Question

Find the charge on 2ohm

Answer 1

Answer: Current in 2 ohm is 8/3A

Explanation:

• 2 ohm and 1 ohm at the farthest right are in series

Hence, Resistance = R1 + R2 =  (2 + 1) ohm = 3 oh..m

• Then, 3 ohm and 6 ohm are in parallel

Hence, Resistance = 1/R1 + 1/R2 = (R1R2)/(R1 + R2) = 3*6/3+6 = 18/9 = 2 ohm

• Now, 2 ohm and 4 ohm are in series

Hence, Resistance = R1 + R2 = (2+4) ohm = 6 ohm

• Again, 6 ohm and 3 ohm are in parallel

Hence, Resistance = 1/R1 + 1/R2 = (R1R2)/(R1 + R2) = 3*6/3+6 = 18/9 = 2 ohm

• Now, 2 ohm, 4 ohm, 4 ohm are in series

Hence, Resistance = R1 + R2 + R3 = (4 + 2 + 4) ohm = 10 ohm

• Hence, equivalent resistance is 10 ohm.

Now, we know that: V = I * R

120 = I * 10

I = 12 A

• Hence, total current is 12 A

Now, reversing the solution:

Current in 2 ohm, 4 ohm, 4 ohm are in series is equal = 12A

Current in 6 ohm and 3 ohm are in parallel is divided in the ratio = 3 : 6 respectively. Hence, current in 6 ohm is 4A and current in 3 ohm is 8A

Current in 2 ohm and 4 ohm in series is equal = 4A (same as in 6 ohm)

Current in 3 ohm and 6 ohm in parallel is divided in the ratio 6 : 3 Hence, current in 3 ohm is 8/3A and current in 6 ohm is 4/3A

Current in 2 ohm and 1 ohm in series is equal = 8/3A (same as in 3 ohm)

• Hence, current in 2 ohm (farthest right) is 8/3A

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