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Byju's Answer
Standard XII
Physics
Kirchhoff's Junction Law
In the given ...
Question
In the given circuit the current
I
is
A
0.4
A
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B
−
0.4
A
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C
0.8
A
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D
−
0.8
A
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Open in App
Solution
The correct option is
B
−
0.4
A
The circuit can be simplified as follows
Applying
K
C
L
at junction
A
i
3
=
i
1
+
i
2
...(i)
Applying Kirchhoff's voltage law for the loop
A
B
C
D
A
−
30
i
1
−
40
i
3
+
40
=
0
⇒
−
30
i
1
−
40
(
i
1
+
i
2
)
+
40
=
0
⇒
7
i
1
+
4
i
2
=
4
......(iii)
Applying Kirchhoff's voltage law for the loop
A
D
E
F
A
.
−
40
i
2
−
40
i
3
+
80
+
40
=
0
⇒
−
40
i
2
−
40
(
i
1
+
i
2
)
=
−
120
⇒
i
1
+
2
i
2
=
3
.....(iii)
On solving equation (ii) and (iii)
i
1
=
−
0.4
A
.
Suggest Corrections
0
Similar questions
Q.
To study the dependence of current (I) on the potential difference (V) across a resistor, the following observations were made by four students A, B, C and D.
Student
Reading No. 1
Reading No. 2
Reading No. 3
A
V = 0.5 V
I = 0.1 A
V = 1.0 V
I = 0.2 A
V = 1.5 V
I = 0.3 A
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V = 0.8 V
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C
V = 1.0 V
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D
V = 2.4 V
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V = 2.7 V
I = 0.9 A
V = 3.0 V
I = 1.0 A
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