admin November 2, 2020 Numerical Problem 6, AC Circuits 3 Comments Problem 6: (a) Calculate the inductive reactance of a 3.00 mH inductor when 60.0 Hz and 10.0 kHz AC voltages are applied. (b) What is the rms current at each frequency if the applied rms voltage is 120 V. Solution (a) Given Inductance, L= 3 mH = 3×10^{-3 }H, f_{1} = 60 Hz, f_{2} = 10 kHz = 10 × 10^{3} Hz Asked Inductive reactance in both X_{L1} and X_{L2} Formula X_{L} = 2πfL Now put values for the first case, X_{L1} = 2πf_{1}L = 2×3.14×60×3×10^{-3} = 1130.4 × 10^{-3} =1.13 Ω Similarly, for second case, X_{L2} = 2πf_{2}L = 2×3.14×10×10^{3}×3×10^{-3}= 188.4 × 10^{0}=188 Ω (b) Given V_{rms} = 120 V, X_{L1} = 1.13 Ω, X_{L2} = 188 Ω Find I_{rms1}, I_{rms2} Formula: I_{rms} = V_{rms}/X_{L} Now put values for first case, I_{rms1} = 120/1.13 = 106 A For the second case, I_{rms2} = 120/188 = 0.637 A Next Question List of Questions Previous Question Tagged Calculate the inductive reactance of a 3.00 mH inductor when 60.0 Hz and 10.0 kHz AC voltages are applied., Practice problem of alternating current circuit., Practice problem on calculating inductive reactance when when frequency of the current is given., What is the rms current at each frequency if the applied rms voltage is 120 V. Post navigation Previous Previous post: Numerical Problem 5, Alternating Current Circuit, Physics 12 … msaNext Next post: Numerical Problem 7, Alternating Current Circuit, Physics 12 … msa 3 Comments Pingback:Numerical Problem 5, Alternating Current Circuit, Physics 12 … msa – msa Pingback:Numerical Problem 7, Alternating Current Circuit, Physics 12 … msa – msa Pingback:solved-numerical-problems-alternating-current-circuit-physics-12-msa – msa Leave a Reply Cancel replyYour email address will not be published. Required fields are marked *Comment Name * Email * Website Save my name, email, and website in this browser for the next time I comment.

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