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Two ideal batteries and two ammeters are...

Two ideal batteries and two ammeters are arranged as shows in Fig. 6.67.

A

Reading of both ammeters can be same if `E gt E_(2)`.

B

Reading of both ammeters can be same if `E_(2) gt E_(1)`
provided `R_(2) gt R_(1)`.

C

Reading of both ammeters can be same if `E_(2) gt E_(1)`
provided `R_(2) lt R_(1)`.

D

If `E_(2) gt e_(1)`, then current in ammeters will flow in opposite directions.

Text Solution

Verified by Experts

The correct Answer is:
A, B, D
By applting kirchhoff's law, we can obtain
`I_(2) = (E_(2))/(R_(2))` and `I_(1) = (E_(1) - E_(2))/(R_(1))`
If `E_(1) gt E_(2)`, `I_(1)` and `I_(2)` can be the same for some value of `R_(1)` and `R_(2)`, hence
(a) is correct.
For (b), If `E_(2) gt E_(1)`, then `I_(1)` will be in the direction opposite to that shows in the figure and magnitude of `I_(1)` will be `I_(1) = (E_(2) - E_(1))//R_(1)`. Now `I_(1)` and `I_(2)` can be same only f `R_(1) lt R_(2)`.
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