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Say I have a series circuit with 20v and four 65 ohm resistors, what is the current in each resistor?

Say I have a series circuit with 20v and four 65 ohm resistors, what is the current in each resistor? class=

Answer :

dexteright02
Data:

[tex]E = 20 V[/tex]
[tex] R_{1} = 65\Omega[/tex]
[tex] R_{2} = 65\Omega[/tex]
[tex] R_{3} = 65\Omega[/tex]
[tex] R_{4} = 65\Omega[/tex]

Now that we have all the values ​​we need properly identified, simply calculate the equivalent total resistance of the circuit and the intensity of the total electric current using the Ohm's Law:

[tex] R_{T} = R_{1} + R_{2} + R_{3} + R_{4} [/tex]
[tex] R_{T} = 65 + 65 + 65+ 65 [/tex]
[tex] R_{T} = 260\Omega[/tex]

Like this:

[tex] I_{T} = \frac{E}{ R_{T} } [/tex]

[tex]I_{T} = \frac{20}{ 260 }[/tex]
[tex] I_{T} = 0,076923076...[/tex]

[tex]\boxed{\boxed{I_{T} \approx 0,07A}}[/tex] 
Answer:
The intensity of the total electric current 
[tex]\boxed{\boxed{I_{T} \approx 0,07A}}[/tex] 

P.S:. Since the association is in series, the current of 0.07A is the same for all resistors.

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