please help guys. the current through 80 ohm resistance is ?
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Given:
A circuit diagram.
To find:
The current through 80 ohm resistance is ?
Solution:
From given, we have,
A circuit diagram.
The resistors 80 Ω and 80 Ω are in parallel.
1/Rp = 1/80 + 1/80 = 2/80 = 1/40 Ω
Rp = 40 Ω
Now 40 Ω and 20 Ω are in series.
Rs = 40 + 20 = 60 Ω
Now 60 Ω, 60 Ω and 30 Ω are in parallel.
1/Rp = 1/60 + 1/60 + 1/30
1/Rp = 2/60 + 1/30
1/Rp = 1/30 + 1/30 = 2/30
Rp = 30/2
Rp = 15 Ω
Now 10 Ω, 15 Ω and 5 Ω are in series.
Rs = 10 + 15 + 5 = 30 Ω
Therefore, the total resistance of the circuit is 30 Ω.
The current through the circuit is given by,
I = V/R
I = 60/30
I = 2 A
Therefore, the current through 80 ohm resistance is 2A
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