### What is the laplace transformation of a step function which

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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

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