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Question
A series LCR circuit has resistance 10Ω and reactance is `7sqrt2` Ω. What is the impedance of the circuit?
Solution
Given:
R = 10 Ω, |XL - XC| = `7sqrt2` Ω
To find: Impedance (Z)
Formula: X = `sqrt("R"^2 + ("X"_"L" - "X"_"C")^2)`
Calculation:
From formula,
Z = `sqrt(10^2 + (7sqrt2)^2)`
= `sqrt(100 + 98)`
= 14.07 Ω
The impedance of the circuit is 14.07 Ω.
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