(a) (b) The circuit in Figure 1 shows an amplifier connected between a source of voltage Vs and output resistance R$ 50 and a load R 50. The amplifier is characterised by an input impedance R 50 kn, a transconductance Im = 0.1 S, an output resistance Ro = 10 k and its noise characteristics are described by a noise voltage generator V = 0.1 nV/Hz and a noise current generator In = 10 pA/Hz. The circuit operates at a temperature of 290 K and the bandwidth of interest is 10 kHz. Vs I I T I VL Vin Vi RL Rx In Ri *T*T # # Iin - - . Amplifer - V Figure 1. Determine a suitable value for the shunt resistor Rx if there is to be maximum power transfer between the source and the rest of the circuit and the voltage gain of the VL circuit Av Vs Determine the contributions of all sources of noise in the circuit to the output noise and the input voltage needed to set the Signal to Noise Ratio to 6dB.