Answer
Verified
377.7k+ views
Hint: In this problem the cell which is having $emf$ of $6V$ and current of $12A$ is connected in different combinations that is series and parallel combination to obtain the $emf$ of $24V$ and current of $24A$ .
Complete step-by-step solution:
If the cells are connected in series the resultant $emf$ of the battery will be equal to sum of the $emf$ of the individual cell and the current remains same .If $E$ is the resultant $emf$ of the of the battery with $n$ number of cells and ${E_1},{E_2},{E_3},{E_4}.......{E_n}.$ are the $emf$ of individual cells. Then
$E = {E_1} + {E_2} + {E_3} + {E_4}....... + {E_n}.$……… $\left( 1 \right)$
$I$ remains the same.
If the cells are connected in parallel the resultant current of the battery will be equal to sum of the current of the individual cell and the $emf$ remains same .If $I$ is the resultant current of the of the battery with $n$ number of cells and ${I_1},{I_2},{I_3},{I_4}.......{I_n}.$ are the current of individual cells. Then
$I = {I_1},{I_2},{I_3},{I_4}.......{I_n}.$ ……… $\left( 2 \right)$
$E$ remains the same.
Given:
$ \Rightarrow $ Each cell have $emf$ of $6V$ and current of $12A$
$\varepsilon = 6V,I = 12A$
This cell should be connected to get resultant $emf$ of $24V$ and current of $24A$
$ \Rightarrow $ When $4$ cells are connected in series the resultant $emf$ is $24V$ and the current remains the same that is $12A$ because the current is same in series combination
$\varepsilon = 24V,I = 12A$
$ \Rightarrow $ Then this combination is connected in parallel the resultant $emf$ remains the same that is $24V$ because voltage or $emf$ remains same in parallel combination and the current will be $24A$
$\varepsilon = 24V,I = 24A$
Therefore, $8$ cells are connected in mixed group as shown above to get, $\varepsilon = 24V,I = 24A$
Hence, option $B$ is correct. That is $8$
Note: In series connection the current will be the same and potential difference or voltage or $emf$ will be different. Whereas in parallel combination the current will be different and the potential difference will be the same.
Complete step-by-step solution:
If the cells are connected in series the resultant $emf$ of the battery will be equal to sum of the $emf$ of the individual cell and the current remains same .If $E$ is the resultant $emf$ of the of the battery with $n$ number of cells and ${E_1},{E_2},{E_3},{E_4}.......{E_n}.$ are the $emf$ of individual cells. Then
$E = {E_1} + {E_2} + {E_3} + {E_4}....... + {E_n}.$……… $\left( 1 \right)$
$I$ remains the same.
If the cells are connected in parallel the resultant current of the battery will be equal to sum of the current of the individual cell and the $emf$ remains same .If $I$ is the resultant current of the of the battery with $n$ number of cells and ${I_1},{I_2},{I_3},{I_4}.......{I_n}.$ are the current of individual cells. Then
$I = {I_1},{I_2},{I_3},{I_4}.......{I_n}.$ ……… $\left( 2 \right)$
$E$ remains the same.
Given:
$ \Rightarrow $ Each cell have $emf$ of $6V$ and current of $12A$
$\varepsilon = 6V,I = 12A$
This cell should be connected to get resultant $emf$ of $24V$ and current of $24A$
$ \Rightarrow $ When $4$ cells are connected in series the resultant $emf$ is $24V$ and the current remains the same that is $12A$ because the current is same in series combination
$\varepsilon = 24V,I = 12A$
$ \Rightarrow $ Then this combination is connected in parallel the resultant $emf$ remains the same that is $24V$ because voltage or $emf$ remains same in parallel combination and the current will be $24A$
$\varepsilon = 24V,I = 24A$
Therefore, $8$ cells are connected in mixed group as shown above to get, $\varepsilon = 24V,I = 24A$
Hence, option $B$ is correct. That is $8$
Note: In series connection the current will be the same and potential difference or voltage or $emf$ will be different. Whereas in parallel combination the current will be different and the potential difference will be the same.
Recently Updated Pages
How many sigma and pi bonds are present in HCequiv class 11 chemistry CBSE
Mark and label the given geoinformation on the outline class 11 social science CBSE
When people say No pun intended what does that mea class 8 english CBSE
Name the states which share their boundary with Indias class 9 social science CBSE
Give an account of the Northern Plains of India class 9 social science CBSE
Change the following sentences into negative and interrogative class 10 english CBSE
Trending doubts
Fill the blanks with the suitable prepositions 1 The class 9 english CBSE
Which are the Top 10 Largest Countries of the World?
Give 10 examples for herbs , shrubs , climbers , creepers
Difference Between Plant Cell and Animal Cell
Difference between Prokaryotic cell and Eukaryotic class 11 biology CBSE
The Equation xxx + 2 is Satisfied when x is Equal to Class 10 Maths
Change the following sentences into negative and interrogative class 10 english CBSE
How do you graph the function fx 4x class 9 maths CBSE
Write a letter to the principal requesting him to grant class 10 english CBSE