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16.42 a) Derive the expressions for the Fourier coefficients for the periodic current shown in Fig. P16.42. b) Write the first four nonzero terms of the series using the alternative trigonometric form given by Eq. 16.20. c) Use the first four nonzero terms of the expres- sion derived in (b) to estimate the rms value of ig. d) Find the exact rms value of ig. e) Calculate the percentage of error in the estimated rms value. Figure P16.42 Im 0 - Im T/4 T/2 37/4 ✓ T

16.42 a) Derive the expressions for the Fourier coefficients for the periodic current shown in Fig. P16.42. b) Write the first four nonzero terms of the series using the alternative trigonometric form given by Eq. 16.20. c) Use the first four nonzero terms of the expres- sion derived in (b) to estimate the rms value of ig. d) Find the exact rms value of ig. e) Calculate the percentage of error in the estimated rms value. Figure P16.42 Im 0 - Im T/4 T/2 37/4 ✓ T

Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
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16.42 a) Derive the expressions for the Fourier coefficients for the periodic current shown in Fig. P16.42. b) Write the first four nonzero terms of the series using the alternative trigonometric form given by Eq. 16.20. c) Use the first four nonzero terms of the expres- sion derived in (b) to estimate the rms value of ig. d) Find the exact rms value of ig. e) Calculate the percentage of error in the estimated rms value. Figure P16.42 Im 0 -Im T/4 T/2 37/4 ✓ T
Transcribed Image Text:16.42 a) Derive the expressions for the Fourier coefficients for the periodic current shown in Fig. P16.42. b) Write the first four nonzero terms of the series using the alternative trigonometric form given by Eq. 16.20. c) Use the first four nonzero terms of the expres- sion derived in (b) to estimate the rms value of ig. d) Find the exact rms value of ig. e) Calculate the percentage of error in the estimated rms value. Figure P16.42 Im 0 -Im T/4 T/2 37/4 ✓ T
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