2. A lossy dielectric sphere of radius b+01 m. ErHP and σ-10, Sim is initially charged at t-o Ass...
1. Find the energy stored in a uniformly charged solid sphere of radius R with volume charge density ρ. Do it two different ways: (a) Use the expression for the electrostatic energy in terms of the potential and the charge density, (b) Use the expression for the electrostatic energy in terms of the square of the electric field, 2 Jall space
3) Electrostatic Energy: A sphere of radius A, is charged uniformly with a volume charge density, po. This problem is to be analysed using Gauss's Law. a) State precisely your assumptions regarding the electric field, E, concluded from the symmetries. b) Determine E for r> A |3) Electrostatic Energy: (continued) c) Determine E for 0 <r<A d) Calculate the energy stored in the system. ) Calculate the energy stored in the system
Question 1 (compulsory): The following set of charges is given in free space Charge σ,--40 nC/m Number and type of charge #1 , charged spherical shell of radius Ri-10 cm carrying uniform surface charge density σ #2, charged spherical shell of radius R2-5 cm carrying uniform surface charge density Ơ Location (0, 0, 0) m (position of the centre of the sphere) (0, 0, 0) m (position of the centre of the sphere σ,-160 nC/m2 The positions of the spheres'...
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1. Find the capacitance of a conductive sphere of radius 1.0fm charged with 1.60. 10-19C. 2. Now a conductive sphere of charge -I placed concentric to the sphere of the problem 1. Find the combined capacitance of the two together. 3. Find the capacitance of two spherical capacitors of the type in problem two placed in together in series. 4. Find the time constant for chargingthe configuratonin problem Зі the two capacitors are made of siver and they...
Problem 2 (10 pt.) A homogeneous sphere of mass m and radius b is rolling on an inclined plane with inclination angle ? in the gravitational field g. Follow the steps below to find the velocity V of the center of mass of the sphere as a function of time if the sphere is initially at rest. Bold font represents vectors. There exists a reaction force R at the point of contact between the sphere and the plane. The equations...
Q9) A coaxial cable of length L-10m, has inner and outerradii of a-1 mm and b-3 mm. The region a p<b is a dielectric with Ep-2 and conductivity σ-0.01 S/m. Let V-10 V at ρ-a and V-0 V at ρ-b, find i. Eand Vin the region a <ρ<b. ii. The capacitance per unit length. iii. ρ,atpra. iv. The stored energy per unit length. v. The resistance between the inner and outer conductors. vi. The leakage current (the current between the...