Since the resistor and the inductor are connected in series, so current in them remains the same. Calculate the voltages across resistor R and inductor L by using Ohm’s Law. Use Ohm’s Law and find the value of the total current: I = V/Z amp.
Calculate the total phase angle for the circuit θ = tan – 1(X L/ R). From the value of X L and R, calculate the total impedance of the circuit which is given by Step 1.Since the value of frequency and inductor are known, so firstly calculate the value of inductive reactance X L: X L = 2πfL ohms. In series RL circuit, the values of frequency f, voltage V, resistance R and inductance L are known and there is no instrument for directly measuring the value of inductive reactance and impedance so, for complete analysis of series RL circuit, follow these simple steps: Z = (R 2 + X L 2) 0.5 and from right angle triangle, phase angle θ = tan – 1(X L/R). The impedance of series RL Circuit is nothing but the combine effect of resistance (R) and inductive reactance (X L) of the circuit as a whole. The impedance of series RL circuit opposes the flow of alternating current. Such as,Īnd from right angle triangle we get, phase angleĬONCLUSION: In case of pure resistive circuit, the phase angle between voltage and current is zero and in case of pure inductive circuit, phase angle is 90 o but when we combine both resistance and inductor, the phase angle of a series RL circuit is between 0 o to 90 o. Draw the resultant vector(V G) of these two voltages. We know that in inductor, voltage leads current by 90 o, so draw V L (voltage drop across inductor) perpendicular to current phasor. So draw the voltage phasor, V R along same axis or direction as that of current phasor. In case of resistor, both voltage and current are in same phase.
So, take current phasor as reference and draw it on horizontal axis as shown in diagram. In case of series RL circuit, resistor and inductor are connected in series, so current flowing in both the elements are same i.e I R = I L = I. The voltage leads that of current by 90 o or in other words, voltage attains its maximum and zero value 90 o before the current attains it.įor drawing the phasor diagram of series RL circuit follow the following steps: In inductor, the voltage and the current are not in phase. In case of resistor, the voltage and the current are in same phase or we can say that the phase angle difference between voltage and current is zero. Before drawing the phasor diagram of series RL circuit, one should know the relationship between voltage and current in case of resistor and inductor.
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