A circuit contains an ideal battery, three resistors and two ideal ammeters. The ammeters read 0.2 amp and 0.3 amp. After two of the resistor are switched (inerchanged) the readings of ammeter do not change. Then

Options

A. If `R_(2)=R_(1), I_(1)=I_(2)=0.15` amp and `I_(3)=0.05` amp
B. If `R_(2)=R_(1),` the battery current is `I=0.20` amp
C. If `R_(2)=R_(3), I_(2)=I_(3)=0.10` amp and `I_(1)=0.20` amp
D. If `R_(2)=R_(3)`, the battery current is `I=0.40` amp

Answer

A, C, D

Explanation

As the ammeters are ideal, so
`R_(eq)=(R_(1)R_(2)R_(3))/(R_(1)R_(2)+R_(2)R_(3)+R_(3)R_(1))`
The readings of two ammeters are different so resistors `R_(1)` and `R_(3)` are different.
If `R_(1)` and `R_(3)` are interchanged. The reading of ammeters will also change.
If `R_(2)=R_(1)` (if `R_(2)` and `R_(1)` switched the reading of the ammeter do not vary) similarly if
`R_(2)=R_(3)` (`R_(2)` and `R_(3)` switched the reading oif ammeters do not change)
If `R_(2)=R_(1),I_(1)=I_(2)=0.15, I_(3)=0.05` and `I=0.35`
If `R_(2)=R_(3), I_(2)=I_(3)=0.10, I_(1)=0.20` and `I=0.40` amp