MCAT Physical : Circuits

Study concepts, example questions & explanations for MCAT Physical

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Example Questions

Example Question #142 : Electricity

What is the current in a circuit with a \displaystyle 2\Omega resistor followed by a \displaystyle 3\Omega resistor that are both in parallel with a \displaystyle 5\Omega resistor? The voltage supplied to the circuit is 5V.

Possible Answers:

\displaystyle 2A

\displaystyle 0.25A

\displaystyle 5A

\displaystyle 1A

\displaystyle 1.5A

Correct answer:

\displaystyle 2A

Explanation:

Resistors in serries add according to the formula:

\displaystyle R_{f}=R_{1}+R_{2}

Resistors in parallel add according to the formula:

\displaystyle \frac{1}{R_{f}}=\frac{1}R_{1}{}+\frac{1}{R_{2}}

We can find the total equivalent resistance:

\displaystyle \frac{1}{R_{f}}=\frac{1}{2+3}+\frac{1}{5}=\frac{2}{5}

\displaystyle R_f=2.5\Omega

Now we can use Ohm's law to find the current:

\displaystyle V=IR

\displaystyle I=\frac{V}{R}

Solve: 

\displaystyle I = \frac{5 V}{2.5 \Omega }=2 A

 

Example Question #61 : Circuits

\displaystyle \small 12V battery supplies power to a circuit with a current of \displaystyle \small 16A. What is the resistance in this circuit?

Possible Answers:

\displaystyle 0.75\Omega

\displaystyle 1.33\Omega

\displaystyle 9\Omega

\displaystyle 192\Omega

\displaystyle 12\Omega

Correct answer:

\displaystyle 0.75\Omega

Explanation:

To find resistance from voltage and current, we will need to use Ohm's law:

\displaystyle V=IR

\displaystyle R= \frac{V}{I}

We are given the voltage and current, allowing us to solve for the resistance.

\displaystyle R = \frac{12V}{16A} = 0.75\Omega

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