A sinusoidal alternating voltage source is represented by .

PHYSICS · Multi-part · A Level · Physics · Fields and their consequences · Fields and their consequences

Problem

A sinusoidal alternating voltage source is represented by ε(t)=ε0sin⁡ωt\varepsilon(t)=\varepsilon_0\sin \omega t. (a) Define the root-mean-square (rms) value of an alternating voltage. (b) State the relation between the peak value ε0\varepsilon_0 and the rms value εrms\varepsilon_{\text{rms}} for a pure sine wave, and give one qualitative reason for this relation. (c) Give any two practical reasons why household electrical devices are rated in rms values rather than in peak values.

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