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Question : 16
Total: 26
A cell of emf ' E ' and internal resistance ' r ' is connected across a variable load resistor R . Draw the plots of the terminal voltage V versus (i) R and (ii) the current I .
It is found that whenR = 4 Ω , the current is 1 A and when R is increased to 9 Ω , the current reduces to 0.5 A . Find the values of the emf E and internal resistance r .
It is found that when
Solution:
Drawing of Plots of Part (i) & (ii)
Finding the values of emf and internal resistance
(i)
(ii)
(If the student just writes the relationsV = ε − I R and V =
but does not draw the plots, award mark.)
I =
I =
⇒ E = 4 + r ......(i)
Also, 0.5 =
E = 4.5 + 0.5 r ......(ii)
From equation (i) & (ii)
4 + r = 4.5 + 0.5 r
∴ r = 1 Ω
Using this value ofr , we get
E = 5 V
Finding the values of emf and internal resistance
(i)
(ii)
(If the student just writes the relations
From equation (i) & (ii)
Using this value of
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