Relation Between Celsius And Fahrenheit

Celsius and Fahrenheit are two scales used to measure temperature. The temperature in centigrade scale will be expressed in degree Celsius. The temperature in Fahrenheit scale will be expressed in degree Fahrenheit. The relation between Celsius and Fahrenheit is proportional. Both have a different freezing point of water and both follow the varied unit difference between each scale.

Celsius to Fahrenheit

The conversion from Celsius to Fahrenheit can be mathematically expressed as-

\(C=\frac{5}{9}\left ( F-32 \right )\)

Where,

  • F is the temperature in Fahrenheit.
  • C is the temperature in Centigrade scale.

Fahrenheit to Celsius

The conversion from Fahrenheit to Celsius can be mathematically expressed as-

\(F=\frac{9}{5}\left ( C+32 \right )\)

Where,

  • F is the temperature in Fahrenheit.
  • C is the temperature in Centigrade scale.

Examples:

1 degrees Celsius to Fahrenheit

\(F=\frac{9}{5}\left ( 1+32 \right )\)

33.8 °F

1 Fahrenheit to Celsius

\(C=\frac{5}{9}\left ( 1-32 \right )\)

-17.2222 °C

Units of Celsius and Fahrenheit

The units of temperature scale are useful in differentiating temperature from one scale to another.

  • The temperature in Celsius scale is denoted by °C
  • The temperature in the Fahrenheit scale is denoted by °F

Relation between C and F

Relation Between Celsius And Fahrenheit

The relation between Celcius and Fahrenheit is direct. The Celsius is directly proportional to Fahrenheit. Which implies that –

  • When the temperature in Celsius scale increases, it’s Fahrenheit temperature equivalent temperature will also be high.
  • When the temperature in Celsius scale decreases, it’s Fahrenheit temperature equivalent temperature will also be low.

Both the scales has its own thermometer for measurements. Fahrenheit scale is proposed by taking 32°F as a freezing point of water and 212°F as a boiling point of water. Whereas in Celsius scale 0°C is the freezing point of water and 100°C is the boiling point of water.

Hope you understood the relation and conversion between the Celcius and Fahrenheit scale of temperature.

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Practise This Question

Charge is continuously fed to a conductor. What should the minimum charge density at any point be to give corona discharge when the conductor is kept in air?
(Dielectric strength of air is 3,000,000Vm 

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