The answers are as follows;
a) the inductive reactance is 322 ohm
b) The maximum voltage is 387.5 V
c) The rms and maximum currents in the inductor are 1.2 A and 0.85 A.
<h3>What is the reactance?</h3>
The reactance is obtained from;
XL = 2πfL
XL = 2 * 3.14 * 57.0 * 0.900
XL = 322 ohm
The maximum voltage is obtained as;
Vo = Vrms * √2
Vo = 274 V * √2
Vo = 387.5 V
Io = Vo/XL
Io = 387.5 V/ 322 ohm
Io = 1.2 A
Irms = 274 V/322 ohm
Irms = 0.85 A
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Well,
arctan is a bijection from R into (-pi/2 , pi/2)*and
pi is a period of tangent function:
so
as we have : tan(7pi/4) = tan(pi - pi/4) = - tan(pi/4)
we finally get :
<span>arctan(tan(7pi/4)) = artan(tan(- pi/4)) = - pi/4
</span>
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Answer:
0.02 s
160 m/s
Explanation:
Given:
Δx = 1.6 m
v₀ = 0 m/s
a = 8000 m/s²
A) Find t.
Δx = v₀ t + ½ at²
1.6 m = (0 m/s) t + ½ (8000 m/s²) t²
t = 0.02 s
B) Find v.
v² = v₀² + 2aΔx
v² = (0 m/s)² + 2 (8000 m/s²) (1.6 m)
v = 160 m/s
