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Question

The reading of the ammeter is

158056.png

A
0.5 A
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B
2.25 A
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C
1.5 A
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D
0.1 A
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Solution

The correct option is A 2.25 A
The current distributions among the resistors is shown in figure.
Here, I1=4.59=0.5A
As resistor (9,3) and 6 are in parallel so potential across 9+ (potential across 3= potential across 3)
4.5+3I1=6I2 or 4.5+3(0.5)=6I2
or I2=4.5+1.56=1A
So, I=I1+I2=0.5+1=1.5A
Equivalent resistance between C and D is Rcd=(1/10+1/12+1/15)1=4Ω
Potential across C and D is Vcd=IRcd=1.5×4=6V
Potential across A and D is
Vad=Vab+Vbc+Vcd=6I2+2I+6=6(1)+2(1.5)+6=6+3+6=15V
This will be the potential across 20Ω as well as the voltmeter because 20Ω is connected in parallel across total resistance across A and D.
Thus , I4=1520=0.75A
Reading in the ammeter =I+I4=1.5+0.75=2.25A
258616_158064_ans.png

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