正在学习

6.12 Values of Sinusoidal Alternating Current

练习题

For a sinusoidal alternating current with peak value $I_{m} = 10 A$ , what is the RMS (effective) value?

10 A

7.07 A

6.37 A

5 A

The average value of a sinusoidal alternating current over one complete cycle is:

\frac{2 I _{m}}{π}

\frac{I _{m}}{2}

C. Zero

I_{m}

A sinusoidal voltage has an RMS value of $120 V$ . What is its peak-to-peak value?

120 V

170 V

240 V

340 V

Which of the following statements about sinusoidal alternating current values are correct?

A. The RMS value is also called the effective value

B. The form factor for a sine wave equals

\frac{π}{2 2} \approx 1.11

C. The peak factor (crest factor) for a sine wave equals

2

D. The average value over a half-cycle equals the RMS value

Select all values that can be used to characterize a sinusoidal alternating current waveform:

A. Instantaneous value

i (t) = I_{m} sin (ω t)

B. Peak value

I_{m}

C. RMS value

I_{R M S}

D. Average value over half-cycle

The RMS value of a sinusoidal alternating current produces the same heating effect in a resistor as a DC current of the same value.

For a sinusoidal waveform, the peak-to-peak value equals $2$ times the RMS value.

The average value of a sinusoidal current over a half-cycle is $\frac{2 I _{m}}{π}$ , which equals approximately $0.637 I_{m}$ .

The RMS value of a sinusoidal alternating current is related to its peak value $I_{m}$ by the formula: $I_{RMS} = \frac{I_m}{___}$ .

The form factor of a sinusoidal waveform is defined as the ratio of the ___ value to the average value.

Explain why RMS value is used instead of peak value when specifying AC voltage and current ratings for electrical equipment.

A sinusoidal AC current with peak value $I_{m} = 14.14 A$ flows through a coil with $N = 100$ turns wound on a magnetic core. Calculate the magnetomotive force (MMF) produced by this current, using the RMS value.

A coil with 200 turns is wound on a ferromagnetic core with a mean magnetic path length of 0.4 m. If the sinusoidal alternating current through the coil has an RMS value of 5 A, what is the peak value of the magnetic field strength $H$ ?

A. 2000 At/m

B. 2828 At/m

C. 3536 At/m

D. 4000 At/m

When calculating the heating effect in transformer windings carrying sinusoidal alternating current, the RMS value of current should be used rather than the peak or average value.

In a magnetic circuit with reluctance $R$ , if a coil carrying sinusoidal alternating current produces a peak magnetomotive force (MMF) of $(N I)_{p}$ , then the peak magnetic flux is given by $Φ_{p} =$ ___.

Explain why ferromagnetic materials are preferred for the magnetic circuits of electrical machines that operate on sinusoidal alternating current, considering both the magnetic properties and the current values involved.

登录后解锁笔记、知识点解析、AI 问答

立即登录

6.12 Values of Sinusoidal Alternating Current

6.12 Values of Sinusoidal Alternating Current

练习题

For a sinusoidal alternating current with peak value Im​=10 A, what is the RMS (effective) value?

The average value of a sinusoidal alternating current over one complete cycle is:

A sinusoidal voltage has an RMS value of 120 V. What is its peak-to-peak value?

Which of the following statements about sinusoidal alternating current values are correct?

Select all values that can be used to characterize a sinusoidal alternating current waveform:

The RMS value of a sinusoidal alternating current produces the same heating effect in a resistor as a DC current of the same value.

For a sinusoidal waveform, the peak-to-peak value equals 2​ times the RMS value.

The average value of a sinusoidal current over a half-cycle is π2Im​​, which equals approximately 0.637Im​.

The RMS value of a sinusoidal alternating current is related to its peak value Im​ by the formula: I_{RMS} = \frac{I_m}{___}.

The form factor of a sinusoidal waveform is defined as the ratio of the ___ value to the average value.

Explain why RMS value is used instead of peak value when specifying AC voltage and current ratings for electrical equipment.

A sinusoidal AC current with peak value Im​=14.14 A flows through a coil with N=100 turns wound on a magnetic core. Calculate the magnetomotive force (MMF) produced by this current, using the RMS value.

A coil with 200 turns is wound on a ferromagnetic core with a mean magnetic path length of 0.4 m. If the sinusoidal alternating current through the coil has an RMS value of 5 A, what is the peak value of the magnetic field strength H?

When calculating the heating effect in transformer windings carrying sinusoidal alternating current, the RMS value of current should be used rather than the peak or average value.

In a magnetic circuit with reluctance R, if a coil carrying sinusoidal alternating current produces a peak magnetomotive force (MMF) of (NI)p​, then the peak magnetic flux is given by Φp​= ___.

Explain why ferromagnetic materials are preferred for the magnetic circuits of electrical machines that operate on sinusoidal alternating current, considering both the magnetic properties and the current values involved.

For a sinusoidal alternating current with peak value $I_{m} = 10 A$ , what is the RMS (effective) value?

A sinusoidal voltage has an RMS value of $120 V$ . What is its peak-to-peak value?

For a sinusoidal waveform, the peak-to-peak value equals $2$ times the RMS value.

The average value of a sinusoidal current over a half-cycle is $\frac{2 I _{m}}{π}$ , which equals approximately $0.637 I_{m}$ .

The RMS value of a sinusoidal alternating current is related to its peak value $I_{m}$ by the formula: $I_{RMS} = \frac{I_m}{___}$ .

A sinusoidal AC current with peak value $I_{m} = 14.14 A$ flows through a coil with $N = 100$ turns wound on a magnetic core. Calculate the magnetomotive force (MMF) produced by this current, using the RMS value.

A coil with 200 turns is wound on a ferromagnetic core with a mean magnetic path length of 0.4 m. If the sinusoidal alternating current through the coil has an RMS value of 5 A, what is the peak value of the magnetic field strength $H$ ?

In a magnetic circuit with reluctance $R$ , if a coil carrying sinusoidal alternating current produces a peak magnetomotive force (MMF) of $(N I)_{p}$ , then the peak magnetic flux is given by $Φ_{p} =$ ___.