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

Daisy Austin

3 September, 09:19

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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Brynn Goodman · 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