A 60 Micro firah capacitance and a resistance of 40 ohm are connected in series and a 250 volt/50 Herz supply calculate
A. Impedance
B. Current
C. The phase angle between the voltage and current
To find the impedance, we need to use the formula:
Impedance (Z) = √[(Resistance)^2 + (Reactance)^2]
First, we need to calculate the reactance using the formula:
Reactance (X) = 1 / (2πfC)
where f is the frequency and C is the capacitance.
Frequency (f) = 50 Hz
Capacitance (C) = 60 μF
Converting capacitance to Farads:
60 μF = 60 x 10^-6 F = 0.00006 F
Reactance (X) = 1 / (2π x 50 x 0.00006)
≈ 530.33 ohms
Now, we can find the impedance:
Impedance (Z) = √[(Resistance)^2 + (Reactance)^2]
= √[(40)^2 + (530.33)^2]
≈ 531.50 ohms
The impedance is approximately 531.50 ohms.
To find the current, we use Ohm's Law:
Current (I) = Voltage (V) / Impedance (Z)
= 250 V / 531.50 ohms
≈ 0.470 A
The current is approximately 0.470 A.
The phase angle between the voltage and current in a series circuit with only resistance and capacitance can be calculated using the formula:
Phase angle (θ) = arctan(Reactance / Resistance)
Phase angle (θ) = arctan(530.33 / 40)
≈ 85.34 degrees
The phase angle between the voltage and current is approximately 85.34 degrees.