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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=

Verified Answer :

Data:

\(E = 20 V\)
\(R_{1} = 65\Omega\)
\(R_{2} = 65\Omega\)
\(R_{3} = 65\Omega\)
\(R_{4} = 65\Omega\)

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:

\(R_{T} = R_{1} + R_{2} + R_{3} + R_{4}\)
\(R_{T} = 65 + 65 + 65+ 65\)
\(R_{T} = 260\Omega\)

Like this:

\(I_{T} = \frac{E}{ R_{T} }\)

\(I_{T} = \frac{20}{ 260 }\)
\(I_{T} = 0,076923076...\)

\(\boxed{\boxed{I_{T} \approx 0,07A}}\) 
Answer:
The intensity of the total electric current 
\(\boxed{\boxed{I_{T} \approx 0,07A}}\) 

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