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For the network shown in figure Det...

For the network shown in figure

Determine the value of R and the current through it, if the current through the branch AO is zero.

Text Solution

Verified by Experts

Since no current flows through arm Ao, so the bridge fomerd by resistance `2 Oemga, 2.5 Omega, 4 Omega` and R will form a balanced Wheatstone bridge.
So, `2/2.5 = 4/R or R =( 4xx2.5)/2= 5 Omega`
The equivalent resistance `R_(eq)` of the network between B and C is
`R_(eq) = ((2+2.5 ) xx (4+5))/((2 +2.5) + (4+5)) + 2 = 3 +2 = 5 Omega`
Current in the circuit, `I=10/5 = 2A`
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