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Q10. Bode plot

For the transfer function given, find the correct Bode plot.

$H_s(s) = \frac{2500s}{(s+5)(s+500)}$ H_s(s) = \frac{2500s}{(s+5)(s+500)}

Q9. Bode plot

For the transfer function given, find the correct Bode plot.

$H_s(s) = \frac{1}{2s + 100}$ H_s(s) = \frac{1}{2s + 100}

Q8. Determine the s-domain transfer function

Consider the following $\omega$ \omega domain transfer function

$H_f(\omega) = \frac{\omega}{8\omega + i(\omega^2 -15)}$ H_f(\omega) = \frac{\omega}{8\omega + i(\omega^2 -15)}

Convert this to the s-domain transfer function H_s(s).

$H_s(s) = \frac{1}{(s-3)(s+5)}$ H_s(s) = \frac{1}{(s-3)(s+5)}

$H_s(s) = \frac{s}{s^2 + 15}$ H_s(s) = \frac{s}{s^2 + 15}

$H_s(s) = \frac{-s^2}{(s+3)(s+5)}$ H_s(s) = \frac{-s^2}{(s+3)(s+5)}

$H_s(s) = \frac{s}{(s+3)(s+5)}$ H_s(s) = \frac{s}{(s+3)(s+5)}

✅

$H_s(s) = \frac{s^2}{(s+3)(s-5)}$ H_s(s) = \frac{s^2}{(s+3)(s-5)}

Q7. Determine the transfer function of the circuit

In the angular frequency domain, $\omega$ \omega, determine the transfer function $H[\omega]$ H[\omega] of the circuit below.

$H[\omega] = \frac{R_1}{(R_1 +R_2) - iCR_1R_2 \omega}$ H[\omega] = \frac{R_1}{(R_1 +R_2) - iCR_1R_2 \omega}

$H[\omega] = \frac{CR_1R_2\omega}{(R_1 +R_2) + iCR_1R_2 \omega}$ H[\omega] = \frac{CR_1R_2\omega}{(R_1 +R_2) + iCR_1R_2 \omega}

$H[\omega] = \frac{R_2R_1}{(R_1 +R_2) - iCR_1R_2 \omega}$ H[\omega] = \frac{R_2R_1}{(R_1 +R_2) - iCR_1R_2 \omega}

$H[\omega] = \frac{R_1}{(R_1 +R_2) + iCR_1R_2 \omega}$ H[\omega] = \frac{R_1}{(R_1 +R_2) + iCR_1R_2 \omega}

$H[\omega] = \frac{R_2}{(R_1 +R_2) + iCR_1R_2 \omega}$ H[\omega] = \frac{R_2}{(R_1 +R_2) + iCR_1R_2 \omega}

Q5. Superposition Theorem

Use the superposition theorem to find I_0 in the circuit below.

5.5 A

-1.5 A

-2.5 A

2.5 A

-5.5 A

Q6. Superposition Theorem

Use the superposition theorem to find the current I_x in the circuit below.

-0.279 A

0.05 A

0.277 A

-0.05 A

0.23 A

Q4. Thevenin's Equivalent Circuit

Find the Thevenin's equivalent circuit for the following circuit. Assume i > 0 and v > 0.

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Q3. Thevenin's Equivalent Circuit

Find the Thevenin's equivalent circuit for the following circuit. Assume that v > 0 .

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Q2. Norton’s Equivalent Circuit

Find I_0 using Norton’s theorem.

-3.444 A

-2.444 A

4.333 A

2.444 A

3.444 A