Chapter 14, Problem 14.22P

Q: Draw the fabrication layers of a transistor with MS junction (Schottky junction).

+ C/E, 4 TA b IA + 2V C/E 2 +1 - C + V3 - C/EU - ча - V4 + e + /E3 V2 12V a (a) Find currents L, L2 and is (b) Find Voltages V, V2, V3 and V4 - 2A CIEG For each circuit element and the two sources state whether they are ABSORBING SUPPLYING pores and how much poner 13 absorbed or supplied. +

Please solve part a, b and c Also, find the impulse response g(t) for the system

Consider the lateral dynamics of a vectored thrust aircraft as described in Example 3.12. Show that the dynamics can be described using the following block diagram: Ꮎ r ալ -mg Σ J82 ע 1 X ms² + cs Use this block diagram to compute the transfer functions from u₁ to 0 and x and show that they satisfy Нои r Js² - mgr Js²' Hau₁ Js2 (ms2+cs)

Consider the system dx ax+u. dt Compute the exponential response of the system and use this to derive the transfer function from u to x. Show that when s = a, a pole of the transfer function, the response to the exponential input u(t) = est is x(t) = eat x(0) + teat. For solving the system with u = eat eat you can't use the transfer function because the denominator is zero. Try using the convolution integral solution with initial conditions set as x(t) = eat x (0) + fo g(t − T)u(T)dT - g(t) is the impulse response of the system.

dny dn-1y dn-1u dn-24 +a1 + + Any = bi +b₂- + +bnu. dtn dtn-1 dtn-1 dtn-2 a) Let be a root of the characteristic equation 1 sn+a1sn- + +an = : 0. Show that if u(t) = 0, the differential equation has the solution y(t) = e\t. b) Let к be a zero of the polynomial b(s) = b₁s-1+b2sn−2+ Show that if the input is u(t) equation that is identically zero. = .. +bn. ekt, then there is a solution to the differential

dny dn-1y dn-1u dn-24 +a1 + + Any = bi +b₂- + +bnu. dtn dtn-1 dtn-1 dtn-2 a) Let be a root of the characteristic equation 1 sn+a1sn- + +an = : 0. Show that if u(t) = 0, the differential equation has the solution y(t) = e\t. b) Let к be a zero of the polynomial b(s) = b₁s-1+b2sn−2+ Show that if the input is u(t) equation that is identically zero. = .. +bn. ekt, then there is a solution to the differential

For step a), use equations (2) to find the equation for the input impedance equations (2) are V1 = jwL1I1 + jwMI2 and V2 = jwMI1 + jwL2I2 equation for the input impedance: Z1 = V1/I1 = jwL1 + (wM)2/(jwL2 + ZL)

L (a) Find currents i, and b₂ 2 2 (b) Find the dependent source voltage given as Find voltages V, and (c) V₂ 5i2 (d) For each circuit element in the circuit and the two Sources, state whether they are ABSORBING OF SUPPYING Power and how much power is absorbed or Supplied. + V - 5A +lov- C/E₂ + C/E4 Vz い 5+2 + 1A C/E 5V + シュ 2A + 10V