Academic Integrity: tutoring, explanations, and feedback — we don’t complete graded work or submit on a student’s behalf.

x Augusta College PHYS 1 x c Physics question I Chegg x a Campus Net C WWW.Sapli

ID: 1586933 • Letter: X

Question

x Augusta College PHYS 1 x c Physics question I Chegg x a Campus Net C WWW.Saplinglearning.com 2242783 2/10/2016 11 PM A 65/100 2/3/2016 02:14 PM Gradebook Print Calculator Periodic Table Question 5 of 10 Incorrect Map A sapling learning Consider a series RLC circuit where R 25.0 Q, C 35.5 uF, and L 0.0940 H, driven at a freguency of 60.0 Hz. Determine the phase angle of the circuit in degrees. Number Your result above indicates which of the following holds? The voltage lags behind the current The current lags the voltage. M Overall, the system is capacitive Overall, the system is inductive. There is a hint available! View the hint by clicking on the bottom divider bar. Click on the divider bar again to hide the hint. Close Previous 3 Give Up & View Solution Check Answer Next Exit 8 Hint Start 2:20 PM 2/3/2016

Explanation / Answer

Given in the question,

Resistance, R = 25  

Capacitance, C = 35.5 F = 35.5*10^-6 F

Inductance, L = 0.094 H

Frequency, f = 60 Hz

The angular velociy can be calculated using the below formula,

w = 2 f = 2*3.14*60 = 376.8 rad/s

For the R-L-C circuit,

XC = 1 / w*C = 1 / 376.8*35.5*10^-6 = 74.758

XL = w*L = 376.8*0.094 = 35.419

For the phase angle, we will use the following formula:

Phase Angle = = tan-1[ (XL - XC) / R ] =   tan-1[ (35.419- 74.758) / 25 ] = tan-1[-1.5736] = 122.44°