two coils have an effective resistance 16ohm when connected in series and 3.75 ohm when connected in parallel. find individual resistance
Answers
Answer:
individual resistance in 10.2
Explanation:
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Answer :
The individual resistance of the two coils is R1 = 8 ohm and R2 = 8 ohm.
Explanation :
Let's call the resistance of the first coil R1 and the resistance of the second coil R2.
When the two coils are connected in series, the effective resistance is 16 ohm:
R1 + R2 = 16 ohm
When the two coils are connected in parallel, the effective resistance is 3.75 ohm:
1/R = 1/R1 + 1/R2
From the first equation, we can solve for the value of R1:
R1 = 16 ohm - R2
Substituting this into the second equation, we get:
1/R = 1/(16 ohm - R2) + 1/R2
Solving for R2, we get:
R2 = 8 ohm
And using this value, we can find the value of R1:
R1 = 16 ohm - R2 = 16 ohm - 8 ohm = 8 ohm
So the individual resistance of the two coils is R1 = 8 ohm and R2 = 8 ohm.
To know more about the concept please go through the links :
https://brainly.in/question/8306325
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