Question

need help with C and D please

The differentiator circuit shown in Figure 1 uses an op-amp with ideal characteristics. R2 R1 C1 Vi O Figure 1 (c) Sketch the Bode magnitude response for this circuit for the frequency range of 10° to 108 Hz. (7 marks) (d) Sketch the output waveform of the differentiator and justify your answer, if v is as shown in Figure 2 with a period of: () 100 ms (ii) 10 us (6 marks) 0.11 0.06V 0.01v T t(s) 2T Figure 2 Problem The differentiator circuit shown in Figure 1 uses an op-amp with ideal characteristics. R2 R, C1 Vi Figure 1 (a) Prove that the gain of the circuit is given by the following expression using first principles for (2 marks) an ideal op-amp: Gain V1 +jCR1) (b) If the differentiator frequency (at unity gain) is 100Hz and the high frequency gain is 40dB, (6 marks) and R2 is 220kQ, design the rest of the component values Page 1 of 3

Answer 1

lution Giyen, ,Vo (a) Gein: know, Vo= -21 un

ndg un to4B qena 90 二40 Rfc 2.

Rici 2-7似 f,8o.935 ox21 47-525 10