The total reactance when two capacitances of...

The total reactance when two capacitances of...

Question 1 of 27070CDMvYCsr4ELEwSJkcDud

The total reactance when two capacitances of equal value are connected in series is:

Question 1 of 27070

Q

The total reactance when two capacitances of equal value are connected in series is:

🔍 Key Concepts

• Capacitive reactance in AC circuits and how it depends on capacitance • What happens to the equivalent capacitance of two equal capacitors in series • Relationship between equivalent capacitance and total reactance

💭 Think About

• First, recall the formula for combining two equal capacitors in series. Is the equivalent capacitance larger or smaller than a single capacitor? • If the equivalent capacitance is different from the individual capacitances, what does that do to the reactance, which depends on 1/C? • Compare whether the total reactance should be bigger or smaller than each individual reactance, and see which choice matches that behavior.

✅ Before You Answer

• Write the formula for capacitors in series and evaluate it for two equal values (C and C). • Use the capacitive reactance formula Xc = 1 / (2πfC) and substitute the equivalent capacitance you just found. • Check whether the resulting total reactance equals the sum, product, or difference of the two original reactances, or if it matches none of those forms.