(25%) Problem 1: Suppose the voltage source for a series RL-circuit were given a
ID: 2040503 • Letter: #
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(25%) Problem 1: Suppose the voltage source for a series RL-circuit were given as Vosin(a ) instead of V cos(ai). - Enter an expression for the current amplitude in terms of Vo-O, R, and L. 25% Part 25% Part (b) Calculate the current am (a) plitude, in milliamperes, when V,-29 V,a 74 rad/s, R-25 ?, and L-0.62 H. ?. 4% 25% Part (c) Enter an expression for the tange nt of the phase constant in terms of o, R, and L phase constant, in radians in the range-x2 s ? s ?/2, for the circuit parameter values given in pa Grade S Deductic Potential 25% Part (d) Calculate the sin() cos() tan() ? (1) 7 8 9 cotanO asin acos0 atan acotan sinhO coshO tanh0 cotanh0+ Submiss Attempts 4%per etailed 0 O DegreesRadians 0 BACKSPACE na? CLE Submit Hint I give up!Explanation / Answer
a) Io = Vo/Z
impedence is Z = sqrt(R^2+(wL)^2)
then
current amplitude is Io = Vo/Z = Vo/sqrt(R^2+(wL)^2)
b) Io = Vo/sqrt(R^2+(wL)^2)
Io = 2.9/sqrt(25^2+(74*0.62)^2) = 0.0555 A = 55.5 mA
C) tangent of phase angle is tan(theta) = (-XL/R) = (-wL/R)
d) tan(theta) = (-74*0.62)/25 = -1.8352
theta = tan^(-1)(-1.8352)= -1.07 rad = -61.3 deg
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