14. (You have to answer this question) Given a steady distribution of electrical potential V V(x,...
Problem 1: Recall that the general solution for the potential with cylindrical symmetry is given by where each of the a bi cr and dy are constants (to be determined by the boundary conditions), and the sums run from k- I to co, Now, consider an infinitely long cylinder of radius R pointing along the z axis. The cylinder is placed in a uniform electrical field of magnitude Eo pointing in x direction. Find the surface charge induced in the...
(a) A consequence of the Average Potential Theorem is that all extrema of the electric potential occur on the boundary surface S of a volume V. Use this together with Gauss' law to prove that for a charge-free region of space whose boundaries have well defined potentials, the solution to Laplace's equation is unique 2. 5] (b) Apply the uniqueness theorem in part (a) to calculate the surface charge density that is induced on a grounded conducting plate of infinite...
Consider a Sinusoidally Driven LC Electrical Circuit, which Contains an Electric Potential Oscillator, E E, cos(or), an Inductor, L, and a Capacitor, C. Note that an Oscillating Charge,g).Forms on the Capacitor Plates, as well as an Oscillating Current, I(). throughout the Circuit, which is Associated with the Driven Frequency, ω , as Shown. 1. 1(6) gt) E(r) Recall that the Electric Potential Over an Inductor is Given by E , and the dl dr Electric Potential Over a Capacitor is...
answer all parts ELECTRICAL EQUATIONS: Current (A) = Charge (C) / Time (5) | Energy (1) = Potential Difference (V) x Charge C Power (W) = Energy D / Time (s) Conversion Physical Constants: Factors: 1A=1C/s Charge of e- 1.60 x 10°C 1 -1 VC Faraday - 96,485 C/mol 1W= 1 J/s 1. How much energy is required to move 2.53 x 104 Coulombs of charge through a potential difference of 110.0 volts? 2. A steady 2.0 ampere current exists...
Electrical subject i need answer of tgese example ASAP thanks. LL 3. Electrostatics (Total points: 14) Two identical small charged spheres, each having a mass of 0.04 kg, hang in equilibrium as shown in the figure. The length of each string is 0.2 m, and the angle is 15.0°. Find the magnitude of the charge on each sphere. (Hint: draw the free body diagram of one charge) 40 09 a 4. DC circuit Calculate the value of the Iro current...
Only need help with (d) = 0 ( [this point is away from 0] A conducting sphere of radius a is hollow and grounded (V = 0). A particle of charge q is a placed inside at a distance b from the center. We wish to find the potential anywhere inside the sphere. This problem can be solved with the image charge method. The image charge d' should be placed a distance b = from the center, so that the...
Compute the steady-state temperature distribution in an infinitely long cylindri cal wedge of radius a and angle B, whose cross-section is illustrated below. The two straight sides of the wedge are held at zero temperature, while the curved edge is at uniform temperature uo uo Here are a few points to consider in r solution to this problem (a) In polar coordinates, the steady-state temperature satisfies You are required to use the usual approach of separation of variables and to...
QUESTION 3 Assume you have a capacitor with an initial potential difference of 100 V that is discharged through a resistor when a switch between them is closed at t=0. Att= 10.0s, the potential difference across the capacitor is 1.00 V and its time constant RC is 2.17 sec. What is the potential difference V(t) across the capacitor at t= 17.0 s? 0.0396 V 0.0309 V 0.0456 V 0.0412 V QUESTION 4 The capacitance (size) of the capacitor is a...
1. Parallel plates. You have two equal but oppositely charged parallel conducting plates, separated by 10 cm. A voltmeter shows that the potential difference between the plates is 500 V. (a) Which is at a higher potential, the positive or negative plate? (b) How big is the electric field between the plates? (c) You let go of an electron next to the negative plate. How much work does the electric field do in moving the electron to the positive plate?...
Answer number 2 using the given hints. Thanks 1. For the given capacitor, there are conducting plates at z = 0 and 2 = 3d. Between the plates, there are 3 layers of insulators: 2 free space regions and one dielectric with permittivity e. The electric field in Region 1 is E = - a, (V/m), where Ps is the surface charge density on the top plate ( = 30). The surface area of each plate is A. (a) What...