There are two conducting spheres of radius a and b (b> a) carrying equal and opposite charges. They are placed at a separation d (>>> a and b). The capacitance of system is 4TEO 4TEO 41&O (B) 41ɛo 1 1 a-b-d (C) 1 6 a 1 b 1 d 1 2 a'b d - -

There are two conducting spheres of radius a and b (b gt a) carrying equal and opposite charges. They are placed at a separation d ( gt gt gt a and b). The capacitance of system is

There are two conducting spheres of radius a and b (b gt a) carrying equal and opposite charges. They are placed at a separation d ( gt gt gt a and b). The capacitance of system is

Two conducting sphere of radii a and b are placed at separation d. It is given that d gt gt a and d gt gt b so that charge distribution on both the sphere remains spherically symmetric. Assume that a charge + q is given to the sphere of radius a and -q is given to the sphere of radius b. (i) Write the electrostatic energy (U) of the system and calculate the capacitance of the system using the expression of U. (ii) Prove that the capacitance of the system is given by (1)/(C)=((1)/(4 pi in_(0)a)+(1)/(4 pi in_(0)b))"if" d rarr infty

a. Two spheres have radii a and b and their centres are at a distance d apart. Show that the capacitance of this system is C=(4piepsilon_0)/(1/a+1/b+-2/d) provided that d is large compared with a and b . b. Show that as d approaches infinity the above result reduces to that of two islotated spheres inseries.

a. Two spheres have radii a and b and their centres are at a distance d apart. Show that the capacitance of this system is C=(4piepsilon_0)/(1/a+1/b+-2/d) provided that d is large compared with a and b . b. Show that as d approaches infinity the above result reduces to that of two islotated spheres inseries.

if A and B are squares matrices such that A^(2006)=O and AB=A+B, then det (B) equals 0 b.1 c.-1 d.none of these

A B C and B D E are two equilateral triangles such that D is the mid-point of B C . The ratio of the areas of the triangles A B C and B D E is 2:1 (b) 1:2 (c) 4:1 (d) 1:4

If A and B are two matrices such that AB=A and BA=B, then B^(2) is equal to (a) B( b) A(c)1(d)0

If a, b, c and d are four positive numbers such that a+b+c+d=4 , then what is the maximum value of (a+1)(b+1)(c+1)(d+1) ?

If A-B=pi/4, then (1+tan A)(1-tan B) is equal to 2 b.1 c.0 d.3