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In a parallel circuit with a 12 V battery and three 6 Ohm resistors, what is the total current in the entire circuit? Select one:a.36 Ampsb.6 Ampsc.4 Ampsd.2 Amps

User Ruuhkis
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1 Answer

21 votes
21 votes

First, let's find the equivalent resistance. Since they are in parallel, we can find it as follows:


\begin{gathered} (1)/(R_(eq))=(1)/(R1)+(1)/(R2)+(1)/(R3) \\ so: \\ (1)/(R_(eq))=(1)/(6)+(1)/(6)+(1)/(6)=(1)/(2) \\ Hence: \\ R_(eq)=2\Omega \end{gathered}

Now, we can use ohm's law to calculate the current:


\begin{gathered} V=IR \\ so: \\ I=(V)/(R)=(12)/(2)=6 \end{gathered}

Answer:

b.

6 Amps

User Changbin Du
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