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In a series RLC circuit R = 930 ?, L = 4.90 mH, and C = 11.4 ? F. If the AC sour

ID: 1263028 • Letter: I

Question

In a series RLC circuit R = 930 ?, L = 4.90 mH, and C = 11.4 ?F. If the AC source is at a frequency of 79.0 Hz, find.
(a) The inductive reactance,

XL =  ?

(b) The capacitive reactance,

XC =  ?

(c) The inductance,

Z =  ?

(d) The phase angle between the current and the voltage.

In a series RLC circuit R = 930 ?, L = 4.90 mH, and C = 11.4 ?F. If the AC source is at a frequency of 79.0 Hz, find. (a) The inductive reactance, XL = ? (b) The capacitive reactance, Xc = ? (c) The inductance, Z = ? (d) The phase angle between the current and the voltage. Psi = A degree

Explanation / Answer

A)

XL=2*3.14*79*4.9*10-3

=2.43ohms

B)

XC=1/2*pi*f*C WHAT IS MEAN BY QUESTION MARK IS IT MICRO OR MILLI FARED

=1/2*3.14*79*11.4*10-6

FOR MICRO FARED

=176.8ohms

C)

Z=R+j(XL-XC)

=930-j174.37

magnitude=946.2ohms

D)

cos(theta)=R/Z

=930/946.2

=0.982

theta=10.88degrees

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