1.

A 10 V cells of negligible internal resistance is connected in parallel across a battery of emf 200 V and internal resistance 38Q . As shown in the figures , Find the value of current in the circuit In a potentiometer arrangement for determining the emf . of a cell the balance point of the cell in open circuit is 350 cm. When a resistance of 9Q . is used in the external circuit of the cells the balance point shift to 300 cm. Determine the internal resistance of the cell.

Answer»

Solution :Writing the equation
FINDING the current
By Kirchoffs law , we have ,for the LOOP ABCD
`+ 200 -38i -1 (0) =0 `
` therefore I =( 190 )/( 38 ) A = 5A `
` (##DBT_SM_PHY_XII_DL_18_E02_002_S01.png" width="80%">
Finding the Net emf
Stating that `I= (V)/® `
Calculating
The two cells being in opposition
` therefore ` net emf = ` ( 200 -10 ) V = 190 V `
Now `I= (V) /(R) `
[Note : some students may use the formule]
` ( in )/( r) =( in _ 1) /( r_1) +(in _2) /(r_2) ` and
` "" r=( r_1r_2)//( r_1+ r_2)`
For two cells connected in parallel they may then say that ` r=0`
` in ` is indeterminate and hence
I is also indeterminate
Award full marks (2) to students giving
This line of REASONING


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