2 An RC circuit, shown below, has in input voltage u(t) and output voltage v(t). The circuit obeys dv the ODE, RC +v = u, dt 2.1 by solving the ODE, derive an equation which relates the circuit's output voltage to input voltage. (show your working clearly) R u(t) C v(t) 2.2 Using you result for 2.1 calculate the output voltage v(t) if, u(t) = 0. 2.3 Using your result for 2.1, calculate the output voltage v(t) if, u (t) = 1, cos (ot + ø).

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Analog to Digital Converters

The analog-to-digital converter (ADC) allows circuits controlled by microprocessors, Arduinos, Raspberry Pi, and various reasonable digital circuits to be connected to the real world. In the real world, analog signals have a continuous stream of information from a variety of sources and sensors capable of measuring sound, light, temperature, or movement, in addition to the many digital systems that interact with their environment by measuring analog signals from those transducers.