Engineering Electromagnetics
Engineering Electromagnetics
9th Edition
ISBN: 9781260029963
Author: Hayt
Publisher: MCG
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Chapter 6, Problem 6.6P

A parallel-plane capacitor is made using two circular plates of radius a, with the bottom plate on the xy plane, centered at the origin. The top plate is located at z = d, with its center on the 2 axis. Charge Q is on the top plate; -Q is on the bottom plate. Dielectric having z-dependent permittivity fills the region between plates. The permittivity is given by (z) = đ�œ–0(l + z2/d2 ). Find (a) D; (b) E; (c) V0 : (d) C.

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Module Code: EN2058 Q1. a) List the advantages and disadvantages of a closed loop system compared to an open loop system. b) c) What is the procedure for designing a control system for a bread toaster? An RC circuit is given in Figure Q1. vi(t) and v(t) are the input and output voltages. (i) Derive the transfer function of the circuit. (ii) With a unit step change vi(t) applied to the circuit, derive and sketch the time response of the circuit. R1 R2 v₁(t) R3 C1 vo(t) R₁ =R2 = 10 k R3 = 100 kn C₁ = 100 μF Figure Q1. RC circuit. (iii) Assuming zero initial conditions, obtain the impulse and ramp responses of the circuit from the step response derived in (ii). Sketching is not needed.

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