Question

A circuit having a resistance, an inductance, and a capacitance in series is connected to a 110- v ac line.for the circuit R = 0.0 xl = 28 and xc = 16 compute (a) the impedance of the circuit (b) the current (c) the phase angle between the current and the supply volt (d) the power factor of the circuit

Answer 1

Part A)

Impedance of the circuit is given by

`z = √((x_L - x_c)^2 + R^2)`

`z = √((28 - 16)^2 + 0^2)`

`z = 12 ohm`

Part b)

Now in order to find the current we will use ohm's law

`V = i*z`

`110 = i * 12`

`i = 9.17 A`

Part c)

Phase angle is defined as

`\phi = tan^(-1)(x_L - x_C)/(R)`

`\phi = tan^(-1)(12)/(0)`

`\phi = 90 degree`

Part d)

now power factor is defined as

`cos\phi = (R)/(Z)`

`Power factor = 0`