N ∙ m2)


A) (-3.6 × 103 N/C) Infinite line of charge: A long, thin rod parallel to the y-axis is located at x = -1.0 cm and carries a uniform linear charge density of +1.0 nC/m. A second long, thin rod parallel to the z-axis is located at x = +1.0 cm and carries a uniform linear charge density of -1.0 nC/m. What is the net electric field due to these rods at the origin? (ε<sub>0</sub> = 8.85 × 10<sup>-12</sup> C<sup>2</sup>/N ∙ m<sup>2</sup>) A) (-3.6 × 10<sup>3</sup> N/C) B) (1.8 × 10<sup>3</sup> N/C) C) (-1.8 × 10<sup>3</sup> N/C) D) (3.6 × 10<sup>3</sup> N/C) E) zero
B) (1.8 × 103 N/C) Infinite line of charge: A long, thin rod parallel to the y-axis is located at x = -1.0 cm and carries a uniform linear charge density of +1.0 nC/m. A second long, thin rod parallel to the z-axis is located at x = +1.0 cm and carries a uniform linear charge density of -1.0 nC/m. What is the net electric field due to these rods at the origin? (ε<sub>0</sub> = 8.85 × 10<sup>-12</sup> C<sup>2</sup>/N ∙ m<sup>2</sup>) A) (-3.6 × 10<sup>3</sup> N/C) B) (1.8 × 10<sup>3</sup> N/C) C) (-1.8 × 10<sup>3</sup> N/C) D) (3.6 × 10<sup>3</sup> N/C) E) zero
C) (-1.8 × 103 N/C) Infinite line of charge: A long, thin rod parallel to the y-axis is located at x = -1.0 cm and carries a uniform linear charge density of +1.0 nC/m. A second long, thin rod parallel to the z-axis is located at x = +1.0 cm and carries a uniform linear charge density of -1.0 nC/m. What is the net electric field due to these rods at the origin? (ε<sub>0</sub> = 8.85 × 10<sup>-12</sup> C<sup>2</sup>/N ∙ m<sup>2</sup>) A) (-3.6 × 10<sup>3</sup> N/C) B) (1.8 × 10<sup>3</sup> N/C) C) (-1.8 × 10<sup>3</sup> N/C) D) (3.6 × 10<sup>3</sup> N/C) E) zero
D) (3.6 × 103 N/C) Infinite line of charge: A long, thin rod parallel to the y-axis is located at x = -1.0 cm and carries a uniform linear charge density of +1.0 nC/m. A second long, thin rod parallel to the z-axis is located at x = +1.0 cm and carries a uniform linear charge density of -1.0 nC/m. What is the net electric field due to these rods at the origin? (ε<sub>0</sub> = 8.85 × 10<sup>-12</sup> C<sup>2</sup>/N ∙ m<sup>2</sup>) A) (-3.6 × 10<sup>3</sup> N/C) B) (1.8 × 10<sup>3</sup> N/C) C) (-1.8 × 10<sup>3</sup> N/C) D) (3.6 × 10<sup>3</sup> N/C) E) zero
E) zero

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