Consider the PLL shown below. Assume that the relationship between con

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Consider the PLL shown below. Assume that the relationship between control voltage and output frequency of the VCO is 10 MHz per volt and the op-amp is ideal (a) Find the loop transfer function L(s). (b) Assume VDD = 5 V, R1 = 100 Ω and R2 = 0. What value of C gives a loop crossover frequency of 100 kHz ? What is the phase margin? (c) With the value of C from part (b), find the value of R2 that will provide a phase margin of 45∘ while preserving the crossover frequency.

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Consider the PLL shown below. Assume that the relationship between control voltage and output frequency of the $V C O$ is $10 M H z$ per volt and the op-amp is ideal (a) Find the loop transfer function $L (s)$ . (b) Assume $V_{D D} = 5 V, R_{1} = 100 Ω$ and $R_{2} = 0$ . What value of $C$ gives a loopcrossover frequency of $100 k H z$ ? What is the phase margin? (c) With the value of $C$ from part (b), find the value of $R_{2}$ that will providea phase margin of $45^{\circ}$ while preserving the crossover frequency.