I need help with the mastering it. The beginning values it gives us is: A series

Question

I need help with the mastering it.

The beginning values it gives us is:

A series RLC circuit has R = 430 , L = 1.30 H, C = 3.8 µF. It is connected to an AC source with f = 60.0 Hz and Vmax = 150 V.

but the frequency changes so now we need to calculate everything with the new freq.

MASTER IT HINTS: GETTING STARTED | I'M STUCK!

What if the frequency is now increased to f = 94 Hz, and we want to keep the impedance unchanged?(a) What new resistance should we use to achieve this goal?
R =  

(b) What is the phase angle (in degrees) between the current and the voltage now?
=  °

(c) Find the maximum voltages across each element.

Explanation / Answer

z = sqrt((XL-Xc)^2 + R^2)

XL = 2pif*L = 490

Xc = 1/2pif*C = 698

z = sqrt(430^2 + (698 - 490)^2)

z = 477.665

now frequency = 94 Hz

z will be same

R^2 = z^2 - (XL-Xc)^2

new XL = 2pif*L = 767.81

Xc = 1/2pif*C = 445.56

R = sqrt(z^2 - (XL-Xc)^2)

R = 352.589 ohm

part b )

theta =tan^-1(XL -Xc)/R

theta = 42.43 degree

part c )

Imax = Vmax/z = 0.314 A

VR = Imax*R = 110.71 V

VL = Imax*XL = 241.09 V

VC = Imax*XC = 139.91 V

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