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A circuit contains an ideal battery , th...

A circuit contains an ideal battery , three resistors, and tow ideal ammeters. The ammeters read 0.2 A and 0.3 A. After two of the resistors are switched, the readings of the ammeters did not change. Find the battery current.

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

Text Solution

Verified by Experts

The correct Answer is:
A, C, D
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
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