Electrical Formulas

This article deals with electrical formulas and their derivations. First of all, understanding the basics of electricity is vital for gaining proper knowledge of electricity. Furthermore, there exist four basic physical quantities of electricity. Above all, these four physical quantities in electricity are voltage (V), current (I), resistance(R), and power (P). Moreover, the measurement of each of these quantities takes place by making use of different units.

What are the Basic Fundamentals of Electricity?

A system of water pipes can certainly prove very effective in understanding how the various units of electricity can work together. So in this analogy, voltage represents the water pressure, current represents the flow rate, and resistance represents the pipe size.

Some important fundamental aspects of electricity are Ohm’s Law, volts, amps, ohms, and watts. Ohm’s Law tells us that the voltage is equal to the current which flows in a circuit times the resistance of the particular circuit. Volts refers to the base unit which helps in measuring voltage. The ampere, shortened to “amp” or ‘A’ refers to the base unit of the electric current which is used in the International System of Units. Most noteworthy, the measurement of the electric current takes place in amps.

Ohms refers to the base unit of resistance in an electrical system. Furthermore, the ohm refers to an electrical resistance between two points of a conductor such that when a constant potential difference of one volt is applied to the points, results in the production of a current of one ampere in the conductor. Furthermore, such a conductor is not a seat of any electromotive force.

On the other hand, a watt refers to the base unit of power in electrical systems. Also, a watt measures how much energy gets released per second in a certain system. Watt is heavily used in mechanical systems.

Get the huge list of Physics Formulas here

Electrical Formulas and Their Derivations

The various electrical formulas and their derivations are as follows:

The relationship between volt, watt, and ohms is below

Volts = square root of (watts × ohms)

The relationship between volts, watts, and amperes is as follows

Volts = watts/ amperes

Furthermore, below is the relationship between volts, amperes, and ohms

Volts = amperes × ohms

Below is the relationship between ohms, watts, and amperes

Ohms = watts/ amperes2

Based, on the above relationships, alternative formulas for ohms can be derived below:

Ohms = volts/ amperes

Ohms = volts2/ watts

As discussed above, an alternative formula can signify the relationship between watts, volts, and ohms

Watts = volts2/ ohms

Below is a relationship between watts, amperes, and ohms

Watts = amperes2 × ohms

Finally, with regards to Watts, this is the last formula signifying the relationship between watts, volts, and amperes

Watts = volts × amperes

When it comes to amperes, the various relationships involving amperes have already been discussed above. Nevertheless, the various possible alternative formulas with regards to amperes can be written below:

first of all, Amps = volts/ ohms

Amps = watts/ volts

Amps = square root of (watts/ohms)

Solved Questions on Electrical Formulas

Q1 Find out the current in an electrical circuit which has a voltage of 140V and 14Ω of the resistance?

A1 The formula for finding out the current is as follows

first of all, I = \(\frac{V}{R}\)
I = 140/ 14
I = 10 A

Hence, the current in this particular electrical circuit which has a voltage of 140V and a resistance of 14Ω is 10A.

Q2 Find out the voltage across an electrical circuit which consists of a current of 8A and a resistance of 150Ω?

A2 The formula for finding the voltage is given below

V = I × R
V = 8 × 150
So, V = 1200

Hence, the voltage in this electrical system is 1200V.