A charge QA = −20μC is located at A(−6, 4, 7), and a charge QB = 50μC is at B(5, 8,−2) in free space. If distances are given in meters, find: (a) RAB; (b) RAB. Determine the vector force exerted on QA by QB if 0 = (c) 10−9/(36π) F/m; (d) 8.854 × 10−12 F/m. Ans. 11ax + 4ay − 9az m; 14.76 m; 30.76ax + 11.184ay − 25.16az mN; 30.72ax + 11.169ay − 25.13az mN

Q: Consider that 235V, 50HZ supply is connected as an input

A: “Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: A point load of Q1 = 1 Coulomb is placed at the point (-1,0,0) on the circle with a radius of 1 unit…

A: First we need to calculate value of charge particle Q3 , then we will find out potential at origin…

Q: If F - 30 lb and F,– 40 lb, determine the angles ana o so that the resultant force is directed along…

A:

Q: The core of a toroid is 12 cm and is made of material with μr 200. If the mean radius of the toroid…

A: Step 1

Q: At #1, Find its Vector and Scalar electric field at P(2,3,-5) of the 2µC charge

A:

Q: An infinitely long and thin wire carrying 10 A current is places on the Z-axis away from a…

A:

Q: Three long parallel wires carry currents of magnitude I, I, and 21. One wire carries current into…

A: At point P, the magnetic fields generated by the three wires can be determined using the right-hand…

Q: Example//Two concentric spheres of radii a and b (a<b). Find the capacitance of these spheres.

A: The capacitance is defined as total charge per unit the potential difference. The capacitor is used…

Q: Q6: Find the capacitance of two concentric spheres of inner radius a and outer radius b.

A: Given that 2 concentric spheres of inner radius a and outer radius b and we have to find the…

Q: etermine the magnitude of the electric field at point (3.4,0) cm in rectangular coordinate system if…

A:

Q: Given the electric field ER (11/R²) (V/m) Find the electric potential of point A with respect to…

A: Electric field  E=R`(11/R2) (v/m) We need to find potential point A with respect to B , where A is…

Q: The diplacement current density is given by the following equation: Jd = 717 sin( 2.1 x10³t - 3.9 y)…

A:

Q: Q4:-A rotating shaft carries four masses 176.6 N, 137.3 N, 157 N and 117 N at radii 5 cm, 6 cm, 7 cm…

A:

Q: If V(x, y, z)= 3x²ye^2 is the scalar electric potential given as V, what is the magnitude of the…

A:

Q: 4. A 150-V battery is connected across two parallel metal plates of area 28.5 cm? and separation…

A: Given data,

Q: A proton enters a region with a velocity of v=1.59×10° m/s where vthere are both electric and…

A: The proton is moving in a straight line, thus the net force on the proton will be zero. This means…

Q: The drawing shows an edge-on view of two planar surfaces that intersect and are mutually…

A:

Q: (a) An infinite filament on the z-axis carries 20n mA in the a, direction. Three uniform cylindrical…

A: We will find out the magnetic field at given point due to the given current distribution

Q: 7, and q,, are located on the x-axis, with q, at the origin and q, initially at x, = 14.0 mm. In…

A: We need to find out force between charge particle

Q: 3.11 In cylindrical coordinates, let p 0 for p 1.5 mm. Find D everywhere. Pu %3D

A:

Q: Q3: Suppose that over a certain region of space the electrical potential V is given by V(zy2) = 5x -…

A:

Q: A student makes an electromagnet by winding 620 turns of wire around a wooden cylinder of diameter,…

A: According to the question we have to find the value of Z.

Q: The magnetic vector potential A=x10 cos(3x10't+10z)+ŷ7.5 cos(3x10't+10z) Wb/m in free space. Find…

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

Q: A cube has sides of length L = 10.0 cm. The electric field is uniform, has magnitude E = 4.00 x 103…

A: Given L=10 cmE=4×103 N/C

Q: A 2 kg particle moves along the x axis under the influence of a stationary object. The potential…

A:

Q: A point load of Q1 = 1 Coulomb is placed at the point (-1,0,0) on the circle with a radius of 1 unit…

A: Since the point charges Q1 and Q2 are both positive in polarity, to reset the electric field at…

Q: Suppose that a parallel-plate capacitor has circular plates with radius R = 30 mm and a plate…

A: Assuming, the circular plate has rdius, R=30mm and separation between the plated, d=3.9 mm.A…

Q: The expression of a potential field is given as follows: V=2x²+4y³z Determine the magnitude of the…

A: We electric field is negative gradient of potential, from this relation we will find out electric…

Q: An infinite filament on the z axis carries 20 mA in the a, direction. Three uniform cylindrical…

A: Solution:Given data:(1)uniform cylindrical current =400mA/m , ρ=1(2)-250mA/m , ρ=2(3)-300mA/m ,…

Q: Two-point charges contribute to the electric field in a region in vacuum. One is -10 nanocoulombs at…

A:

Q: Determine the x- and y-components of the electric field vector at the origin due to the following…

A:

Q: In a rectangular coordinate system, consider the charges 91 = -4µC at (4, 2 ) cm 92 = 6µCat(4, -1)…

A:

Q: The Electric Potential is given throughout space by: V(s,Theta) = bs/R *cos (Theta) ,sR %3D b =…

A: The Answer is

Q: Three positive  charges  (7.2nC) are located at the corners of an equilateral  triangle  of  sides…

A: Given Three positive charges are, q1=7.2 nCq2=7.2 nCq3=7.2 nC The side of the equilateral triangle…

Q: What is the scalar electric field strength 15 mm away perpendicularly from the center of a disk…

A:

Spherical Coordinate System

The spherical coordinate system is a three-dimensional coordinate system for space where the position of a point is specified by three numbers- the radial distance of that point from a fixed source, its polar angle measured from a certain zenith, and the azimuth angle. Its orthogonal projection on the reference plane passes through the source and is measured from the direction of constant reference on that plane which is orthogonal to the highest level. It can be viewed as a three-dimensional version of the polar coordinate system.