Dec-17,200 Solve the following problems: 1. A 0.1- henry inductor, a 4 x 10- farad capacitor, and a generator having EMF giver by 180 cos 40t volts, 12 0 are connected in series, find the instantaneous charge Q and current | if 1 = 0, Q = 0 att = 0. 2. A 10-ohm resistor and a 5-henry inductor are connected to a 50-volt source at time t = 0. Find (a) the current as a function of time, (b) The equation of the voltage across the inductor. 3. An inductance of 1 henry and a resistance of 2.2 are connected in series with an EMF of 100 volts, if the current is initially zero what is the maximum current? 4. An inductance of L henries and resistance of 10 are connected in series with an EMF of 100 volts. If the current is initially zero and equal to 9 ampere after 1 second, find L. 5. Find the constant EMF E if C = farad, R = 20 ohms, q = 0 when t = 0, and q = 2 coulomb when t = 1 sec. 6. A 20-ohm resistor is connected in series with a capacitor of 0.01 farad and an EMF in volts given by 40 et+ 20et, if Q = 0 at t = 0, what is the maximum charge in the capacitor? 7. An inductor of 0.5 henries is connected in series with a resistor of 5 ohms, and a capacitor of 0.08 farads. At t = 0, the current is 10 amp and the charge on the capacitor is zero. Show that the charge builds up to a maximum in 0.2 second and determine the value of the maximum. 8. The circuit has R ohms, C farads and E volts in series with a switch, the quantities R,C,E being constant. The initial charge on the capacitor is zero. If the switch is closed until the charge is 99% of its theoretical maximum and E is then suddenly reduced to zero, find Q thereafter. 9. A 20-ohm resistor is connected in series with a capacitor are in series in an electric circuit in which there is a current flow of 20 amp. at t = 0. Find the current for 0 if the emf is zero for and > 0. 10. A 20-ohm resistor is connected in series with a capacitor of 0.01 farad and an emf volts given by 40eet + 3t. If 0 = 0 t = 0, show that the maximum charge on the capacitor is a 0.25 coulomb.