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QuestionDetails: A sinusoidal voltage v = (65 V) sin (140 t ) isapplied to a ser

ID: 1740477 • Letter: Q

Question

QuestionDetails: A sinusoidal voltage v = (65 V) sin (140t) isapplied to a series RLC circuit with L =70 mH, C = 150 F, and R = 36 . (a) What is the impedance of the circuit?
Enter anumber. 1 _______

(b) What is the maximum current in the circuit?
Enter anumber.
_________A
QuestionDetails: (a) What is the impedance of the circuit?
Enter anumber. 1 _______

(b) What is the maximum current in the circuit?
Enter anumber.
_________A
Enter anumber. Enter anumber.
_________A
QuestionDetails: A sinusoidal voltage v = (65 V) sin (140t) isapplied to a series RLC circuit with L =70 mH, C = 150 F, and R = 36 . (a) What is the impedance of the circuit?
Enter anumber. 1 _______

(b) What is the maximum current in the circuit?
Enter anumber.
_________A

Explanation / Answer

   Compare the given equation to standardequation of AC voltage       V   =   V0* sin t    Maximumvoltage   V0   =   65V,   Angularfrequency      =   140   rad/s    a.   Impedance   Z   =   { R2   +   (XL - XC)2}   =   { R2   +   ( * L - 1 / * C)2}          Z   =   { 362   +   ( 140 * 70 *10-3   -   1 / 140 * 150 *10-6)2}   =   {1296 + (9.8 - 47.62)2}          Z   =   2726.35   =   52.21       b.   Maximumcurrent   I0   =   V0/ Z   =   65 /52.21   =   1.24   A
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