The resonant frequency of the circuit is 1000 rad/s. Thus the inductive reactance is 1000 ohm. However at resonance the impedance of the circuit is just the resistance 10 ohm, with a resulting current at resonance of (10 V)/(10 ohm) = 1.0 A. The resulting voltage across the inductor (and capacitor, pi out of phase) is (1.0 A)(1000 ohm) = 1000 V!
The inductive reactance is 514 ohm and the capacitive reactance is 182 ohm. Thus the net reactance is 332 ohm; the resistance must be 89 ohm for the phase angle to be 75 degrees.
a) 16.6 ohm
b) 422 ohm
c) 521 mA
d) capacitive reactance increases
e) 408 ohm, which is less than before
f) current increases
a) 707 ohm
b) 32.2 mH
c) 0.022 microF
a) The inductive and capacitive reactances are not equal.
b) 15.6 microF
c) 255 mA