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CBSE Class 12-science Answered

two cells of voltage 10 v and 2 v and internal resistances of 10ohm and 5 ohm respectively, are connected in parallel with positive end of 10v battery connected to negative pole of 2v battery.find the effective voltage and effective internal resistance of the combination.
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Asked by my3shyll | 24 Sep, 2018, 07:33: PM
answered-by-expert Expert Answer
 
                                     (1) 
 
Applying to Kirchoff's voltage law,
 
For loop A-B-D-E-A we get,
 
-RI -10I + 10 = 0
 
→ 10 = RI +10I1  ...(1)
 
Applying Kirchoff's voltage law for loop F-A-B-C-F,
-2 - RI + 5 I2 = 0
 
→5 I2 - RI = 2 ...(2)
 
We know, 
 
by Kirchoff's current law,
I1 = I + I2 
→ I2 = I1 - I 
 
Substituting it in equation (2),
 
5 (I1 - I) - RI = 2 ... (3) 
multiplying equation (3) by '2'
 
10I1 - 10I- 2 IR = 4 ...(4)
 
Subtracting equation (4) from (1),
 
             RI +10I1       = 10
- ]      10I1 - 10I- 2 IR = 4
         (-)    (+)    (+)         
           3RI + 10 I = 6      ...(5)
 
Equation (5) can be written as, 
2 space equals space I R space plus space 10 over 3 I space rightwards double arrow space 2 space equals open parentheses space R space plus space 10 over 3 close parentheses space I space... left parenthesis 6 right parenthesis
 
By Ohm's law,
Veff= I (R + Reff)
 Comparing thios equation with (6),
 
Veff= 2 Volt and Reff = 10/3 = 3.33 Ω
 
The equivalent circuit for figure (1) is,
 
 

Answered by Shiwani Sawant | 27 Sep, 2018, 01:09: PM

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two cells of voltage 10 v and 2 v and internal resistances of 10ohm and 5 ohm respectively, are connected in parallel with positive end of 10v battery connected to negative pole of 2v battery.find the effective voltage and effective internal resistance of the combination.
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Asked by my3shyll | 24 Sep, 2018, 07:33: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
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