A resistor , a coil and a capacitor are connected in series across a supply of peak…

PHYSICS · Subjective · Fermi University Physics · Mathematical Methods for Physics · Electricity, Magnetism & Electromagnetism · Foundations of mathematical language

Mathematical Methods for Physics, Ch Complex numbers, the complex exponential and phasors

Problem

A resistor

R = 50\,\Omega

, a coil

L_{\mathrm{c}} = 0.20\,\mathrm{H}

and a capacitor

C = 100\,\mathrm{\mu F}

are connected in series across a supply of peak voltage

20\,\mathrm{V}

and frequency

60\,\mathrm{Hz}

. Treat the components as ideal (no resistance in the coil's winding, no leakage in the capacitor) and use this chapter's

e^{-i\omega t}

convention. Find the peak current in the circuit and the angle by which it lags the supply voltage.

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