A circuit consists of a 171 - resistor and a 0.158-H inductor. These two elements are connected in series across a generator that has a frequency of 147 Hz and a voltage of 278 V. (a) What is the current in the circuit? (b) Determine the phase angle between the current and the voltage of the generator

Question

Physics

Arielle

25 July, 11:10

A circuit consists of a 171 - resistor and a 0.158-H inductor. These two elements are connected in series across a generator that has a frequency of 147 Hz and a voltage of 278 V. (a) What is the current in the circuit? (b) Determine the phase angle between the current and the voltage of the generator

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Answers (1)

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Emmanuel Ellison · Answer 1

a) I = 1.635-i0.0021 b) ∅ = - 0.074

Explanation:

a) reactive impeadance = 2πfL

=2 (3.14) (147) (0.158)

=145.86 Ω

Z = 171+j145.86

I=V/Z

I=278 / (171+j145.86)

I = 1.635-i0.0021

b) ∅=inv. tan (-0.0021/1.635)

∅=-0.074