Charge – Q and 2Q are distributed uniformly on surface of two concentric spherical shells of radii ‘R’ and ‘2R’ respectively as shown in the figure. Select correct alternative(s) (A) the total electrostatic energy stored in the system is Q2 / 8πε0 R (B) electrostatic energy in the space between two shells is Q2 / 16πε0 R (C) electrostatic energy stored outside the system is Q2 / πε0 R (D) electrostatic energy in space between two shells is zero

A charge ‘Q’ is given to a conducting sphere of radius R. The total energy stored is Choose answer:

A spherical shell of radius R has a charge+q units. The electric field due to the shell at a pointInside is zero and varies as outside itInside the constant and varies as outside itInside is zero and varies as outside itInside is constant and varies as outside it

Two charges 14 μC and −4 μC are placed at (−12 cm,0,0) and (12 cm,0,0) in an external electric field E=(Br2), where B=1.2×106 N/cm2 and r is in metres. The electrostatic potential energy of the configuration is

A -2.34-nC point charge is located at the center of a conducting spherical shell. The shell has an inner radius of 2.00 m, an outer radius of 4.00 m, and a charge of 8.53-nC. (a) What is the magnitude of the electric field at r = 1.00 m?  N/C (b) What is the magnitude of the electric field at r = 3.00 m?  N/C (c) What is the magnitude of the electric field at r = 5.00 m?  N/C (d) What is the surface charge density, σ, on the outside surface of the shell? (You may enter your calculation using scientific notation.)  C/m2C/m2

a) Derive the expression for the capacitance of a parallel plate capacitor having plate area A and plateseparation d.b) Two charged spherical conductors of radii R1 and R2 when connected by a conducting wire acquire chargesq1and q2 respectively. Find the ratio of their surface charge density in terms of their radii.32. a) Three-point charges, Q1 = +2 μC, Q2 = -3 μC, and Q3 = +4 μC, are placed at the vertices of an equilateraltriangle with sides of length 1 meter. Calculate the net electric field at the center of the triangle.b) A coil is wound around an iron core, and it is connected to a resistor. When the current in the coil ischanged from 2 A to 6 A in 0.2 seconds, an emf of 12 V is induced in the coil. Calculate the self-inductance ofthe coil.33. a) A coil with 200 turns and an area of 0.02 m² is placed in a magnetic field of strength 0.5 T. Calculate themagnetic flux through the coil when it is oriented perpendicular to the magnetic field lines.b) Derive equation of current for R-C circuit