A single loop consists of inductors (L1 = 3.3 mH, L2 = 6.1 mH), capacitors (C1 = 5.2 μF, C2 = 5.2 μF), and resistors (R1 = 2.5 Ω, R2 = 4.7 Ω) connected in series as shown in Figure (a). Find the values (a) L, (b) C and (c) R for the equivalent circuit shown in Figure (b) with the same frequency of oscillations. (Hint: Consider the loop rule.)

Along wire of diameter 1 mm is submerged in an oil bath of temperature ∞ 31°c. the wire has an electrical resistance per unit length of 0.01 ω/m. if a current of 103 a flows through the wire and the convection coefficient is 500 w/m2·k, what is the steady-state temperature of the wire? from the time the current is applied, how long does it take for the wire to reach a temperature that is within 1°c of the steady-state value? the properties of the wire are 8000 kg/m3, 500 j/kg·k, and 20 w/m·k.