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...
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 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 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 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 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...
A hollow, uniformly charged sphere has an inner radius of r1=0.085 m and an outer radius of r2 = 0.34 m. The sphere has a net charge of Q = 2.7μC. What is the magnitude of the electric field, in newtons per coulomb, at a distance of r = 0.17 m from the center of the sphere?
A hollow, uniformly charged sphere has an inner radius of r1 = 0.12 m and an outer radius of r2 = 0.27 m. The sphere has a net charge of Q = 2.8 μC. What is the magnitude of the electric field, in newtons per coulomb, at a distance of r = 0.23 m from the center of the sphere?