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Exam 21: Electric Charge and Electric Field

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Question 51

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A long, thin rod parallel to the y-axis is located at x = - 1 cm and carries a uniform positive charge density λ = 1 nC/m . A second long, thin rod parallel to the z-axis is located at x = +1 cm and carries a uniform negative charge density λ = - 1 nC/m. What is the electric field at the origin?

A) (-3.6 × 10³ N/C)
B) (1.8 × 10³ N/C)
C) (-1.8 × 10³ N/C)
D) (3.6 × 10³ N/C)
E) 0

F) A) and C)
G) C) and E)

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Question 52

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A 5.0-C charge is 10 m from a small test charge. What is the magnitude and direction of the electric field at the location of the test charge?

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4.5 × 10⁸ N...

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Question 53

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The electric field along the axis of a ring-shaped charge of total charge Q distributed uniformly is given by E = Qx/(4π ^ε0 (x²+ a²)^3/2) where a is the radius of the ring and x is the distance from the center of the ring. The electric field at the center of the ring is zero and at great distances from the ring approaches zero. At what position is the electric field a maximum for positive values of x?

FIGURE 21-10 -Which of the arrows shown in Fig. 21-10 represents the correct direction of the electric field between the two metal plates?

Four equal negative point charges are located at the corners of a square, their positions in the x-y plane being (1, 1) , (-1, 1) , (-1, -1) , (1,-1) . The direction of the electric field on the x-axis at (1, 0) is

A charge Q₁ is located at coordinates (x = +a, y = +a) . A second charge Q₂ , identical to Q₁, is located in such a way that the net electric field at the origin of the coordinate axis (x = 0, y = 0) is equal to 0. What are the coordinates of Q₂?

Two equal charges of magnitude +1 C are separated by a distance of 1 km. What is the force acting between these two charges?

FIGURE 21-7 -Two charges Q₁ and Q₂ of equal magnitudes and opposite signs are positioned as shown in Fig. 21-7. Which of the shown arrows represents correctly the electric field at point P?

Two point charges each have a value of 3.0 C and are separated by a distance of 4.0 m. What is the electric field at a point midway between the two charges?

FIGURE 21-6 -Four point charges of varying magnitude and sign are arranged on the corners of the square of side d as shown in Fig. 21-6. Which of the arrows shown represents the net force acting on the point charge with a charge +Q?

FIGURE 21-8 -Three equal point charges are placed at the corners of a square of side d as shown in Fig. 21-8. What is the correct expression of the net electric field at the center of the square?

A ring of negative, uniform charge density is placed on the xz-plane with the center of the ring at the origin. A positive charge moves along the y axis toward the center of the ring. At the moment the charge passes through the center of the ring

In deriving the axial electric field for the ring-shaped charge distribution and the electric field from a long line of charge, the component perpendicular to the resulting field is zero because of what physical property?

A material is a good conductor because it

A copper penny has a mass of 3.0 g. A total of 4.0 × 10¹² electrons are transferred from one neutral penny to another. If the electrostatic force of attraction between the pennies is equal to the weight of a penny, what is the separation between them?

Q₁ = 6.0 nC is at (0.30 m, 0); Q₂ = -1.0 nC is at (0, 0.10 m); Q₃ = 5.0 nC is at (0, 0). What is the magnitude and direction of the net force on the 5.0 nC charge?

FIGURE 21-17 -As shown in Fig. 21-17, a point charge of +Q is placed at the centroid of an equilateral triangle. When a second charge of +Q is placed at one of the triangle's vertices, an electrostatic force of 4.0 N acts on it. What is the magnitude of the force that acts on the center charge due to a third charge of +Q placed at one of the other vertices?