Relationship between Energy Transferred, Current, Voltage and Time

Relationship between Energy Transferred, Current, Voltage and Time

The potential difference or voltage, V across two points is defined as the energy, E dissipated or transferred by a coulomb of charge, Q that moves through the two points.
Therefore, potential difference,
Relationship between Energy Transferred, Current, Voltage and Time

Current is the rate of charge flow. Therefore, the total charges that flow through the two points is given as:
Relationship between Energy Transferred, Current, Voltage and Time 1Since the energy dissipated Or transferred is given by:
Relationship between Energy Transferred, Current, Voltage and Time 2Therefore, the relationship between E, V, I and t can be written as:
Relationship between Energy Transferred, Current, Voltage and Time 3Relationship between Energy Transferred, Current, Voltage and Time 4Thus, the formulae for the energy dissipated or released by electric charges may be written in three different ways. The one that is chosen depends on the information given.

People also ask

Relationship between Power Voltage and Current

Power is defined as the rate of electrical energy dissipated or transferred. Hence
Relationship between Energy Transferred, Current, Voltage and Time 5
Relationship between Energy Transferred, Current, Voltage and Time 6Power is measured in joule per second (J/s) and the unit for power is watt The power of 1 watt means that 1 joule of electrical energy is being dissipated or released in every second.

Relationship between Energy Transferred, Current, Voltage and Time Problems with Solutions

  1. A current of 5 A flows through an electric heater when it is connected to a 240 V mains supply. How much heat is released after 2 minutes?
    Solution:
    E = VIt
    = 240 x 5 x 2 x 60 J
    = 144 000 J
  2. Two resistors of 5 Ω and 10 Ω respectively are connected in parallel to a 9 V supply.
    Calculate:
    (a) The ratio of the power dissipated (used up) in the 5 Ω resistor to the 10 Ω resistor.
    (b) The power output of the supply.
    Solution:
    Relationship between Energy Transferred, Current, Voltage and Time 7