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Question

In the figure ammeter reads $$I_1$$ and voltmeter reads $$V_1$$. Similarly in figure 2, ammeter reads $$I_2$$ and voltmeter reads $$V_2$$. Then which of the statements are true?
1135369_65b1c344ef124840b81b89df3ca91bef.png


A
V1>V2 and I1>I2
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B
V1>V2and I1<I2
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C
V1>I1and V2>I2
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D
V1=V2
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Solution

The correct option is B $$V_1>V_2$$and $$I_1<I_2$$
In Fig 1
     $${ V }_{ 1 }={ I }_{ 1 }({ R }_{ 1 }+{ R }_{ 2 })\\ { I }_{ 1 }=\frac { { V }_{ 1 } }{ { R }_{ 1 }+{ R }_{ 2 } } $$

In Fig 2
  $${ V }_{ 2 }={ I }_{ 2 }{ R }_{ 1 }={ I }_{ 2 }{ R }_{ 2 }\\ { I }_{ 2 }=\frac { { V }_{ 2 } }{ { R }_{ 1 } } +\frac { { V }_{ 2 } }{ { R }_{ 2 } } $$
$${ I }_{ 2 }={ V }_{ 2 }\left( \frac { 1 }{ { R }_{ 1 } } +\frac { 1 }{ { R }_{ 2 } }  \right) $$

By equatimg Fig1 value and Fig 2 value 
  $${ V }_{ 1 }>{ V }_{ 2 }$$
And 
 $$I_{ 2 }>{ I }_{ 1 }$$
Option (B) is correct option.

Physics

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