Series Grouping |Combination of Cells|
Series Connection
what is the difference between cell and battery
Basically grouping can be done in series, parallel, or both at a same (that we call mixed grouping).
Series grouping is done to increase output voltage but this combination has it own advantages and disadvantages. Advantage is we can get large output voltage but disadvantage is internal resistance increases in series grouping.
To tackle with the problem of internal resistance we do parallel grouping. If we want to decrease internal resistance without varying output voltage this can be done only if cells are of same output voltage.
Let’s assume we are having ? batteries with EMF ?_1, ?_2, ?_3,………,?_? and internal resistances ?_1, ?_2, ?_3,………,?_? respectively.
Grouping is said to be connected in series if they arranged as shown in figure.
If ? current is flowing through the circuit and ?_??? is the external resistance.
Apply KVL in circuit 1
−??_1+?_1−??_2+?_2−??_3+?_3+…−??_?+?_?−??_???=0
?(?_1+?_2+?_3+…+?_? )+??_???=(?_1+?_2+?_3+…+?_? )
?=(∑_(?=1)^?▒?_? )/(?_???+∑_(?=1)^?▒?_? )
Apply KVL in circuit 2
−??_??+?_??−??_???=0
?=?_??/(?_???+?_?? )
Compare these two results
?=(∑_(?=1)^?▒?_? )/(?_???+∑_(?=1)^?▒?_? )
?=?_??/(?_???+?_?? )
?_??=∑_(?=1)^?▒?_?
?_??=∑_(?=1)^?▒?_?
We have assumed that all batteries are connected in same polarity (i.e. –ve terminal of battery is connected to +ve terminal of the battery)
?_??=?_1+?_2
?_??=?_1+?_2
?=??/(?_???+??)
Let us assume ? batteries are connected in same polarity and remaining ?−? are connected in reverse polarity
Apply KVL in circuit 1
−??_1+?_1+…−??_?+?_?−?_(?+1)−??_(?+1)+…−??_?−?_?−??_???=0
?(?_1+?_2+?_3+…+?_? )+??_???=(?_1+…+?_?−?_(?+1)−…−?_? )
?=(∑_(?=1)^?▒?_? −∑_(?=?+1)^?▒?_? )/(?_???+∑_(?=1)^?▒?_? )
Apply KVL in circuit 2
−??_??+?_??−??_???=0
?=?_??/(?_???+?_?? )
Compare these two results
?=(∑_(?=1)^?▒?_? −∑_(?=?+1)^?▒?_? )/(?_???+∑_(?=1)^?▒?
...
https://www.youtube.com/watch?v=W5MsTDpmCic
Problem 1.68 IE IRODOV
Problem 1.68
At the moment ?=0 the force ?=?? is applied to a small body of mass ? resting on a smooth horizontal plane (? is a constant). The permanent direction of this force forms an angle ? with the horizontal Fig. Find:
(a) the velocity of the body at the moment of its breaking off the plane;
(b) the distance traversed by the body up to this moment.
Join us on Facebook: https://www.facebook.com/institutembw
Join us on Instagram: https://www.instagram.com/institutembw/
Join us on LinkedIn: https://www.linkedin.com/company/institutembw
Join us on Twitter: https://twitter.com/institutembw
Join us on Telegram: https://t.me/institutembw
Join us on YouTube: https://www.youtube.com/c/institutembw
-----------------------------------------------------------Physics---------------------------------------------------
#Problem1_68 #IE #IRODOV #physical #fundamentals #of #Mechanics #institutembw #mbwinstitute #onlinelearning #epathshala #vidyadaan #jeemains #jeeadvanced #neet #SSYADAV
Join us on #FILTTY
by…
S.S. Yadav
B. Tech (IIT Mandi)
...
https://www.youtube.com/watch?v=z6eCYBXoCsI
Welcome to new lecture series of Electricity and magnetism in this lecture I discussed different types of the coordinate system.
