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(i) Calculate the equivalent resistance of the given electrical network between points A and B. (ii) Also calculate the current through CD and ACB, if a 10 V d.c. source is connected between A and B and the value of R is assumed as 2Omega. |
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Answer» Solution :(i) The circuit network can be REDRAWN as shown in Fig. The network is a balanced Wheatstone.sbridge and hence resistance of branch CD does not allow flow of CURRENT and is useless. ` therefore ` Resistance of branch FCE = R+R=2R and resistance of branch FDE = R + R=2R ` therefore` Equivalent resistance between A and B `R_(eq)= (2R xx 2R)/(2R + 2R)` = R (ii)If `R = 2OMEGA` then `R_(eq) = 2Omega` No current FLOWS through CD in balanced CONDITION of bridge. Current in arm AFCEB=`(V)/(2R) = (10V)/((2 xx 2) Omega) = 2.5A` |
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