Question

voltage of the same value.
a lab scope will display the peak values of the ac voltage sine wave, but a multimeter measures the effective value of that same ac voltage.
the effective value of an ac voltage is 70.7% of the peak value. the effective value is calculated by multiplying the peak value by 0.707. this is also called the root mean square or rms voltage of a sinusoidal waveform.
assess each of the following statements:
a multimeter is used to measure the effective value.
an ac voltage with a peak value of 12 v has the same effect as a dc voltage of 12 v.
an ac voltage with an effective value of 12 v has the same effect as a dc voltage of 12 v.

Explanation:

Step1: Evaluate Statement 1

From the text: "a multimeter measures the effective value of that same AC voltage." So this statement is True.

Step2: Evaluate Statement 2

Effective value = Peak value $\times 0.707$. For 12 V peak: $\text{Effective Value} = 12 \times 0.707 = 8.484$ V. This is not equal to 12 V DC, so the statement is False.

Step3: Evaluate Statement 3

The text states: "effective value of an AC voltage... has the same effect as a DC voltage of the same value." So 12 V effective AC = 12 V DC effect, this statement is True.

Answer:

1. A multimeter is used to measure the effective value. - True
2. An AC voltage with a peak value of 12 V has the same effect as a DC voltage of 12 V. - False
3. An AC voltage with an effective value of 12 V has the same effect as a DC voltage of 12 V. - True