Which of the following statements are correct about the circuits shown in the figure where 1 - and 0-5 - are internal resistances of the 6 V and 12 V batteries respectivelyA- The potential at point P is 6 VB- The potential at point Q is -0-5 VC- If a voltmeter is connected across the 6 V battery- it will read 7 VD- If a voltmeter is connected across the 6 V battery- it will read 5 V

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Which of the ...

Question

Which of the following statements are correct about the circuits shown in the figure where 1 $Ω$ and 0.5 $Ω$ are internal resistances of the 6 V and 12 V batteries respectively

The potential at point P is 6 V

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The potential at point Q is – 0.5 V

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If a voltmeter is connected across the 6 V battery, it will read 7 V

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If a voltmeter is connected across the 6 V battery, it will read 5 V

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Solution

The correct options are
B The potential at point Q is – 0.5 V
C If a voltmeter is connected across the 6 V battery, it will read 7 V
$i = \frac{12 - 6}{4.5 + 1.5} = 1 A$

$V_{P} = 4 \times 1 = 4 V$

$V_{Q} = - 0.5 \times$ 1 = -0.5 V

V $across 6 V = 6 + i \times 1$

6+1 $\times 1$ = 7 V

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Which of the following statements are correct about the circuits shown in the figure where 1Ω and 0.5Ω are internal resistances of the 6 V and 12 V batteries respectively

The correct options are B The potential at point Q is – 0.5 V C If a voltmeter is connected across the 6 V battery, it will read 7 Vi=12−64.5+1.5=1 A VP=4×1=4V VQ=−0.5× 1 = -0.5 V V across 6 V=6+i×1 6+1 ×1 = 7 V

Which of the following statements are correct about the circuits shown in the figure where 1 $Ω$ and 0.5 $Ω$ are internal resistances of the 6 V and 12 V batteries respectively

The correct options are
B The potential at point Q is – 0.5 V
C If a voltmeter is connected across the 6 V battery, it will read 7 V
$i = \frac{12 - 6}{4.5 + 1.5} = 1 A$

$V_{P} = 4 \times 1 = 4 V$

$V_{Q} = - 0.5 \times$ 1 = -0.5 V

V $across 6 V = 6 + i \times 1$

6+1 $\times 1$ = 7 V