Question

# In a circuit shown in the figure, what will be the reading of voltmeter $$V_3$$ and ammeter it a.c. source of $$300 \mathrm { V }$$ and $$50 \mathrm { Hz }$$ is connected.

A
800V,3A
B
300V,3A
C
200V,2A
D
100V,2A

Solution

## The correct option is B $$300 \mathrm { V } , 3 \mathrm { A }$$Given, Voltage across inductance and capacitance are same as source voltage  when Source voltage will be connected to $$200V$$ then    $${ V }_{ 3 }=\sqrt { { V }^{ 2 }-{ \left( { V }_{ 1 }-{ V }_{ 2 } \right) }^{ 2 } } \\ \quad \quad =\sqrt { { 300 }^{ 2 }-{ \left( 300-300 \right) }^{ 2 } } \\ \quad \quad =300V$$  $$I=\dfrac { V }{ R } =\dfrac { 300 }{ 100 } =3A$$Correct option is BPhysicsNCERTStandard XII

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