In the circuit shown below, all the three voltmeters are identical and have very high resistance. Each resistor has the same resistance The voltage of the ideal battery shown is 9 V Find the reading of voltmeter V_(3) (in volts)

In the circuit shown below, all the three voltmeters are identical and

1.	In the circuit shown below, all the three voltmeters are identical and have very high resistance. Each resistor has the same resistance The voltage of the ideal battery shown is 9 V Find the reading of voltmeter V_(3) (in volts)
Answer» Solution :Taking potential at A to be zero potential at `B=3V` and potential at B'=3V and potential at C=6V so reading of `V_(3)=3V` LET `V_(D)` be potential of point D then sum of charged reaching point D is zero `(V_(B)-V_(D))/R_(v_2)+(V_(B')-V_(D))/R_(v_(1))+((V_(C)-V_(D)))/R_(v_(3))=0[R_(v_(1))-R_(v_(1))=R_(v_(3))=R]` Rightarrow`(3-V_(D))/R+(3-V_(D))/R+(6-V_(D))/R=0` `Rightarrow 12-3V_(D)=0,V_(D)=4` volts reading of `V_(3)=2` volts

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In the circuit shown below, all the three voltmeters are identical and have very high resistance. Each resistor has the same resistance The voltage of the ideal battery shown is 9 V Find the reading of voltmeter V_(3) (in volts)

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