Question

A circuit consists of a 215-Ω resistor and a 0.200-H inductor. These two elements are connected in series across a generator that has a frequency of 120 Hz and a voltage of 235 V.

(a) What is the current in the circuit?
???A

(b) Determine the phase angle between the current and the voltage of the generator.
???°

Answer 1

Given, resistor R = 215 Ω

inductor L = 0.2 H

frequency f = 120 Hz

the maximum voltage V = 235 V

(a) The impedance in the circuit

            Z = √ R^2 +XL^2

               = √ (215)^2 + (2πf L)^2

               = 262.61 Ω

therefore the current I = V/Z = 235 / 262.61 = 0.895 A

(b) The phase angle

              φ = tan^-1( XL/R) = 35.04 deg

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