Answer the questions given below with reference to alternating current:

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

Problem

Answer the questions given below with reference to alternating current: (i) Define the following terms for an alternating current: peak value, average value (over half a cycle), and root–mean–square value. (ii) Give a reasoned explanation of which of the above quantities is most suitable for specifying the rating of household electrical appliances. (iii) For a pure resistor of resistance RR carrying an alternating current i(t)=Imsin⁡ωti(t)=I_{\rm m}\sin \omega t, show that the average power dissipated over one complete cycle is VrmsIrmsV_{\rm rms}I_{\rm rms}.

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