Electrical Power
$\displaystyle \small \bullet$ Power of any machine is the rate of doing work.
$\displaystyle \small \bullet$ The product of voltage and current is also known as Electrical Power.
$\displaystyle \small Power=Voltage\times Current$

$\displaystyle \small P=VI=I^{2}R=\frac{V^{2}}{R}$

$\displaystyle \small \bullet$ Unit of power is Joule/sec.
$\displaystyle \small \bullet$ Power of electrical machines is majorly expressed in Horse Power (HP).
1 kW = 1000 W = 1.3596 HP (Metric)
1 kW = 1000 W = 1.3404 HP (British)

Electrical Energy
$\displaystyle \small \bullet$ The ability of an object to do work is called energy.
$\displaystyle \small \bullet$ It is measured by the work done by a substance.
$\displaystyle \small \bullet$ Elecrical energy is expressed in Joule and kWh (kiloWatt-hour).
Energy = Power × Time
1 unit = 1 kWh = 1000 Watt-hour

Joule's Law
$\displaystyle \small \bullet$ When electric current flows through a circuit, then due to resistance of the circuit some part of electrical energy is converted into heat energy.
$\displaystyle \small \bullet$ This energy is equal to the product of square of current, resistance and time.
$\displaystyle \small H=I^{2}Rt$ Joule

$\displaystyle \small H=0.24\: I^{2}Rt$ Calorie [1 Calorie = 4.18 Joule and 1 Joule = 0.24 Calorie]
where,
H = Electrical heat energy
I = Current
t = Time