[upl-image-preview uuid=4b5e1133-bc78-4d4a-9f2a-72d6136a129f url=https://storage.hamcq.cn/2025-01-02/1735801195-606750-1735800929450.jpg alt={TEXT?}] 这是我在智谱上刷题遇到的，问一个峰峰值为100V的正弦波的有效值电压是多少？ V有效值=峰峰值/√2 那这样就计算得出的答案应该是：约70.7V才对，但是智谱却认为是：35.4V。 [upl-image-preview uuid=9359635c-2bb3-4a61-907c-ebae3c1a5f48 url=https://storage.hamcq.cn/2025-01-02/1735801454-607692-9359635c-2bb3-4a61-907c-ebae3c1a5f48.png alt={TEXT?}] 网上查到的也应该是70.7V才对。能讨论下为什么是35.4V吗？

峰峰值是指波峰到波谷的差值，换句话说也就是两倍的峰值 [upl-image-preview uuid=e9e3ac68-f169-4322-a44d-dbb42a1b7f31 url=https://storage.hamcq.cn/2025-01-03/1735866372-363035-e9e3ac68-f169-4322-a44d-dbb42a1b7f31.jpg alt={TEXT?}]

@"BD3RBV"#p48476 这就是说峰-峰100的幅值只有50，/√2自然是35.4

@"BD3RBV"#p48478 好的，谢谢，这样我就明白了。

@"BG2EWI"#p48587 感谢你如此详细的回复，并列举了方波和锯齿波的相关值。另外不得不夸一下波形画的真标准。

@"BA7NXV"#p48591 哈哈，不是我画的，我也是收藏了的

本坛不能直接保存图片，真是一遗憾

Regarding the calculation of the RMS (Root Mean Square) value for sine waves.

BA7NXV

This is what I encountered while practicing on Zhihu: "What is the RMS (Root Mean Square) voltage of a sine wave with a peak value of 100V?"
V_effective = Peak/Peak Value / √2
Therefore, the calculated answer should be approximately 70.7V, but ZhiPu believes it is 35.4V.

According to what I found online, it should be 70.7V.
Could you please explain why it's 35.4V?

BD3RBV

Peak-Peak represents a double amplitude value.

BD3RBV

BD3RBV This means that the peak-to-peak value of the signal is only 50, and therefore the RMS (root mean square) value is naturally 35.4.

BA7NXV

BD3RBV Okay, thank you, that makes sense to me.

BG2EWI

峰峰值是指波峰到波谷的差值，换句话说也就是两倍的峰值

BA7NXV

BG2EWI
Thank you for your detailed response and for providing the relevant values for square wave and sawtooth wave.
I must also commend the excellent quality of the waveform drawings.

YAOQI

BG2EWI Learned

BG2EWI

BA7NXV Haha, this isn't one of my own creations; I also have it as a collectible.

Hangying

This forum cannot directly save images; it's a real shame.

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