Question: (b) Sketch the circuit diagram of the differentiaor cireuit and derive an expression for the output of the circuit at time t = 0.

(b) Sketch the circuit diagram of the differentiaor cireuit and derive an

(b) Sketch the circuit diagram of the differentiaor cireuit and derive an expression for the output of the circuit at time t = 0. Assume the input voltage to the circuit is Vin = 2cos3000nt, R 100k2, and C = 0.02F. (c) A triangular input voltage v (1) with the following characteristics is applied to the differentiator circuit in 4 (b) above: v (1) = 0 at 1 = 0V, v (1) = 4V at t= 2ms, v (1) = 0V at i = 4ms, v (1) = -4V at t 6ms, and v () 0V at / = 8ms. Sketch the [7 marks] %3D %3D %3D input voltage and derive an expression for the input voltage signal. Find the output signal voltage signal from the differentiator and sketch the signal. [7 marks]

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