1. Determine the transfer function of the circuit of Fig. E-1. Assume that i(t) is the excitation and v(t) is the response resulting from Document Preview: E-1. A,ssumecircuit oi Fig. of the...

E-1. A,ssume circuit oi Fig. of the transferfunction the L Determine i(l). resulting from v(l) the response and is (r) excitation that i is the _f : (4) G(s) sl (l) G(s): = ^,'' sL 7R + L = (5) G(s) (2) c(s) 7R sL :R + to find 81, (Iiint: Use transforms = (3) G(s) , =tL ':- .t( S I see ex. 7-2) | rrg. tr- of the circuit v'(l) is the input and output i2(r)is the that 2. Considering '7-2 (Hint: ex. 7-2) Topic resPonse. impulse the Fig. E-2, determine oi -" g(i): e sin r (l) I ' /+\ tr2.\r/ en (i) v, -a tr-1, rlG.248r Fig. E-3 - (2) g(t) e-2' (srn 2t cos t/ + \/21) * + (3) g(r) 4@-t' e-'lo) + (4) g(r) tr-'cos 2l i - g(r) 4t)e-a' (5) i6(1 resDonse is the of the impuise response. 3. The step (1) Derivative lntegral Q) (3) transforrn Laplace " (4) transfiorm lnverse Laplace (5) Reciprocal pole-zero plot impedance function has the 4. A certain driving-point function could be produced by a network con- given in Fig. E-3. This taining only (l) and capacitance. inductance (2) and resistance. inductance (3) capacitance and resistance. (4) resistance. ( inductance. 5) Deterrninethe rransfer funcrion of the circuir o{_Flg. The input E-4. ' v,(l) (Hint: is andthe output is vr(t). Topic i|t);t : l) G(s) I 2 x 103;(s + * 3 x t0r)(s + 4 x l0') lg : 2) G(s) 2l3s (4) G(s): sll2 : : 3) G(s) 3.s (5) G(s) | /8 6. The response oi'a certain network to a unit step input is e-'cosl + lsinl Y(t):248s + (t) v^ rrq. E-4 Determine ihe response of this network to a unit impuise input. : (l) €-t cos/ I sin + r + 6(r) Topic 7-3. Eq. .v-(t) 7-25) Glinr; : (2) €-tl cos / + t2 s-in I -r'(l) - (3) = - (l e-t) (/ sinl + e-,)cosl ,v(r) +.d(l) - : - (4).v(t) (l t2 + e-')(sinl cosl) -e-'+ (5) : sinl+t2+cosr -r'(l) 7. The critical frequencies oi'a transfer function are comprised ol all the of the i'unction. (l) (4) Imaginarypoles Zeros (l) Real zeros (5) Poles and zeros (3) Poles 8. The transfer function...