In a purely inductive AC circuit as shown in the figure, AV = 100 V. max AVmax sin 2nft L ele (a) The maximum current is 5.70 A at 45.0 Hz. Calculate the inductance L. (b) At what angular frequency w is the maximum current 1.80 A?

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In a purely inductive AC circuit as shown in the figure, AV
AVmax sin 27 ft
XL1
(a) The maximum current is 5.70 A at 45.0 Hz. Calculate the inductance L.
Step 1
We find the reactance from Imax ΔV. /XL, where.
max
L
(b) At what angular frequency w is the maximum current 1.80 A?
=
max
Imax1
ele
1
(a) Solving for the reactance for the first current Imax1 given in the problem, we have
AV.
2
max
3
= 100 V.
XL
is defined to be the inductive reactance of the circuit with inductance L and frequency f.
Ω.
Transcribed Image Text:In a purely inductive AC circuit as shown in the figure, AV AVmax sin 27 ft XL1 (a) The maximum current is 5.70 A at 45.0 Hz. Calculate the inductance L. Step 1 We find the reactance from Imax ΔV. /XL, where. max L (b) At what angular frequency w is the maximum current 1.80 A? = max Imax1 ele 1 (a) Solving for the reactance for the first current Imax1 given in the problem, we have AV. 2 max 3 = 100 V. XL is defined to be the inductive reactance of the circuit with inductance L and frequency f. Ω.
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