1. What is the inverse transformation (Y-1) of 10/[s(5s + 1)]?
(1) e-t/5
(2) 10(1 - e-t/5)
(3) 5(1 - e-t/10)
(4) None of the above
2. A charged capacitor responds in accordance with the following equation: dv/dt + v/RC = 0
The capacitor has an initial charge og 10V. if R= 5k? and C = 0.22uF, what is the voltage solution in the frequency domain and in the time domain?
(1) V = 10[1/(s + 909.1)], v(t) = 10e-t/1.1ms
(2) V = 5[1/(s + 1000], v(t) = 5e-t/1ms
(3) V = 20[(s+2000)], v(t) = 20(1-e-5t)
(4) none of the above
3. A high pass filter network (series C, parallel R) has a circuit equation of C (dvO/dt - dvi/dt) + vO/R = 0 determine the transfer function of the network in the frequency domain if the initial conditions are zero. (hint: solve for V/V..)o
(1) s+1/RC
(2) 1/(s+1/RC)
(3) s/(s + 1/RC)
(4) none of the above
4. What is the Laplace transformation of a step function which is zero volts for t<0 and 10 volts for t0?
(1) 10/s
(2) 1/s
(3) a/s
(4) none of the above
5. What is the Laplace transformation of 5sin(10t)?
(1) 5/(s+10)
(2) 50/(s2 + 100)
(3) 50?x2
(4) none of the above