(Solved): At a given frequency \( \omega \), the circuits in the figuras (a) and (b) have the same impedance ...

At a given frequency \( \omega \), the circuits in the figuras (a) and (b) have the same impedance between the terminals a,b (Figure 1) Find \( R_{1} \) Express your answer in terms of the variables \( \omega, L_{2} \) and \( R_{2} \). Part B Find \( L_{1} \) Express your answor in terms of the variables \( \omega_{1} L_{2} \) and \( R_{2} \). Part C Find the value of resistance that when connected in series wil have the same impedance at \( 4.4 \) resistor connected in parallel with a \( 1.4 \mathrm{H} \) inductor Express your answer to four significant figures and include the oppropriate units. At a given frequency \( \omega \), the ciroits in the figures \( (a) \) and (b) hawe tha same irpedance between the terminals a,b. (Fiqueo 1 Part \( C \) Find the value of resistanoe that when connected in series wil have the same impedance at \( 4.4 \mathrm{krad} / \mathrm{s} \) bs that of a \( 5.9 \mathrm{kr} \) resistor cornected in parallet with a 1.4 Hinducter. Expenss your answer to four signilicant figures and include the appropriate units. Part D Find the value of inductance that when connecsed in series wal have the same mptdance at \( 44 \mathrm{krad} / \mathrm{s} \) at that of a \( 5.9 \mathrm{kn} \) resiefot connected in parallat with a \( 14 \mathrm{H} \) inducter Fxpiess yout answer with the apprcprise units.