A charged rod of total length 3.7 m lies centered on the x axis as shown (the L indicated in the picture is half of that number, meaning that L = 1.85 m). The rod has a charge density which varies according to λ=ax2 where a=−87.3 μC/m3.  What is the total charge on the rod? What is the x component of the electric field at a point on the x axis a distance of D=8.1 m from the end of the rod? Use a negative sign for a field pointing in the -x direction.

Q: A very long, thin wire fixed along the x axis has a linear charge density of 3.2 µC/m. a) Determine…

A: Given,

Q: Positive charge Q is distributed uniformly along the positive y-axis between y=0 and y=a. A negative…

A: The uniform charge distribution Q is along the positive y axis.

Q: 1 2 3 E A The figure above shows four very thin parallel planes of charge with equal separation…

A:

Q: The figure above shows four very thin parallel planes of charge with equal separation between them.…

A: By Gauss's law, the electric field due to a uniformly charged plane sheet is given by E=σ2ε0 where σ…

Q: In the figure a thin glass rod forms a semicircle of radius r = 3.03 cm. Charge is uniformly…

A: Given, thin glass rod forms a semicircle of radius r=3.03 cm= 3.03*10-2 m In the upper half charge…

Q: A charge, q1 = - 6.40 µC, is located at the origin, pi = (0.00i, 0.00j). A second charge,

A: Given: Charge q1=-6.40μC=-6.40*10-6C.

Q: A charge q = 4.2 µC is located at the origin of the coordinates. What is the electric field E = E,i…

A:

Q: P 2R R. The center of the charged circle of radius R = 10cm in the x-z plane is coincident with the…

A: Given,  R = 10 cm = 0.1 m Distance of point P from the origin = 2R = 0.2 m

Q: A 15 nC charge is located at the origin. What are the electric fields at the positions A = (1 cm, 0…

A: Given: Magnitude of charge, q=15 nC=15×10-9 C Position, A=1 cm, 0 cm               B=-1 cm, 1 cm…

Q: A positive charge of magnitude Q1 = 0.85 nC is located at the origin. A negative charge Q2 = -6.5 nC…

A: Q1 = 0.85 nC  Q2 = -6.5 nC

Q: A triangle has the following charges on its corners: q1=A μC q2=-B μC q3=C μC Each side of the…

A: Given: The first charge is A μC. The second charge is -B μC. The third charge is C μC. The length of…

Q: The circular arc shown below carries a charge per unit length A=Aocos0, where 0 is measured from the…

A: Given a circular arc We have to find the electric field at the center

Q: 122. The circular arc shown below carries a charge per unit length A = A, cos 0, where 0 is measured…

A: The charge density, λ = λ0 cos θ The radius of the circular arc is r

Q: An infinite sheet charge of has a charge density of +25.9 pC/m² and covers the entire x-y plane. A…

A: The electric field due to infinite large sheet will be, E=σ2ε0

Q: In the figure, the point charges are located at the corners of an equilateral triangle 29 cm on a…

A:

Q: A ring-shaped conductor with radius a = 3.00 cm has a total positive charge Q = 0.127 nC uniformly…

A: Given that:a=3 cm=0.03 mQ=0.127 nC=0.127×10-9 Cx=41 cm=0.41 m

Q: Two thin parallel conducting plates are placed 2.0 cm apart. Each plate is 2.0 cm on a side; one…

A:

Q: A charged rod of total length 4.4 m lies centered on the x axis as shown (the L indicated in the…

A: Given data, Total length of the rod is : 2L = 4.4 m Charge density on the rod is : λ=ax2 where,…

Q: The point charges in the figure below are located at the corners of an equilateral triangle 25.0 cm…

A: Given: Electric field due to qb will make 60° with +x-axis Electric field due to qc will make 60°…

Q: Two charged particles Q1=10 mC and Q2-0.01 C are separated by a distance d-1 mm (figure below). What…

A:

Q: niformly charged rod of length L=60 cm and the total charge Q=260 μC and the distance of point P…

A:

Q: Consider the symmetrically arranged charges in the figure, in which ?a=?b=−2.45 μC and ?c=?d=+2.45…

A: Given Data : Qa = Qb = -2. 45 × 10-6 C Qc = Qd = 2.45 × 10-6 C Square side = 6.35 cm = 0.0635m

Q: A charge q = 5.4 µC is located at the origin of the coordinates. What is the electric field E = E,i…

A: Given Charge is given as q=5.4 μC=5.4×10-6 C Coordinate of the point is x=7 m, y=4 m   We have to…

Q: A circular ring of radius 27 cm and total charge 600 μC is centered at the origin as shown in the…

A: The radius of the ring: The charge on the ring:

Q: A charged rod of total length 5.8 m lies centered on the x axis as shown (the L indicated in the…

A:

Q: A uniformly charged rod of length L = 1.2 m lies along the x-axis with its right end at the origin.…

A:

Q: Two charges are located in space as shown O Q₁ = -30 μC 5m A 4 m Q2 = 8 με What is the electric…

A: Given that two charges are located in space. We have to determine (a) The electric field at point A…

Q: 1 2 3 А B C E The figure above shows four very thin parallel planes of charge with equal separation…

A:

Q: In the figure a thin glass rod forms a semicircle of radius r = 4.74 cm. Charge is uniformly…

A: Given: r=4.74cm = 0.0474 mq = 4.39 pC = 4.39*10-12 C

Q: Consider three charges: q1 = -24 µC on x axis at = 3 cm, 92 = 8 µC on y axis at y = 4 cm, and q3 = 9…

A: Recall E=kq/r2 For Ey the y component of field, field due to charges on x-axis will be along X-axis…

Q: A pair of parallel conducting plates are given charges of equal magnitude but opposite sign to…

A:

Q: A +2.3 C charge is placed on the x-axis at ×=+2 m, and a -5.7 C charge is placed on they-axis at y =…

A: The resultant electric field between the +2.3C charge and -5.7C charge is

Q: A positive charge of magnitude Q1 = 0.45 nC is located at the origin. A negative charge Q2 = -6.5 nC…

A: Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for…

Q: In the figure, the point charges are located at the corners of an equilateral triangle 29 cm on a…

A: “Since you have posted a question with multiple sub-parts, we will solve the first three sub-parts…

Q: A very long uniform line of charge has charge per unit length λ1 = 4.52 μC/m and lies along the…

A: The line charge density along x-axis is, λ1=4.52 μC/m=4.52×10-6 C/m. The line charge density…

Electric Charges and Fields

One of the fundamental properties is the electromagnetic property. Charge cannot be destroyed by any process and this contributes formally to the law of charge conservation.