A resistor is to be connected in series with a capacitor to a (rms)

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

Problem

50\,\Omega

resistor is to be connected in series with a capacitor to a

230\,\text{V}

(rms),

50\,\text{Hz}

supply such that the circuit operates with a power factor of

0.80

leading. (i) Write the expression relating power factor to circuit parameters for an

R

–

C

series circuit. (ii) Calculate the capacitance that must be used to obtain the desired power factor. (iii) For the capacitance found in (ii), determine the rms current drawn from the supply. (iv) Compute the average power consumed by the circuit under these conditions.

Related theory

Power in AC Circuits
AC Circuit Analysis
AC Circuit Elements
AC circuits with R, L, C
AC applied to a capacitor
Alternating Current

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