An aircraft's supply is sinusoidal at

PHYSICS · Multi-part · Fermi University Physics · Electricity, Magnetism & Electromagnetism · Electronics, Instrumentation & Communication · Semiconductor devices and analogue circuits

Electricity, Magnetism and Electromagnetism, Ch Alternating current: peak and rms values, the oscilloscope and rectification

Problem

400\,\mathrm{Hz}

. A test load is a flat strip of manganin of resistivity

\rho_{\mathrm{r}} = 4.4\times10^{-7}\,\Omega\,\mathrm{m}

, length

0.85\,\mathrm{m}

and rectangular cross-section

2.0\,\mathrm{mm}\times0.10\,\mathrm{mm}

, of temperature-independent resistance. ((a)) Find the resistance of the strip. ((b)) The strip is connected directly across a

6.0\,\mathrm{V}

rms,

400\,\mathrm{Hz}

winding of negligible resistance. Find the mean power dissipated in it. ((c)) The winding now feeds the strip through a single ideal diode (no forward voltage drop, no reverse current), with a smoothing capacitor

C = 10\,000\,\mu\mathrm{F}

across the load. State the ripple period, and, taking the load current as steady and equal to (peak output voltage)/(resistance), estimate the peak-to-trough ripple voltage. ((d)) Express the time constant of capacitor and load as a number of ripple periods.

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