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Ohm’s Law Formula, Derivation, Statement, Definition, Diagram

Ohm’s Law Definition

At constant temperature, Georg Ohm discovered that the electrical current flowing through a given linear resistance is proportional to the voltage placed across it and inversely proportional to the resistance. Ohms Law is based on the relationship between voltage, current, and resistance. Or the link between electric current and a potential difference is described by Ohm’s law. In most conductors, the current is exactly proportional to the voltage applied to them. Georg Simon Ohm, a German scientist, was the first to verify Ohm’s law by experiment. In this article, we will discuss ohm’s law in detail, the students must bookmark this page to get all the updates. 

State Ohm’s Law 

Ohms Law is based on the relationship between voltage (V), current (I), and resistance (R). Or the link between electric current and a potential difference is described by Ohm’s law.

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Ohm’s Law Definition in Hindi

निरंतर तापमान पर, जॉर्ज ओम ने पाया कि किसी दिए गए रैखिक प्रतिरोध के माध्यम से बहने वाली विद्युत धारा उसके पार रखे वोल्टेज के समानुपाती होती है, साथ ही प्रतिरोध के व्युत्क्रमानुपाती होती है। ओम का नियम वोल्टेज, करंट और प्रतिरोध के बीच संबंध पर आधारित है। या विद्युत प्रवाह और एक संभावित अंतर के बीच की कड़ी को ओम के नियम द्वारा वर्णित किया गया है। अधिकांश कंडक्टरों में, करंट उन पर लगाए गए वोल्टेज के बिल्कुल समानुपाती होता है। जर्मन वैज्ञानिक जॉर्ज साइमन ओम ने सबसे पहले ओम के नियम को प्रयोग द्वारा सत्यापित किया था।

Ohm’s Law Formula

Below we have given the formula of ohm’s law by using the formula given below students can calculate the value of Voltage, Resistance, and Current.

V = IR 

This shows voltage is directly proportional to current.

V = Voltage or potential difference of conductor

I =  current flowing through the conductor

R = Resistance

I = V/R

We can find current by the above formula if voltage and resistance are given. 

R = V/I

We can find the resistance using the above formula if we know voltage and current. 

Ohm’s Law for Class 10 

Ohm’s Law Derivation for Class 10 & 12

According to Ohm’s law, If the conductivity and other physical conditions (length, cross-section, material, etc.) are unchanged, the current flow through a conductor is proportional to the potential difference across the conductor.
Let AB be a conductor. The potential at the A end of the conductor is VA and the potential at the B end is VB. Assume, Va > VB |
Hence, current will flow from A to B in the conductor. If the current is I, then according to Ohm’s law,
(VA – VB ) ∝ I [If development and other physical conditions remain unchanged]
Or, VA-VB = RI [R = constant]
Or, V = RI [If VA – VB = V is assumed.]
Or, I =V/R 
Resistance of the conductor refers to this constant R. If the terminal potential difference of the conductor is unchanged, the resistance of the conductor decreases with a large current, and the current increases with decreasing resistance.

Ohm’s Law Statement

If the potential difference across the conductor is V, the current in the conductor is I and the resistance of the conductor is R, from Ohm’s law, R = V/I 
Therefore resistance = (the potential difference between the two ends of the conductor) / ( the current flow through the conductor.)
So, the definition of resistance from Ohm’s law is the ratio between the potential difference between the two ends of a conductor and the current flowing through the conductor is called the resistance of that conductor.
Ohm's Law Formula, Derivation, Statement, Definition, Diagram_40.1
Definition Of Resistance

Unit of Resistance

The unit used in the measurement of Resistance is the ohm ( Ω )
If a potential difference of 1 volt is applied across a conductor and the current through the conductor is 1 ampere, then the resistance of that conductor is called 1-ohm resistance.
1 ohm ( Ω ) =  1V / 1A

Ohm’s Law Experiment

The following experiment makes it simple to confirm Ohm’s Law:
Equipment needed: Resistor,  Ammeter, Voltmeter, Battery. Plug Key, Rheostat
Ohm's Law Formula, Derivation, Statement, Definition, Diagram_50.1
Circuit Diagram:
Process 
1. The rheostat is initially set to get the lowest reading in the ammeter A and voltmeter V while the key K is closed.
2. By adjusting the rheostat’s sliding terminal, the current in the circuit is progressively increased. The procedure involves recording the current flowing through the circuit and the accompanying potential difference across the resistance wire R.
3. On this basis, various sets of voltage and current values are derived.
4. The ratio of V/I is computed for each set of V and I values.
5. You’ll see that the ratio V/I for each scenario is nearly identical when you compute it. V/I hence equals R, a constant.
6. Create a graph that contrasts the current and potential.

Ohm’s Law Diagram

the formula of ohm’s law by using the procedure given below students can calculate the value of Voltage, Resistance, and Current.

