A resistor da inductor su ne da muhimmanci mutanen karamin lissafi (wanda yake da alaka lissafi daga voltage zuwa current) da kuma passive (wadanda suka yi gudanarwa). Idan an sambata resistor da inductor ta hanyar voltage supply, wannan circuit ce zai ake kira RL circuit.
RL Series Circuit- Idan resistance da inductor suka a sambata a tsari na biyu da voltage supply. An kiran wannan circuit a cikin series RL circuit.
RL Parallel Circuit- Idan resistance da inductor suka a sambata a tsari na biyu da kuma suna amfani da voltage source, an kiran wannan circuit a cikin parallel RL circuit.

A transfer function ana amfani da ita don bincike RL circuit. Ya ake kira a matsayin hasaliyar output system zuwa input system, a Laplace domain.

Ka duba RL circuit wanda ake sambata resistor da inductor a tsari na biyu.
Saki Vin ba voltage supply,
VL ya shiga inductor, L,
VR ya shiga resistor,
da I ya shiga current wanda ya barcewa a cikin circuit.
Daga baya don samun transfer function, ka fada rule na voltage divider. A voltage divider rule yana da yawan karfi don taimakawa masu amfani da shi a kan ci gaba voltage across any element a cikin circuit.
Ya ce voltage divided bayan resistors yana da alaka lissafi da sukan resistance.
An amfani da voltage divider rule, voltage across inductor VL ya shiga:
Voltage across the resistor VR ya shiga:
The transfer function, HL for the inductor is:
Similarly, the transfer function, HR for the resistor is,
Current
Since the circuit is in series so the current in resistor and inductor are the same and is given by:

Time constant of an RL circuit ya shiga lokacin da current ya faru zuwa maximum value wanda ya yi nasara a lokacin da rate of rise.
Time constant of a series RL circuit equal to the ratio of value of inductor to the value of resistance:
Where,
T = time constant in seconds,
L = inductor in Henry,
R = resistance in ohms.
In RL circuit due to presence of inductor the current in the circuit does not build up at a steady rate because inductor has a property to oppose the change in current flowing through it. So rate of increase in current is initially rapid but it slows down as it approaches its maximum value. During each time constant, the current build up 63.2 % of its remaining distance. As shown in graph it takes 5 times constant to build up a current in RL circuit.
Ka duba RL circuit wanda ake sambata voltage source da frequency varying da kuma output voltage a cikin R1. Resistor R