what is the current through 20 ohm resistor
Answers
Answer:
20 amp /percent answer
The current through 20 ohm resistor is 0.72 A
Given : The circuit in the attached diagram.
To find : The current through 20 ohm resistor.
Solution :
We can simply solve this numerical problem by using the following process. (our goal is to calculate the the current through 20 ohm resistor)
First of all, we will figure out the equivalent circuit.
So,
The equivalent resistance (R eq) = 10 + [{(10+20) × (10+10)}/{(10+20) + (10+10)}] = 22 ohm
Total current (I) = Voltage / R eq = (40/22) = 1.8 A
Now, we have to apply the current division rule.
So,
Current through 20 ohm :
= Main current × [(opposite branch resistance)/(current branch resistance + opposite branch resistance)]
= 1.8 × [(10+10)/(10+20+10+10)]
= 0.72 A
(This will be considered as the final result.)
Hence, current through 20 ohm resistor is 0.72 A
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