Answer
341.7k+ views
Hint: There are two laws given by Kirchhoff for determination of potential difference and current in different branches of any complicated network. Law of conservation of charge is a consequence of the continuity equation. First law is basically junction law: the total entering is equal to the total current outgoing. This law is based on the law of conservation of charge.
Complete step by step solution:
Second law is also called loop rule or potential law. In any closed circuit the algebraic sum of all potential differences and emf is zero .$\sum\limits_{{}}^{{}}{E-\sum\limits_{{}}^{{}}{IR=0}}$ while moving from negative to positive terminal inside the cell, emf is taken positive while moving in the direction of current in a circuit the potential drop (i.e. $IR$) across resistance is taken as positive. This law is based on the law of conservation of energy.
$-{{i}_{1}}{{r}_{1}}-{{i}_{2}}{{r}_{2}}+E=0$
The change in potential in traversing a resistance in the direction of the current is $-ir$.
By applying KVL, we get one equation, but in order to solve the circuit, we require as many equations as there are unknowns. So we select the required number of loops and apply kirchhoff voltage law across each such .
Note:
After solving a set of simultaneous equations, we obtain the numerical values of the assumed currents. If any of these values comes out to be negative, it indicates that the particular current is in the opposite direction from the assumed one. While considering the voltage drop or gain across an inductor, we always assume current to be in increasing function.
Complete step by step solution:
Second law is also called loop rule or potential law. In any closed circuit the algebraic sum of all potential differences and emf is zero .$\sum\limits_{{}}^{{}}{E-\sum\limits_{{}}^{{}}{IR=0}}$ while moving from negative to positive terminal inside the cell, emf is taken positive while moving in the direction of current in a circuit the potential drop (i.e. $IR$) across resistance is taken as positive. This law is based on the law of conservation of energy.
![seo images](https://www.vedantu.com/question-sets/9c7f6811-d735-46a2-956b-88ad3cd173005580162895946174960.png)
$-{{i}_{1}}{{r}_{1}}-{{i}_{2}}{{r}_{2}}+E=0$
The change in potential in traversing a resistance in the direction of the current is $-ir$.
By applying KVL, we get one equation, but in order to solve the circuit, we require as many equations as there are unknowns. So we select the required number of loops and apply kirchhoff voltage law across each such .
Note:
After solving a set of simultaneous equations, we obtain the numerical values of the assumed currents. If any of these values comes out to be negative, it indicates that the particular current is in the opposite direction from the assumed one. While considering the voltage drop or gain across an inductor, we always assume current to be in increasing function.
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)