since the light is emitted from shere having radius R1 hence this radius remains as it is
the velocity of light i vaccum=c -m/s
but in any medium having refractive index n,the velocity is =c/n -m/s
that is velocity get decrease by 1/n times of vaccum
time taken to cover R2 distance, t=R2/(c/n) seconds
observing from far away the equivalent distance for the observer should be = R1+t*C=R1+nR2
hence equivalent distance =R1+nR2
A luminous sphere of radius R1 (such as Sun) is surrounded a uniform atmosphere of with...
A glass sphere has radius R = 6.4 cm and index of refraction 1.6. A paperweight is constructed by slicing through the sphere along a plane that is 2.0 cm from the center of the sphere, leaving height h = 4.4 cm. The paperweight is placed on a table and viewed from directly above by an observer who is distance d = 9.3 cm from the tabletop (the figure below). When viewed through the paperweight, how far away does the...
3. A solid spherical insulator with radius Ry is surrounded by a conducting spherical shell with inner radius R2 and outer radius R3 and with the same center point as the central sphere. The central sphere has charge density p yr3, where r is the distance from the common center of the sphere and shell. The conducting shell has charge Q. Find the magnitude of the electric field as a function of r in the following regions: R2 (a)r s...
A nonconducting sphere of radius r2 contains a
concentric spherical cavity of radius r1. The material
between r1 and r2 carries a uniform charge
density ρE(C/m3).a) Determine the electric potential V, relative to V=0 at r=∞,
as a function of the distance r from the center for
r>r2. Express your answer in terms of some or all of
the variables r1, r2, r, ρE, and
appropriate constants.b) Determine the electric potential V, relative to V=0 at r=∞,
as a function...
A thin cylindrical shell of radius R1=6.0cm is surrounded by a second cylindrical shell of radius R2=8.1cm, as in the figure (Figure 1). Both cylinders are 9.0 m long and the inner one carries a total charge Q1=−0.73μC and the outer one Q2=+1.60μC. Part B For points far from the ends of the cylinders, determine the magnitude of the electric field at a radial distance rr from the central axis of 6.9 cmcm . Part D For points far from...
A
coaxial cable consists of a solid inner conductor with radius R1,
surrounded by a concentric cylindrical tube with inner radius R2
and outer radius R3. The conductors carry equal and opposite
currents I distributed evenly across their cross sections.
Determine the magnetic field at a distance R from the axis to:
a)R<R1
b)R1<R<R2
c)R2<R<R3
d)R>R3
e)I=1.20A, R1=1.00cm, R2=2.00cm y R3=2.50cm
Graphic B, R=0 to R=3.00cm
| = _
A thin cylindrical shell of radius R1=6.2cm is surrounded by a second cylindrical shell of radius R2=9.3cm. Both cylinders are 5.0 m long and the inner one carries a total charge Q1=−0.77μC and the outer one Q2=+1.54μC. A) For points far from the ends of the cylinders, determine the electric field at a radial distance r from the central axis of 4.1 cm . B) For points far from the ends of the cylinders, determine the magnitude of the electric...
A coaxial cable consists of a fixed inner conductor with radius
R1, which is surrounded by a concentric cylindrical tube with inner
radius R2 and outer radius R3 (Figure 1). The conductors carry
oppositely directed currents I0 of equal size, which are
homogeneously distributed over their cross sections. Determine the
magnetic field at a distance r from the axis for a) <R1, b) R1
<r <R2, c) R2 <r <R3 and d) R3 <r.
(Show the appropriate ampere loop for...
A sphere of radius R1=0.345 m and uniform charge density 37.5 μC/m3 lies at the center of a neutral, spherical, conducting shell of inner and outer radii R2=0.563 m and R3=0.685 m, respectively. Find the surface charge density on the inner and outer surfaces of the shell.
A solid non-conducting sphere of radius R carries a uniform charge density throughout its volume. At a radial distance r1 = R/2 from the center, the electric field has a magnitude E0. What is the magnitude of the electric field at a radial distance r2 = 3R?
A solid sphere of nonconducting material has a uniform positive charge density ρ (i.e. positive charge is spread evenly throughout the volume of the sphere; ρ=Q/Volume). A spherical region in the center of the solid sphere is hollowed out and a smaller hollow sphere with a total positive charge Q (located on its surface) is inserted. The radius of the small hollow sphere R1, the inner radius of the solid sphere is R2, and the outer radius of the solid...