calculate the efective resistance of the give circuit
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Explanation:
In the given circuit, calculate the
(i) Effective resistance between A and B
(ii) Current through the circuit and
(iii)Current through 3Ω resistor.
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ANSWER
(i) Finding effective resistance between A and B
(ii) Current through the circuit (I)
(iii) Current through 3ω resistor
(i) Equivalent resistance=
12+8
12×8
+
12
12×8
=
12+8
12×8
+
4+6
4×6
=
20
12×8
+
10
4×6
=
5
12×2
+
5
2×6
=
5
24
+
5
12
=
5
24
ω
5
24
1
+
3
1
+
3
1
=
24
5
+
3
1
+
3
1
=
24
5+8+8
=
24
21
∴R
1
=
21
24
=1.14ω
(ii) Current through the circuit
I=
1.14
12
=10.52A
(iii) Current through 3ω resistor
I
1
=
3
12
=4A
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