A capacitive sensing probe 2.7 m high has a capacitance of 157 pF in air and 7.4 nF when partially immersed in a liquid with a dielectric constant of 79. How much of the probe is immersed in the...

A capacitive sensing probe 2.7 m high has a capacitance of 157 pF in air and 7.4 nF when partially immersed in a liquid with a dielectric constant of 79. How much of the probe is immersed in the liquid?

A force sensor is immersed in a liquid with a density of 61 lb/ft³
to a depth of 42 in and then placed in a second liquid with a density of 732 N/m³. What is the change in force on the sensor if the diameter of the sensor is 8 cm and the change in depth is 5.9 cm?