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ICSE Class 10 Physics 2015 Paper

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A cell of Emf 2 V2\ \mathrm{V} and internal resistance 1.2 Ω1.2\ \Omega is connected with an ammeter of resistance 0.8 Ω0.8\ \Omega and two resistors of 4.5 Ω4.5\ \Omega and 9 Ω9\ \Omega as shown in the diagram below :
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Question : 59 of 74
Marks: +1, -0
What would be the reading on the Ammeter?
Solution:  
Given : E=2V,r=1.2Ω,R=E = 2 V, r = 1.2 \Omega, R = (external resistance)
Let 4.5Ω4.5 \Omega and 9Ω9 \Omega connected in parallel, then equivalent resistance
    1Rp=  14⋅5+  19\; \;\frac{1}{R_p} = \;\frac{1}{4 \cdot 5} + \;\frac{1}{9}
    1Rp=  2+19=  39=  13\; \;\frac{1}{R_p} = \;\frac{2+1}{9} = \;\frac{3}{9} = \;\frac{1}{3}
  Rp=3Ω\; R_p = 3 \Omega
Now 0.8Ω0.8 \Omega and RpR_p resistance in series, then total resistance
R=3+0.8+1⋅2Ω=5ΩR = 3 + 0.8 + 1 \cdot 2 \Omega = 5 \Omega
Current in the ammeter
I  =     Total e.m.f.      Total resistance   I \; = \; \frac{ \; \text{ Total e.m.f. } \; }{ \; \text{ Total resistance } \; }
  =  25=0.4A\; = \; \frac{2}{5} = 0.4 A
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