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ECE2131 - Electrical circuits - S1 2025

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Given the network below, a sinusoidal voltage source running at a frequency of f = 1.592 kHz:

Find the imaginary part of the inductor impedance (in SI units, accurate to three sig. figs.).

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Given the network below, a sinusoidal voltage source running at a frequency of f = 1.592 kHz:

Find the imaginary part of the capacitor impedance (SI units, accurate to three sig. figs.).

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Given the network below, a sinusoidal voltage source running at a frequency of f = 1.592 kHz:

What is the value of the angular frequency of the source (in rad/s, accurate to three sig figs.)

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The circuit below is a series connected RLC circuit. At t=0, the switch moves from position 1 to position 2.

For this circuit, the governing equation for iR is:

What form will the solution for vC take?

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The circuit below is a series connected RLC circuit. At t=0, the switch moves from position 1 to position 2.

For this circuit, the governing equation for iR is:

Is the oscillation that arises from the second-order transient response overdamped, underdamped, or critically damped?

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The circuit below is a series connected RLC circuit. At t=0, the switch moves from position 1 to position 2.

For this circuit, the governing equation for iR is:

Find the circuit quality factor (Q), to at least two sig. figs. (Hint: Look at the formula sheet for standard forms of damped oscillator equations ...)

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The circuit below is a series connected RLC circuit. At t=0, the switch moves from position 1 to position 2.

For this circuit, the KVL based on the current through the resistor (iR), for t>0 is:

vL + vC + vR = 0

Given that the differential equation for the current is given by ...

... find g, in SI units, to at least 2 sig. figs.

(Hint: you can enter 10 to the power of 2 as 1.0e2)

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The circuit below is a series connected RLC circuit. At t=0, the switch moves from position 1 to position 2.

For this circuit, the KVL based on the current through the resistor (iR), for t>0 is:

vL + vC + vR = 0

Given that the differential equation for the current is given by ...

... find f in terms of R, L and C.

Your answer might look like: f = (C.L)/R

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The circuit below is a series connected RLC circuit. At t=0, the switch moves from position 1 to position 2.

For this circuit:

Write the KVL that governs this circuit after for t>0, following the indicated current iR, and using the passive power convention to define component voltages (vR, vL, vC).

Your answer might look like: vR - vL + vC - 1 = 0

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Given the RC circuit below, where the voltage source is providing a square wave with a low level of 0 V and a high level of 1 V as shown on the plot below:

vC(t) for 0<t<T/2 is given by:

vC = K.exp(-0.001t) + 1

If we assume that at t=0, vC(0)=0, what is the value of K (in volts), to better than 2 sig. figures?

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