Question:
The currents in different parts of the electric circuit are shown in following figure. The value of current \(i\) is
The currents in different parts of the electric circuit are shown in following figure. The value of current \(i\) is
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Current entering a junction equals current leaving it.
Updated On: Oct 1, 2026
- \(0.7\) A
- \(1.4\) A
- \(2.1\) A
- \(2.8\) A
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The Correct Option is C
Solution and Explanation
Step 1: Understanding the Concept
Kirchhoff's current law says that the total current flowing into a junction equals the total current flowing out of it.
Step 2: Current entering
Two wires bring 2 A and 3 A into the first junction, so a total of 5 A flows along the main wire.
Step 3: First split
A branch of 1 A leaves, so the remaining current in the main wire is \(5-1=4\) A.
Step 4: Second junction
This 4 A divides into 0.6 A, 1.3 A and the unknown \(i\):
\[ 4=0.6+1.3+i \]
\[ i=4-1.9=2.1\ \text{A} \]
Step 5: Conclusion
The current is 2.1 A, option (C).
Final Answer:
The currents in total are 5 A and the known outflows are 2.9 A, so i = 2.1 A, option (C). \[ \boxed{2.1\ \text{A}} \]
Kirchhoff's current law says that the total current flowing into a junction equals the total current flowing out of it.
Step 2: Current entering
Two wires bring 2 A and 3 A into the first junction, so a total of 5 A flows along the main wire.
Step 3: First split
A branch of 1 A leaves, so the remaining current in the main wire is \(5-1=4\) A.
Step 4: Second junction
This 4 A divides into 0.6 A, 1.3 A and the unknown \(i\):
\[ 4=0.6+1.3+i \]
\[ i=4-1.9=2.1\ \text{A} \]
Step 5: Conclusion
The current is 2.1 A, option (C).
Final Answer:
The currents in total are 5 A and the known outflows are 2.9 A, so i = 2.1 A, option (C). \[ \boxed{2.1\ \text{A}} \]
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