| Exam Board | OCR MEI |
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| Module | Further Pure Core (Further Pure Core) |
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| Year | 2023 |
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| Session | June |
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| Topic | Indefinite & Definite Integrals |
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9 In an electrical circuit, the alternating current \(I\) amps is given by \(\mathbf { I } =\) asinnt, where \(t\) is the time in seconds and \(a\) and \(n\) are positive constants. The RMS value of the current, in amps, is defined to be the square root of the mean value of \(I ^ { 2 }\) over one complete period of \(\frac { 2 \pi } { n }\) seconds.
Show that the RMS value of the current is \(\frac { a } { \sqrt { 2 } }\) amps.