Find E at the origin if the following charge distributions are present in free : point charge. 12 nC P(2, 0, 6) uniform line charge density 3nC / m at x = - 2 . y = 3 uniform surface charge density. 0.2nC / (m ^ 2) at x = 2
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Find E at the origin if the following charge distributions are present in free : point charge. 12 nC P(2, 0, 6) uniform line charge density 3nC / m at x = - 2 . y = 3 uniform surface charge density. 0.2nC / (m ^ 2) at x = 2
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- Three identical infinite uniform line charges of (5 μC/m) lie along the (positive and negative) x, y and z axes in free space. Find E at: PA(0, 0, 3) due to line charge of x-axes?Calculate the electric field at point P for a thin nonconducting rod of finite length L with a charge q spread uniformly along it.Let k denote 1/47eg. The magnitude of the electric field at a distance r from an isolated pointparticle with charge q is:
- Eight 25-nC point charges in free space are located symmetrically on a circle of radius0.2 m centered at the origin in the z = 0 plane. (a) At what point on the z axis is |E| amaximum? (b) What is |E| max?Early in the 20th century, a leading model of the structure of the atom was that of English physicist J. J. Thomson (the discoverer of the electron). In Thomson’s model, an atom consisted of a sphere of positively charged material in which were embedded negatively charged electrons, like chocolate chips in a ball of cookie dough. Consider such an atom consisting of one electron with mass m and charge -e, which may be regarded as a point charge, and a uniformly charged sphere of charge +e and radius R. By that time time, it was known that excited atoms emit light waves of only certain frequencies. In his model, the frequency of emitted light is the same as the oscillation frequency of the electron (s) problems in the atom. What radius (in millimeter) would a Thomson-model atom need for it to produce red light of frequency 4.57 x 1014 Hz? (Don't express your answer in scientific notation)consider a long line charge distribution with equal uniform charge density (lambda) and opposite sign, let a be the separation distance, derive the electric field (E) at point P
- Calculate the electric field strength using the Kaos law resulting from a conductive sphere of radius R and charged with a uniform charge of magnitude DeltaC / m at a point located 1:- (inside the conductive sphere and a distance from the center (a R)A conducting sphere of 3.0 cm radius has a cavity of 2.0 cm radius and sharing the samecenter. First,– 10 nC of charge is dropped on the sphere. Then a + 8.0 nC point charge isintroduced at the center of the cavity. a) How much charge is at the inside surface of the sphere, after the point charge wasplaced at the center? Justify your answer using Gauss’ Law. b) How much charge is at the outer surface of the sphere, after the point charge wasplaced at the center? Justify your answer. c) Calculate and show the direction of the net electric field at 1.0 cm, and at 4.0 cmfrom the center, after the point charge was placed at the center.Consider a thin-shelled hollow tube of length L, radius R with a uniform surface charge of density ? and with the x axis as its central axis. This can be described by: y2+z2=R2 and 0<= x <= L. What is the elctric field at x0 along the x axis, where x0 > L?
- The figure shows two concentric rings, of radii R and R' = 4.23R, that lie on the same plane. Point P lies on the central z axis, at distance D = 2.25R from the center of the rings. The smaller ring has uniformly distributed charge Q = 6.82 × 10-6 C. What is the uniformly distributed charge on the larger ring if the net electric field at P is zero?A non-conducting spherical shell of inner radius a1 and outer radius b1 is uniformly charged with charged density p1 inside another non-conducting spherical shell of inner radius a2 and outer radius b2 that is also uniformly charged with charge density p2 . See below. Find the electric field at space point P at a distance r from the common center such that (a) rb2 (b) a2rb2 , (c) b1ra2 , (d) a1rb1 , and (e) ra1 .Two non-conducting spheres of radii R1 and R2 are uniformly charged with charge densities p1 and p2 , respectively. They are separated at center-to-center distance a (see below). Find the electric field at point P located at a distance r from the center of sphere 1 and is in the direction from the line joining the two spheres assuming their charge densities are not affected by the presence of the other sphere. (Hint: Work one sphere at a time and use the superposition principle.)
