(Solved): A temperature-measuring transmitter has an input range from -40 to 60C and output range from 4 t ...

A temperature-measuring transmitter has an input range from -40 to $60^{?}\mathrm{C}$ and output range from 4 to $20\mathrm{mA}$. Assume the transmitter is linear and find the following: i. The transmitter gain, $\mathrm{H}={\mathrm{C}}_{\mathrm{m}}/\mathrm{C}$. ii. The equation for the output ${\mathrm{C}}_{\mathrm{m}}$ in terms of input $\mathrm{C}$. iii. The output of the transmitter when input $\mathrm{C}=22^{?}\mathrm{C}$. iv. The input to the transmitter when output $C_m=11\mathrm{mA}$.