Three conducting plates are given 3Q, –2Q and Q charge as shown in figure. After distribution of charge find value of q1, q2, q3, q4, q5 and q6.

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

Three identical conducting spheres are mounted on insulating handles.  Sphere 1 has a charge of +5Q,  sphere 2 has a charge of −3Q, and sphere 3 has a charge of +Q.There are 24 excess electrons on the surface of sphere 2.  What is the electric charge on sphere 1? (The magnitude of electron charge is 1.6 × 10-19 C.)A.0.96 × 10‒18 CB.1.28 × 10‒18 CC.4.80 × 10‒18 CD.6.40 × 10‒18 C

The figure above shows four very thin parallel planes of charge with equal separation between them. The charge density on plate 1 is 5 σ. The charge density on plate 2 is -3 σ. The charge density on plate 3 is 2 σ. The charge density on plate 4 is -1 σ. Your answers for the electric field must include the correct sign. We choose positive electric field along the positive x-direction. What is the Electric Field at point D? (in units of σ/ε0)

A parallel plate capacitor of capacitance C with plates at separation d, has charge Q. The electric field at a distance r from positive plate between the plates isChoose answer:

The four point charges shown in the diagram below are situated at the corners of a square. The charges Q1 and Q3 are + 2μC; Q2 is -6 μC, and Q is a positive charge.The resultant force on Q is: