Determine the Laplace transformation of the time domain function 50e-4t
(1) s+4
(2) 50/(4s + 1)2
(3) 50/(4s+1)
(4) 50/(s+4)
3. Find the inverse Laplace transformation (2-1) of 50/ (5s+1)2
(1) 2te-t/5
(2) 0.5te-t/5
(3) 50e-5t
(4) 2te-5t
4. What is the Laplace transformation of the voltage derivative dv/dt if the initial voltage is 25 volts?
(1) s-25
(2) s
V
(3) sV
– 25
(4) None of the above
5. What is the Laplace transformation of the integral of v(t), v(t) dt ?
(1) V/s2
(2) s (3) sV
(4) V/s
6. 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
7. 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= 5kΩ 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
8. 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
9. 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
10. What is the Laplace transformation of 5sin(10t)?
(1) 5/(s+10)
(2) 50/(s2 + 100)
(3) 50?x2
(4) none of the above
