### All AP Physics 2 Resources

## Example Questions

### Example Question #1 : Circuits

What is the current through the battery in the above circuit?

**Possible Answers:**

**Correct answer:**

First, find the total resistance of the circuit. Since the resistors are in parallel, use the following formula:

Plug in known values.

Next, use Ohm's law to find current.

Plug in known values.

### Example Question #1 : Circuits

There are 3 resistors in series. Their resistances are, in order, , , and . The total potential drop is . What is the potential drop across the second resistor?

**Possible Answers:**

**Correct answer:**

Use Ohm's law to find the current passing through each resistor. Because they are in series, they have the same amount of current. Once we get the current, we can plug in the resistance for each resistor to find its potential drop.

Now, find the potential drop across the resistor.

Therefore, the potential drop across the resistor is

### Example Question #1 : Circuits

A battery produces a current of in a piece of copper wire. What is the resistance of the copper wire?

**Possible Answers:**

There's not enough information to find the resistance

**Correct answer:**

Even though there is no resistor, Ohm's law still applies. Use it to find the resistance of the wire.

The resistance of the copper wire is

### Example Question #1 : Circuits

In the circuit above, find the voltage drop across .

**Possible Answers:**

None of these

**Correct answer:**

First, find the total resistance of the circuit.

and are in parallel, so we find the equivalent resistance by using the following formula:

Next, add the series resistors together.

Use Ohm's law to find the current through the system.

Since and are in parallel, they will have the same voltage drop accross them.

### Example Question #1 : Circuits

In the circuit above, find the current through .

**Possible Answers:**

None of these

**Correct answer:**

First, find the total resistance of the circuit.

and are in parallel, so we find their equivalent resistance by using the following formula:

Next, add the series resistors together.

Use Ohm's law to find the current in the system.

The current through and needs to add up to the total current, since they are in parallel.

Also, the voltage drop across them need to be equal, since they are in parallel.

Set up a system of equations.

Solve.

### Example Question #1 : Ohm's Law

In the circuit above, find the current through .

**Possible Answers:**

None of these

**Correct answer:**

First, find the total resistance of the circuit.

and are in parallel, so we find their equivalent resistance by using the following formula:

Next, add the series resistors together.

Use Ohm's law to find the current in the system.

In series, all resistors will have the same current.

Thus, the current through is the same as through the rest of the circuit.

### Example Question #1 : Circuits

In the circuit above, find the voltage drop across .

**Possible Answers:**

None of these

**Correct answer:**

First, find the total resistance of the circuit.

and are in parallel, so we find their equivalent resistance by using the following formula:

Next, add the series resistors together.

Use Ohm's law to find the current in the system.

and will have the same voltage drop across them, as they are in parallel, and are equivalent to the combined resistor

### Example Question #1 : Circuits

In the circuit above, find the voltage drop across .

**Possible Answers:**

None of these

**Correct answer:**

First, find the total resistance of the circuit.

and are in parallel, so we find their equivalent resistance by using the following formula:

Next, add the series resistors together.

Use Ohm's law to find the current in the system.

and will have the same voltage drop across them, as they are in parallel, and are equivalent to the combined resistor

### Example Question #1 : Circuits

What is the total resistance of the circuit?

**Possible Answers:**

None of these

**Correct answer:**

, , and are in parallel, so we add them by using:

We find that

, , and are in series. So we use:

### Example Question #1 : Ohm's Law

What is the current flowing through ?

**Possible Answers:**

None of these

**Correct answer:**

, , and are in parallel, so we add them by using:

We find that

, , and are in series. So we use:

First, we need to find the total current of the circuit, we simply use:

Because , and are in parallel,

Also, the voltage drop must be the same across all three

Using

Using algebraic subsitution we get:

Solving for

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