**#4** unit cube 4. Given the potential field V -50xyz+20y (V) in free space, at the...
D5.5. Given the potential field in free space, V 100 sinh 5x sin 5y V, and a point P(0.1, 0.2, 0.3). find at P: (a) V: (b) E: (c) El: (d) Ipsl if it is known that P lies on a conductor surface. Ans. 43.8 V,-474ax 140.8ay V/m; 495 Vm; 4.38 nC/m2
1. The potential of an electrostatic field is given by: Find the electric field intensity at the point P(10,0,0) Find the total charge in a 2-meter radius sphere centered on the origin. a. b.
1. In Free space, the planex 10 [m) carries a surface charge with the density p, - 20, ICIm']. The electric field intensity vector E [v/m] at the origin is: b). 10a, @n e) 10 ai d)-10 a.
HOMERWORK SET1-Electrostatics Due Date Thu, Sept 20th fv-22y2 V in free space, fnd the eergy stored in a lme defined by 1 sI, Hint: Given V(x.y). we can get the eectric field since E-grad(V) A spherical conductor ofradíus α carries a surface charge with density pa-Determine the potential energy in terms of a. 2. 3 IfE-3,5a V/m, calculate the potential energy stored within the vokume defined by o r< 1,0<y<2,0fc3 4. In free space, Vpe sinip) (a) find E (b)...
You are working as an intern for a meteorological laboratory. You are out in the field taking measurements with a device that measures electric fields. You measure the electric field in the air immediately above the Earth's surface to be 147 N/C directed downward. (Assume the radius of the Earth is 6.37 x 106 m.) (a) Determine the surface charge density (in C/m2) on the ground. -1.30e-9 C/m2 (b) Imagine the surface charge density is uniform over the planet. Determine...
Q2(a) A uniform plane wave propagating in a z in free space ( 0)is normally incident at z-0 on a conductor (z>0) for which ?-61.7 MS/m, r 1 The free-space E wave has a frequency s-1.SMHz and an amplitude of 1.0 V/m; at the interface it is given by Develop He,t fo0 (10 marks) (b) In free space, Generate the: Phase constant p (2 marks) (ii) Wavelength (2 marks) (ii) Phase velocity v, (2 marks) (iv) Intrinsic impedance of the...
In free space, the electric field ſ is the unit vector along y-axis. ce, the electric field intensity E = 20 cos (wt-50x) Î V/m. Calculate, (0) (iii) Displacement current density Oa). Magnetic Field intensity (7) Angular frequency (w). Assume Mo = 414 x 10-7 and Ep = 8.854 x 10-12 F/m. (10 marks)
The electric field intensity in free space is given by E=2xyz ax + 3xz ay + 4xy az V/m Calculate the amount of work necessary to move a 4 µC charge from (3, 1, -1) to (4, 3, -1) [distances in meters].
A charged disk and a charged ring are centered at the origin in the free space as shown in figure 4. Bothe changed elements exists in the xy plane. The disk has a radius a and carries a uniform surface charge density of Ps. The ring has a radius 2a and carries a uniform line charge density Pe. Find the following: a) The electric field intensity on z-axis and determine where the electric field is zero b) The electric potential...
Given the electric potential Φ = 10???? (V) in free space. Find ? ⃗ and ρ? at point P(1, ? = 60°, Φ= 30°)