Question

Suppose the temperature range 20∘ to 120∘ lineaty represents the standard current range of 4 to 20 mA. What current will result from 66∘C ? What temperature does 6.5mA represent?

Answer 1

To find the current resulting from 66∘C, set up a proportion and solve for I. The resulting current is 11.36 mA. To find the temperature that corresponds to a current of 6.5 mA, set up a proportion and solve for T. The resulting temperature is 55.625 ∘C.

Step-by-step explanation:

From the given information, we can deduce that there is a linear relationship between temperature and current. The temperature range of 20∘ to 120∘ corresponds to a current range of 4 to 20 mA.

To find the current resulting from 66∘C, we can set up a proportion. We can write the proportion as follows:

(66 - 20)/(120 - 20) = (I - 4)/(20 - 4)

Simplifying the proportion gives:
46/100 = (I - 4)/16

Cross-multiplying, we find:
I - 4 = (46/100) * 16

Calculating the right side, we get:
I - 4 = 7.36

Finally, solving for I, we find:
I = 7.36 + 4 = 11.36 mA

To determine the temperature that corresponds to a current of 6.5 mA, we can use a similar approach. Setting up a proportion, we have:
(66 - 20)/(120 - 20) = (6.5 - 4)/(20 - 4)

Simplifying and solving for the temperature (T), we find:
T = (6.5 - 4) * (120 - 20)/(20 - 4) + 20

Calculating the right side, we get:
T = 2.5 * 100/16 + 20 = 35.625 + 20 = 55.625 ∘C