Please comment your query in the comment section.
Keep learning!
#sphericalcoordinates #cylindricalcoordinates #cartesiancoordinates #institutembw #mbwinstitute
...
https://www.youtube.com/watch?v=LZ9WxVsS2ug
Loss of Energy During Redistribution of Charges
Try this question using this video:
Two capacitors C1 and C2 (where C1 greater than C2) are charged to the same initial potential difference. The charged capacitors are removed from the battery and their plates are connected as shown in Fig. (a). The switches S1 and S2 are then closed, as shown in Fig. (b ).
a. Find the final potential difference between a and b after the switches are closed.
b. Find the total energy stored in the capacitors before and after the switches are closed and the ratio of the final energy to the initial energy.
Follow us on Twitter: https://twitter.com/institutembw
Follow us on LinkedIn: https://www.linkedin.com/company/institutembw
Follow us on Facebook: https://www.facebook.com/institutembw
Follow us on Instagram: https://www.instagram.com/institutembw/
Join us on Telegram: https://t.me/institutembw
Subscribe our YouTube Channel: https://www.youtube.com/c/institutembw
#lossofenergy #redistribution #charges#institutembw #mbwinstitute #onlinelearning #epathshala #vidyadaan
Join us on #FILTTY
...
https://www.youtube.com/watch?v=UWuoi4J8GJA
Problem 5.20 |Magnetostatics |Griffith |3rd ed.
Problem 5.20
Is Ampere's law consistent with the general rule (Eq. 1.46) that divergence-of-curl is always zero? Show that Ampere's law cannot be valid, in general, outside magnetostatics. Is there any such "defect" in the other three Maxwell equations?
?.(?×?)=?……(?.??)
----------------------------------------------------------
हस्तस्य भूषणं दानं।
Contribute to keeping our content alive
Pay using UPI ID: institutembw@sbi
----------------------------------------------------------
विद्याधनं सर्वधनं प्रधानम्।
Founder: An IITian
----------------------------------------------------------
Facebook: https://www.facebook.com/institutembw
Instagram: https://www.instagram.com/institutembw/
LinkedIn: https://www.linkedin.com/company/institutembw
Twitter: https://twitter.com/institutembw
Telegram: https://t.me/institutembw
YouTube: https://www.youtube.com/c/institutembw
----------------------------------------------------------
#Problem5_20 #Griffith #Magnetostatics #Griffith #institutembw #mbwinstitute #onlinelearning #epathshala #vidyadaan #BscPhysics #iitjam #jam #optionalias #upsccse #du #optionalPhysics #IASPhysics #IAS #SSYADAV
----------------------------------------------------------
by…
S.S. Yadav
B. Tech (IIT Mandi)
...
https://www.youtube.com/watch?v=-bjL-ftucww
Problem 1.12 IE IRODOV
Problem 1.12
Three points are located at the vertices of an equilateral triangle whose side equals ?. They all start moving simultaneously with velocity ? constant in modulus, with the first point heading continually for the second, the second for the third, and the third for the first. How soon will the points converge?
HC VERMA Chapter 3 Worked Out Example 20
Join us on Facebook: https://www.facebook.com/institutembw
Join us on Instagram: https://www.instagram.com/institutembw/
Join us on LinkedIn: https://www.linkedin.com/company/inst...
Join us on Twitter: https://twitter.com/institutembw
Join us on Telegram: https://t.me/institutembw
Join us on YouTube: https://www.youtube.com/c/institutembw
-----------------------------------------------------------Physics---------------------------------------------------
#Problem1_12 #IE #IRODOV #physical #fundamentals #of #Mechanics #institutembw #mbwinstitute #onlinelearning #epathshala #vidyadaan #jeemains #jeeadvanced #neet #SSYADAV #HCVERMA
Join us on #FILTTY
by…
S.S. Yadav
B. Tech (IIT Mandi)
...
https://www.youtube.com/watch?v=os-yaH376YE