2.5. Four equal point charges of 3.0 μC are held in place at the four corners of a square that is 4.0 mm on a side. These are the only charges in the region. (a) Explain clearly why the electric field at the center of the square will be zero if two of the charges, diagonally opposite each other, are positive, and the other two are negative. (b) Find the magnitude and direction of the electric field at the center if two charges on one side of the square are positive and the other two are negative. You will need to make sure to describe the arrangement of the charges in your coordinate system in order to correctly convey the direction of the field.

2.5. Four equal point charges of 3.0 μC are held in place at the four corners of a square that is 4.0 mm on a side. These are the only charges in the region. (a) Explain clearly why the electric field at the center of the square will be zero if two of the charges, diagonally opposite each other, are positive, and the other two are negative. (b) Find the magnitude and direction of the electric field at the center if two charges on one side of the square are positive and the other two are negative. You will need to make sure to describe the arrangement of the charges in your coordinate system in order to correctly convey the direction of the field.

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

See similar textbooks

Similar questions

A test charge of + 4 µC is at a field-point P where the electric field E due to other charges is directed to the right and has a magnitude |E| = 4 x 106 N/C. If the test charge is replaced with a charge of - 4 µC, the electric field at P gets modified to E' as : O E' = E O E = (3/4) E O E' = (4/3) E E' = - E
Three 8.0 μC charges are at the three corners of an square of side 0.40 m. The last corner is occupied by a -8.0 μC charge. Find the electric field (in N/C) at the center of the square.
1 nC, and 1 nC, are located along the x-axis with the positions q,(x, y) = (0, 0) and q2(x, y) = (2 m, 0 m). Calculate the magnitude of the electric field at the point P, with coordinates, P(x, y) = (1 m, 1m). Express the net electric field at P in vector 14) A pair of point charges with equal and opposite magnitude, q1 %3D q2 form.
Three point charges are located on a circular arc as shown in the figure below. (Let r = 4.16 cm. Assume that the +x-axis is to the right and the +y-axis is up along the page.) +3.00 nC -2.00 nC 30.0° P 30.0° +3.00 nC (a) What is the total electric field at P, the center of the arc? magnitude 16622 v N/C direction to the right (b) Find the electric force that would be exerted on a -5.21 nC point charge placed at P. magnitude x N downwards x 3.9*10**-5 direction
Point charges of 20.2 µC and 44.7 µC are placed 0.48 m apart. At what point along the line between them is the electric field zero? What is the magnitude and direction of electric field halfway between them? There is no direction because the magnitude of the electric field is zero toward the 20.2 µC charge toward the 44.7 µC charge
What is the electric field at point P due to the two charges shown? +3.1 x 10-6 C -2.2 x 10-6 C (+ + 1.8 m 0.50 m 07.4x104[right] 07.4x10¹ [left] с ● P 2.7x10¹ [right] N с ○2.7x10¹ [left] N
Two charges q1 = +4.76 µC and q2 = +9.99 µC are separated by a distance of 13.86 cm. Point P is located along the line segment joining the two charges. How far is P (in cm) from q1, if the magnitude of the electric field at P due to the two charges is equal to zero? Express your answers accurate to two decimal places.
Four point charges are held fixed in space on the corners of a rectangle with a length of 20 [cm] (in the horizontal direction) and a width of 10 [cm] (in the vertical direction). Starting with the top left corner and going clockwise, the charges are q1=+10 [nC] , q2=−10[nC] , q3=−5[nC] , and q4=+8[nC] .a) Find the magnitude and direction of the electric force on charge q4b) Find the magnitude and direction of the electric field at the midpoint between q3and q4c) Find the magnitude and direction of the electric field at the center of the rectangle.
Two point charges are placed on the x-axis, +5.00 μC at the origin and -10.0 μC at x = 10.0 cm. (a) Find the electric field (magnitude and direction) on the x-axis at x = 6.00 cm.(b) : Draw a diagram and label the electric field vectors, including the net field vector, at point x = 6.00 cm. (Do not submit anything for part (b) on MasteringPhysics.)(c) Find the potential at x = 6.00 cm. k = 9.0 × 109 N ∙ m2/C2
Two point charges are situated in a cartesian coordinate system as follow: Q1 = 7.2 x 10^-6 C @ the coordinates (-0.43, 0.62) m Q2 = -4.7 x 10^-6 C @ the coordinates (0.78, 0.43) m What is the direction of the net electric field at the origin (0,0)? Answer this as an angle measured in degrees relative to the +x direction. Let answers in the first 3 quadrants be positive and negative in the 4th quadrant.
Two charges are located on the x axis: q1 +8.5 μC at x₁ +5.6 cm, and 42 +8.5 µC at x₂ = -5.6 cm. Two other charges are located on the yaxis: 93 +2.3 μC at ys +4.6 cm, and q4-7.7 µC at ya +6.5 cm. Find (a) the magnitude and (b) the direction of the net electric field at the origin. (a) Number (b) The net electric field points Units
The cockroach Periplaneta americana can detect a static electric field of magnitude 6.00 kN/C using their long antennae. If the excess static charge on a cockroach is modeled as point charges located at the end of each antenna, what magnitude of charge q would each antenna possess in order for each antennae to experience a force of magnitude 5.50 µN from the external electric field? Calculate q in units of nanocoulombs (nC). q= nC