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In the circuit shown in figure the readi...

In the circuit shown in figure the reading of ammeter is the same with both switches open as with both closed. Then find the resistance `R`. (ammeter is ideal).

Text Solution

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With the switches open, current through the ammeter `i_1=1.5/(100+50+300)=10/3mA`
With both switches closed, there is no current through `50 Omega`
Now, current through the battery `i=1.5/(300+100+R)`
And, the current through the ammeter`i_2=(R/(R+100))i` Solving we get `R=600Omega`
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