How does the current through the inductor relate to the voltage across the inductor when the input to the circuit is a sinusoid? (Consider how the two signals different from each other). How does the current through the capacitor relate to the voltage across the capacitor when the input to the circuit is a sinusoid? (Consider how the two signals different from each other).

the equivalent impedance of a capacitor in parallel with an iductor is equivalent to an open circuit (i.e equal to infinity) at a certain frequency.Drive an expression for this frequency

3. For the circuit, (i) Find the voltage vc and the current ic if the capacitor was initially uncharged and the switch is thrown into position A. (ii) Find the voltage vc and the current ic if the switch is thrown into position B. (iii) Plot the waveforms for the questions (i) and (ii) for both the voltage vc and the current ic. Mark the time constant for part (i) and part (ii) in the waveforms with the corresponding values for current and voltage. A ww ic 20 kΩ B + + 12 V Vc. R, •10 kΩ 0.05 μF

What is a capacitor and how do they work? What is it about capacitors that make them unique? What is the formula for one time constant? How many time constants does it take to fully charge a capacitor? Show illustrations. What other electronic component(s) are commonly found with a capacitor…especially in timing circuits? What types of capacitors are there? What are the formulas for series and parallel capacitors? If three 30 uF capacitors were connected in parallel what would the net capacity be? How about the net value if the capacitors in Q7 were connected in series? If you were to connect a 5K-ohm resistor in series as in Q7… what would the first time constant be? What about time to full charge? Describe the difference between AC (alternating current) and DC (direct current). Use illustrations. Why is voltage generated and distributed in AC? What type of circuit(s) would change AC to DC? How about DC to AC?