**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,

Current is the rate of charge flow. Therefore, the total charges that flow through the two points is given as:

Since the energy dissipated Or transferred is given by:

Therefore, the relationship between E, V, I and t can be written as:

Thus, 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.

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**Relationship between Power Voltage and Current**

**Power** is defined as the **rate of electrical energy dissipated** or transferred. Hence

Power 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**

- 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 - 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:**