The following is an RL circuit. R 1 is resistor inside the power supply. R 2 is used to measure the current in the circuit by observing the voltage drop across this resistor. R 3 is the resistance of the inductor itself. Since inductors are made from many winds of wire, they all have some internal resistance unless they are superconducting.
L is the inductance of the inductor.
When the switch is suddenly closed current starts to flow, however the inductor will generate an EMF such that the current will not flow immediately. Instead, the current will increase from zero to the maximum value over a period of time. The growth of the current in the circuit will depend on the inductance and the resistance in the circuit. This looks like the voltage across the capacitor of an RC circuit during the charging phase. You are using probably different resistance.