in the network shown the resistance between two adjacent junction is r. equivalent resistance between points A and B is
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Here the equivalent resistance of each triangle is Req1=(R+R)+R(R+R)R=(2/3)R
Now reduce the side by connecting resistance in series as shown in figure.
Here, Req2=(2/3)R+(2/3)R=(4/3)R
Now the circuit is a balanced Wheatstone bridge. So middle resistor R is not working.
Thus, RAB=[(4/3)R+R]+[(4/3)R+R][(4/3)R+R][(4/3)R+R]=67R
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