KCET · Physics · Current Electricity
In the figure, the values of currents \(I_1, I_2\) and \(I_3\) respectively are
- A \(6\) A, \(1.5\) A and \(1\) A
- B \(4\) A, \(2.5\) A and \(2\) A
- C \(4\) A, \(2.5\) A and \(1\) A
- D \(6\) A, \(4.5\) A and \(1.5\) A
Answer & Solution
Correct Answer
(C) \(4\) A, \(2.5\) A and \(1\) A
Step-by-step Solution
Detailed explanation
Applying Kirchhoff's Current Law (KCL) at the first junction, the total current entering the junction must equal the total current leaving it:
\(5 = 1 + I_1\)
\(\Rightarrow I_1 = 5 - 1 = 4 \text{ A}\)
Applying KCL at the second junction:
\(I_1 = 1.5 + I_2\)
\(\Rightarrow 4 = 1.5 + I_2\)
\(\Rightarrow I_2 = 4 - 1.5 = 2.5 \text{ A}\)
Applying KCL at the third junction:
\(I_2 = 1.5 + I_3\)
\(\Rightarrow 2.5 = 1.5 + I_3\)
\(\Rightarrow I_3 = 2.5 - 1.5 = 1 \text{ A}\)
Therefore, the values of \(I_1, I_2\) and \(I_3\) are \(4 \text{ A}, 2.5 \text{ A}\) and \(1 \text{ A}\) respectively.
Answer: \(4\) A, \(2.5\) A and \(1\) A
\(5 = 1 + I_1\)
\(\Rightarrow I_1 = 5 - 1 = 4 \text{ A}\)
Applying KCL at the second junction:
\(I_1 = 1.5 + I_2\)
\(\Rightarrow 4 = 1.5 + I_2\)
\(\Rightarrow I_2 = 4 - 1.5 = 2.5 \text{ A}\)
Applying KCL at the third junction:
\(I_2 = 1.5 + I_3\)
\(\Rightarrow 2.5 = 1.5 + I_3\)
\(\Rightarrow I_3 = 2.5 - 1.5 = 1 \text{ A}\)
Therefore, the values of \(I_1, I_2\) and \(I_3\) are \(4 \text{ A}, 2.5 \text{ A}\) and \(1 \text{ A}\) respectively.
Answer: \(4\) A, \(2.5\) A and \(1\) A
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