1.

There are two concentric spheres of radius (a) and (b) respectively. If the space between them is filled with medium of resistivity rho, then the resistance of the intergap between the two spheres will be

Answer»

Solution :CONSIDER a cocentric spherical shell of radius x and thickness dx, its RESISTANCE is dR,
`dR=(RHO dx)/(4pix^(2))`
Total resistance `R=int_(a)^(b)dR=R=((rho)/(4pi))int_(a)^(b)(dx)/(x^(2))=(rho)/(4pi)[(1)/(a)-(1)/(b)]`


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