A) 0.4 A
B) ? 0.4 A
C) 0.8 A
D) ? 0.8 A
Correct Answer: B
Solution :
The circuit can be simplified as follows Applying KCL at junction A \[{{i}_{3}}={{i}_{1}}+{{i}_{2}}\] .?.(i) Applying Kirchoff?s voltage law for the loop ABCDA \[-30{{i}_{1}}-40{{i}_{3}}+40=0\] \[\Rightarrow \,\,\,\,\,\,-30{{i}_{1}}-40({{i}_{1}}+{{i}_{2}})+40=0\] \[\Rightarrow \,\,\,\,\,\,\,7{{i}_{1}}+4{{i}_{2}}=4\] .?.(ii) Applying Kirchoff?s voltage law for the loop ADEFA. \[-40{{i}_{2}}-40{{i}_{3}}+80+40=0\] \[\Rightarrow \,\,\,\,\,-40{{i}_{2}}-40({{i}_{1}}+{{i}_{2}})=-120\] \[\Rightarrow \,\,\,\,\,\,{{i}_{1}}+2{{i}_{2}}=3\,\] ??.(iii) On solving equation (ii) and (iii) \[{{i}_{1}}=-0.4A\].You need to login to perform this action.
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