Question 6  Given a formula for i(t)=10sin(200pit+pi/8) across a capacitor (C=5microfarads). Find the expression of the voltage v(t) across the capcitor. Where Im confused is after integrating the Current and dividing it by C=5microfarads do we need to add +K at the end of the expression? Full explainthe  this question very fast solution sent me step by step  Don't ignore any part all part work u   Text typing work only not allow paper work

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?

6. For a resistor, what resistance corresponds to a short circuit? For an uncharged capacitor, what value capacitance corresponds to a short circuit? Explain your answers. a. Repeat for an open circuit.

An initially uncharged parallel plate capacitor is connected to a circuit containing a battery with emf -35V and a resistor, R = 3.3M2 as shown in the figure to below. The capacitor whose plates have an area of A= 5.2mm² are separated by a distance of d=3.2mm and one third of the capacitor is filled with a dielectric material, *₁ = 2.5 and the rest (two thirds) is filled with another dielectric material, K₂ = 6.3. At t=0 the switch is closed. 3.6 seconds after the switch is closed the electric field within the first dielectric material (₁) is observed to be 9 x 10³ N/C. Find the potential difference across the capacitor at this instant (t = 3.6s) in terms of permitivity of free space ? Express your answer using zero decimal place. R

An initially uncharged parallel plate capacitor is connected to a circuit containing a battery with emf -15V and a resistor, R = 8.5MN as shown in the figure to below. The capacitor whose plates have an area of A = 3.1mm² are separated by a distance of d = 3.4mm and one third of the capacitor is filled with a dielectric material, K₁= 1.1 and the rest (two thirds) is filled with another dielectric material, K₂=4.5. At t=0 the switch is closed. 7.1 seconds after the switch is closed the electric field within the first dielectric material (₁) is observed to be 15 x 10³ N/C. Find the potential difference across the capacitor at this instant (t = 7.1 s) in terms of permitivity of free space €0? Express your answer using zero decimal place. R S K₁ K₂