Question

Now let's apply Z=R2+[ωL−(1/ωC)]2−−−−−−−−−−−−−−−−−√ and tanϕ=X/R to a specific R-L-C circuit. The circuit layout is shown in (Figure 1). Suppose that its components have values R=300Ω, L=60mH, C=0.50μF, V=50V, and ω=10,000rad/s. Find the reactances XL, XC, and X, the impedance Z, the current amplitude I, the phase angle ϕ, and the voltage amplitude across each circuit element.

In a series circuit, suppose R=130Ω, L=350mH, C=0.70μF, V=120V, and ω=4050rad/s. Find the reactance XL.

Express your answer in ohms to two significant figures.

Find the reactance XC.

Express your answer in ohms to two significant figures.

Find the impedance Z.

Express your answer in ohms to two significant figures.

Find the current amplitude I.

Express your answer in amperes to two significant figures.

Find the phase angle ϕ.

Express your answer in degrees to two significant figures.

Find the voltage amplitude across the resistor.

Express your answer in volts to two significant figures.

Find the voltage amplitude across the inductor.

Express your answer in volts to two significant figures.

Find the voltage amplitude across the capacitor.

Express your answer in volts to two significant figures.

Answer 1