An NMOS transistor gate is controlled by the signal X as in Figure 1.

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An NMOS transistor gate is controlled by the signal X as in Figure 1. Initially X = 0, and the capacitor was discharged to 0 V. When X is switched to logic 1 (VDD), C charges. (a) Derive an expression for the energy dissipated in the NMOS transistor when X is switched to logicShow all your steps clearly. (b) Calculate the above energy in joules, when VDD = 5 V, VmI = 1 V, and C = 100 fF(1 fF = 10−15 F). Figure 1. An NMOS circuit

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An NMOS transistor gate is controlled by the signal $X$ as in Figure 1. Initially $X = 0$ , and the capacitor was discharged to $0 V$ . When $X$ is switched to logic 1 (VDD), $C$ charges. (a) Derive an expression for the energy dissipated in the NMOS transistor when $X$ is switched to logic
Show all your steps clearly. (b) Calculate the above energy in joules, when $V_{D D} = 5 V, V_{m I} = 1 V$ , and $C = 100 f F (1 f F = 10^{- 15} F)$ . Figure 1. An NMOS circuit