Final answer:
The question involves calculating the equivalent series resistance and inductance values for a given parallel R-L circuit at 4 GHz frequency.
Step-by-step explanation:
The question pertains to the conversion of a parallel combination of a resistor (R) and an inductor (L) to its series equivalent at a high frequency of 4 GHz. The process involves using the impedance of both the resistor and the inductor at the specified frequency to find the values of the series components that would exhibit the same impedance characteristics as the original parallel (shunt) circuit.
To convert a parallel R-L network to its series equivalent, we determine the impedance of the shunt network at the given frequency and then calculate the series values that would yield the same impedance. The provided values are R of 2 kΩ and L of 10 nH at a frequency of 4 GHz. First, we calculate the inductive reactance (XL) and then use the formula for parallel impedance to find the total impedance (Zparallel) of the R-L network. After finding Zparallel, the equivalent series resistance (Rseries) and inductance (Lseries) can be deduced.