Step 1: Convert the inductance from millihenries to henries.

1 millihenry = 1e-3 henries
So, L = 63 millihenries = 63 * 1e-3 = 0.063 henries

Step 2: Calculate the reactance (Xl) of the inductor using the formula:

Xl = 2 * π * F * L

where:
π = 3.14159 (approx)
F = frequency = 100 Hz
L = inductance = 0.063 henries

Substituting the values, we get:

Xl = 2 * 3.14159 * 100 * 0.063 = 39.79 ohms (approx)

Step 3: Calculate the phase angle (θ) of the phasor current. The phase angle is the arctangent of the ratio of the reactance to the resistance.

θ = arctan(Xl / R)

Substituting the values, we get:

θ = arctan(39.79 / 81) = 0.44 radians (approx)

However, since the current lags the voltage in an inductive circuit, the phase angle should be negative.

So, the phase of the phasor current is -0.44 radians.

Question

Step 1: Convert the inductance from millihenries to henries.

1 millihenry = 1e-3 henries
So, L = 63 millihenries = 63 * 1e-3 = 0.063 henries

Step 2: Calculate the reactance (Xl) of the inductor using the formula:

Xl = 2 * π * F * L

where:
π = 3.14159 (approx)
F = frequency = 100 Hz
L = inductance = 0.063 henries

Substituting the values, we get:

Xl = 2 * 3.14159 * 100 * 0.063 = 39.79 ohms (approx)

Step 3: Calculate the phase angle (θ) of the phasor current. The phase angle is the arctangent of the ratio of the reactance to the resistance.

θ = arctan(Xl / R)

Substituting the values, we get:

θ = arctan(39.79 / 81) = 0.44 radians (approx)

However, since the current lags the voltage in an inductive circuit, the phase angle should be negative.

So, the phase of the phasor current is -0.44 radians.

Knowee AI · Accepted Answer

Step 1: Convert the inductance from millihenries to henries.

1 millihenry = 1e-3 henries
So, L = 63 millihenries = 63 * 1e-3 = 0.063 henries

Step 2: Calculate the reactance (Xl) of the inductor using the formula:

Xl = 2 * π * F * L

where:
π = 3.14159 (approx)
F = frequency = 100 Hz
L = inductance = 0.063 henries

Substituting the values, we get:

Xl = 2 * 3.14159 * 100 * 0.063 = 39.79 ohms (approx)

Step 3: Calculate the phase angle (θ) of the phasor current. The phase angle is the arctangent of the ratio of the reactance to the resistance.

θ = arctan(Xl / R)

Substituting the values, we get:

θ = arctan(39.79 / 81) = 0.44 radians (approx)

However, since the current lags the voltage in an inductive circuit, the phase angle should be negative.

So, the phase of the phasor current is -0.44 radians.

Given Vs = 154 voltsR = 81 ohmsL= 63 mHF = 100 HzCalculate the phase of the phasor current I in RADIANSChoose a value of phase which is between -pi and +pi.