What is the possible value of i2
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Let the potential drop across 10Ω, 15Ω or 30Ω be V.
Thus current flowing through 10Ω, I
1
=V/10
Similarly, current flowing through 15Ω, I
1
=V/15
Similarly, current flowing through 30Ω, I
1
=V/30
∴ I
1
:I
2
:I
3
=
10
V
:
15
V
:
30
V
=3:2:1
⟹ I
1
=1.5I
2
and I
3
=0.5I
2
But I
1
+I
2
+I
3
=1.2
∴ 1.5I
2
+I
2
+0.5I
2
=1.2
⟹ I
2
=
3
1.2
=0
Thus current flowing through 10Ω, I
1
=V/10
Similarly, current flowing through 15Ω, I
1
=V/15
Similarly, current flowing through 30Ω, I
1
=V/30
∴ I
1
:I
2
:I
3
=
10
V
:
15
V
:
30
V
=3:2:1
⟹ I
1
=1.5I
2
and I
3
=0.5I
2
But I
1
+I
2
+I
3
=1.2
∴ 1.5I
2
+I
2
+0.5I
2
=1.2
⟹ I
2
=
3
1.2
=0
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