Answer
427.5k+ views
Hint: In this question, we need to verify the ohm's law by sketching a circuit diagram. For this, we will follow Kirchhoff's voltage law.
Complete step by step answer:Let us consider a circuit in which a resistance “R” is connected with a DC voltage source, “V”.
As the circuit is closed, a current of magnitude “I” flows in the circuit.
According to Kirchhoff’s voltage law, the sum of the voltage drop across all the elements attached in the closed-circuit is arithmetical equals to zero.
So, in the above figure, there is a voltage source of magnitude “V”. There will be the voltage drop which will be equivalent to the product of the current flowing through the resistance and the magnitude of the resistance. Mathematically, ${V_r} = IR$ where “I” is the current flowing through the resistance “R” and ${V_r}$ is the potential drop across the resistance.
Now, applying Kirchhoff’s voltage law, we get
$
V - IR = 0 \\
V = IR \\
$
The above equation can also be written as:
$\dfrac{V}{I} = R$
Here, “R” is the constant value which is fixed and will not change with time and the voltage source connected across it. Hence, we can write $\dfrac{V}{I} = R$ as:
$\dfrac{V}{I} = {\text{constant}}$
The above equation can again be re-written as:
$V \propto I$
This is the basic statement and the mathematical expression for the ohm’s law which states that the voltage in a closed circuit is directly proportional to the current associated with the circuit only.
Note:Students must know about the Kirchhoff’s voltage law to establish the ohm’s law. Moreover, it is interesting to note here that the ohm’s law is not valid for the semiconductor devices.
Complete step by step answer:Let us consider a circuit in which a resistance “R” is connected with a DC voltage source, “V”.
![seo images](https://www.vedantu.com/question-sets/16423a97-9b5c-4b30-b7ff-ccf8cc4e11e57134221276636080312.png)
As the circuit is closed, a current of magnitude “I” flows in the circuit.
According to Kirchhoff’s voltage law, the sum of the voltage drop across all the elements attached in the closed-circuit is arithmetical equals to zero.
So, in the above figure, there is a voltage source of magnitude “V”. There will be the voltage drop which will be equivalent to the product of the current flowing through the resistance and the magnitude of the resistance. Mathematically, ${V_r} = IR$ where “I” is the current flowing through the resistance “R” and ${V_r}$ is the potential drop across the resistance.
Now, applying Kirchhoff’s voltage law, we get
$
V - IR = 0 \\
V = IR \\
$
The above equation can also be written as:
$\dfrac{V}{I} = R$
Here, “R” is the constant value which is fixed and will not change with time and the voltage source connected across it. Hence, we can write $\dfrac{V}{I} = R$ as:
$\dfrac{V}{I} = {\text{constant}}$
The above equation can again be re-written as:
$V \propto I$
This is the basic statement and the mathematical expression for the ohm’s law which states that the voltage in a closed circuit is directly proportional to the current associated with the circuit only.
Note:Students must know about the Kirchhoff’s voltage law to establish the ohm’s law. Moreover, it is interesting to note here that the ohm’s law is not valid for the semiconductor devices.
Recently Updated Pages
Mark and label the given geoinformation on the outline class 11 social science CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
When people say No pun intended what does that mea class 8 english CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Name the states which share their boundary with Indias class 9 social science CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Give an account of the Northern Plains of India class 9 social science CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Change the following sentences into negative and interrogative class 10 english CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Advantages and disadvantages of science
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Trending doubts
Bimbisara was the founder of dynasty A Nanda B Haryanka class 6 social science CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Which are the Top 10 Largest Countries of the World?
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Difference between Prokaryotic cell and Eukaryotic class 11 biology CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Differentiate between homogeneous and heterogeneous class 12 chemistry CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
10 examples of evaporation in daily life with explanations
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Fill the blanks with the suitable prepositions 1 The class 9 english CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Give 10 examples for herbs , shrubs , climbers , creepers
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
How do you graph the function fx 4x class 9 maths CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Difference Between Plant Cell and Animal Cell
![arrow-right](/cdn/images/seo-templates/arrow-right.png)