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. Calculate current across the capacitor shown in Fig. P8.6 if the voltage input is v1(t)=30 cos (320t-50°) V . v(t) i(t) Figure P8.6 For a current i(t) = C cos(wt+P), enter the value of the phase angle (P). (be sure that your answer is between -180deg to 180deg.) Notes on entering solution: • Enter your solution in degrees Have your current in cosine format . Do not include units in your answer ex. 5° is entered as 5 C = 1 µF

LRC circuit contains a parallel-plate capacitor with plates of area 23.50 m^2, separated by 1.47 mm and completely filled with dielectric (dielectric constant k = 3.32), 20.87 Ohm resistor and toroidal solenoid inductor with 979.50 turns of wire, a cros-sectional area of 2.66 cm^2, and mean radius of 4.42 cm. The components are connected in series to an emf source operating with a 51.46 V amplitude at 109.38 Hz. What is resonance angular frequency (rad/s)?

147c. A circuit has a 3.7 V battery connected in series with a switch. When the switch is closed, the battery powers two paths in parallel, one of which has a resistor of resistance R1 = 80 Ω in series with an inductor of inductance L = 1.4×10−2 H , while the other has a resistor of resistance R2 = 260 Ω . What is the current supplied by the battery at a time t = 0.3 ms after the switch is closed? Express the answer in amperes to three significant figures.