Click to Chat
1800-1023-196
+91-120-4616500
CART 0
Use Coupon: CART20 and get 20% off on all online Study Material
Welcome User
OR
LOGIN
Complete Your Registration (Step 2 of 2 )
Effective Grouping of Cells The flow of current through a medium depends to a large extent on the effective grouping of cells. We first discuss some of the terms associated with this Internal Resistance: As the name suggests, the resistance which is present in the interior of the circuit is called the internal resistance. It may also be defined as the resistance within the battery or any other voltage source which leads to a fall in the source of voltage whenever the current flows. External Resistance: Quite opposite to internal resistance is the concept of external resistance. The resistance which is not present internally, like not present in the battery is termed as external resistance. Now we consider the type of grouping necessary for the current to be maximum: For effective grouping, the current should be maximum. This implies that the value (mR + nr) should be minimum. Now, mR + nr = The second term is non-zero, the term in the parenthesis (√mR - √nr)2 = 0. Hence, mR = nr So R = n / m r Illustration: There are 27 cells with an internal resistance 0.4 W and an external resistance 1.2 W. What is the most effective way of grouping them? Solution: Let there be n cells in series having m parallel branches mn = 27 …… (1) mR = nr …… (2) 1.2 m = n (0.4) 3m = n …… (3) From equation (1) and (3), we get m = 3 and n = 9 askIITians offers comprehensive study material which covers the topic of grouping of cells in detail. It is important for the aspirants to master this topic in order to remain competitive in the JEE. the material covers all the topics of Physics of IIT JEE. Related Resources
The flow of current through a medium depends to a large extent on the effective grouping of cells. We first discuss some of the terms associated with this
Internal Resistance: As the name suggests, the resistance which is present in the interior of the circuit is called the internal resistance. It may also be defined as the resistance within the battery or any other voltage source which leads to a fall in the source of voltage whenever the current flows.
External Resistance: Quite opposite to internal resistance is the concept of external resistance. The resistance which is not present internally, like not present in the battery is termed as external resistance.
Now we consider the type of grouping necessary for the current to be maximum:
For effective grouping, the current should be maximum. This implies that the value (mR + nr) should be minimum.
Now, mR + nr =
The second term is non-zero, the term in the parenthesis
(√mR - √nr)2 = 0.
Hence, mR = nr
So R = n / m r
Illustration:
There are 27 cells with an internal resistance 0.4 W and an external resistance 1.2 W. What is the most effective way of grouping them?
Solution:
Let there be n cells in series having m parallel branches
mn = 27 …… (1)
mR = nr …… (2)
1.2 m = n (0.4)
3m = n …… (3)
From equation (1) and (3), we get m = 3 and n = 9
askIITians offers comprehensive study material which covers the topic of grouping of cells in detail. It is important for the aspirants to master this topic in order to remain competitive in the JEE. the material covers all the topics of Physics of IIT JEE.
Click here for the Detailed Syllabus of IIT JEE Physics.
Look into the Sample Papers with Solutions to get a hint of the kinds of questions asked in the exam.
You can get the knowledge of Recommended Books of Physics here.
To read more, Buy study materials of Current Electricity comprising study notes, revision notes, video lectures, previous year solved questions etc. Also browse for more study materials on Physics here.
Signing up with Facebook allows you to connect with friends and classmates already using askIItians. It’s an easier way as well. “Relax, we won’t flood your facebook news feed!”
Post Question
Dear , Preparing for entrance exams? Register yourself for the free demo class from askiitians.
Resistance and Resistivity Table of Content...
Basic Concepts In electrostatics we have seen that...
Electrical Energy and Power Table of contents...
Mechanism of current flow in a metallic conductor...
Cells, EMF, Internal Resistance Table of Content...
Electric Current and Current Density Table of...
Meter Bridge Table of contents Wheatstone Bridge...
Specific Resistance of the Material of a wire...
Maximum Power Transfer Theorem Table of Content...
Combination of Resistors – Series and...
Grouping of Identical Cells Series Grouping E.m.f....
Int Introduction of Current Electricity Table of...
Variation of Resistivity with Temperature We have...
Drift of Electrons and the Origin of Resistivity...
Emf and Grouping of cells Table of Content...
Resistivity of Various Materials Table of contents...
Drift Velocity The average velocity attained by...
Temperature Dependence of Resistivity Table of...
Wheatstone Bridge Table of contents Introduction...
Solved Examples of Comlicated Circuits...
Kirchhoff’s Law Table of contents Current...
Potentiometer Table of contents Potentiometer and...
Thermal and Chemical Effect of current Table of...
Ohm’s Law Table of contents Voltage, Current...
Constant Potential Difference Table of Content...
Complicated Circuits As the name suggests,...
Errors The major systematic errors in this...
Cells in Series and in Parallel Table of Content...
Limitations of Ohm’s Law Table of contents...
Measurement of an unknown resistance using a Post...
