Question

question 8 (1 point)
when resistors are connected in series,

the same power is dissipated in each one.

the potential difference across each is the same.

the current flowing in each is the same.

more than one of the given answers is true.

Explanation:

To solve this, we recall the properties of series - connected resistors:

1. For power dissipation: The power dissipated in a resistor is given by \(P = I^{2}R\) (or \(P=VI\) or \(P=\frac{V^{2}}{R}\)). In a series circuit, the current \(I\) is the same through each resistor, but the resistance \(R\) of each resistor can be different. So, \(P = I^{2}R\) will be different for resistors with different resistances. Thus, the same power is not necessarily dissipated in each resistor.
2. For potential difference: The potential difference (voltage) across a resistor is given by \(V = IR\). Since the current \(I\) is the same in series, but the resistance \(R\) of each resistor can be different, the potential difference across each resistor (\(V = IR\)) will be different for resistors with different resistances.
3. For current: In a series circuit, the current has only one path to flow. So, the current flowing through each resistor in a series connection is the same.

Answer:

C. the current flowing in each is the same.