V = IR 
Ohm's Law Formula, Derivation, Statement, Definition, Diagram_60.1
Ohm law Experiment Setup

Ohm’s Law in vector form

Ohm’s law in vector form is J=σE

This is atom’s law in vector form

where J = current density
E = potential gradient
σ = conductivity

Definition of Power from Ohms Law

Electric power is the rate of energy conversion from the electrical energy of moving charges to other forms of energy such as mechanical energy, heat energy, energy stored in magnetic fields, or energy stored in electric fields.
The unit of Power is  watt.
Using Ohm’s law and the values of voltage, current, and resistance as substitutes, the electrical power may be determined.
P= VI [ When Voltage and current are provided]
P= v²/ R [ When Voltage and resistance are provided
P=I² R [ [When current and resistance provided]

Ohm’s Law: Pie Chart

Here is a pie chart given by which students can easily find out the value of different variables such as current (I), Resistance (R), Power (P), and Voltage (V).
Ohm's Law Formula, Derivation, Statement, Definition, Diagram_70.1
Ohm Law: Pie chart

Ohm’s Law gives a Relationship between Current, Voltage, and Resistance

Here we will check the resistance on different voltage and currents, have a look at the table given below. 

Voltage(V) Current(I) Resistance(R)

R = V/I

0.5 1 0.5
1 2 0.5
2 2 1
3 1 3
4 2 2
6 2 3
8 2 4
10 2 5
12 3 4
14 7 2
16 4 4
18 9 2
20 10 2
15 7 2.5
14 2 7
22 11 2
13 2 6.5
11 2 5.5
19 2 9.5

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Ohm’s law class 10: for a Magnetic Circuit

Ohm’s law for magnetic circuits is F=ϕS.
Explanation: Ohm’s law for magnetic circuits states that the MMF is directly proportional to the magnetic flux whereas reluctance is the constant of proportionality.

Ohms Law is applicable to

Ohm’s law is true for all metallic conductors at low temperatures. “In metallic conductors at constant temperature and zero magnetic fields, the current flowing is proportional to the voltage across the ends of the conductor, and is inversely proportional to the conductor’s resistance,” according to Ohm’s Law.

Ohm’s Law: Limitations

•Electrical components that only allow one direction of current flow, such as diodes and transistors, are not subject to Ohm’s law.

•Ohm’s law does not apply to electronic valves (diode valves, triodes), semiconductors (germanium, silicon, etc.), electrolytic materials, and gasses under low pressure i.e. non-ohmic conductors

Ohm’s Law: Applications

Ohm’s law is widely used in various fields.
• If we figure out a circuit’s voltage, resistance, or current using ohm’s law.
• The desired voltage drop across the electrical components is maintained by Ohm’s law.
In DC ammeters and other DC shunts, the current is also redirected using Ohm’s law.

 

Ohm’s Law: Solved Questions

Below we have given examples of ohm’s law the students preparing for boards, competitive exams, or engineering entrance exams must know the applications of ohm’s law. Below we have given some examples because numerical questions can be asked on ohm’s law. Hence, the students must solve the questions and before jumping on questions the students must know the concept of ohm’s law. Physics is all about concepts and is numerically based on those concepts. Thus, the students must not rely on theory in physics, they must solve questions based on the concepts of ohm’s law. 

Q.1 In a circuit, a battery of 20 volts is connected and the current flow through that circuit is 10 ampere. Find out the resistance connected in the circuit.

Ohm’s law states that

R = V/I

Given, that the Voltage of the circuit is  20 volts.

The current flowing through the circuit is 10 ampere

By using ohm’s law, Resistance of the circuit(R) = 20/10

Resistance of the circuit(R) = 2 ohm

Thus, the resistance connected in the circuit is 2 ohm

Q. In an electric circuit, a 12-volt battery is connected with resistance. The value of resistance is 6 ohms. Find the current flowing through the circuit.

Ohm’s law states that

I = V/R

Given, that the Voltage of the circuit is  12 volts.

Resistance connected in an electric circuit is 6 ohms.

Find: Current flowing through the electric circuit I =?

By using ohm’s law

Current flowing through the electric circuit I = V/R

current flowing through the electric circuit I = 2 amp

Thus, the current flows through the electric circuit  2 amp.

Q. A 12 amp current is flowing through an electric circuit and a battery of V volt is connected to the circuit. The resistance of 0.5 ohms is connected in series with the battery. Find the value of V?

Ohm’s law states that

V= IR

Given, Current flowing through the electric circuit I = 12 amp

Resistance connected in series to the battery = 0.5 ohms

Find: Voltage V =?

By using ohm’s law

Voltage of the Battery V = IR

voltage of the Battery V = 12*0.5

Voltage of the Battery V = 6 V

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Ohm’s Law: FAQs

Q. What is ohm’s law?

Ohm’s law asserts that the voltage across a conductor is proportional to the current flowing through it if all physical parameters and temperature stay constant. 

Q. What is the formula to calculate voltage using ohm’s law?

The formula to calculate voltage using ohm’s law

V = IR

Q. What is the formula to calculate current using ohm’s law?

 The formula to calculate current using ohm’s law 

I = V/R

Q. What is the formula to calculate resistance using ohm’s law?

The formula to calculate resistance using ohm’s law

R = V/I

Q. What is R in ohm’s law formula?

R is resistance in the ohms law formula. 

 

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FAQs

Q. What is ohm’s law?

Ohm’s law asserts that the voltage across a conductor is proportional to the current flowing through it if all physical parameters and temperature stay constant.

Q. What is the formula to calculate voltage using ohm’s law?

The formula to calculate voltage using ohm’s law

V = IR

Q. What is the formula to calculate current using ohm’s law?

The formula to calculate current using ohm’s law

I = V/R

Q. What is the formula to calculate resistance using ohm’s law?

The formula to calculate resistance using ohm’s law

R = V/I

Q. What is R in ohm’s law formula?

R is resistance in the ohms law formula.

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