### Introduction

Because of the intrinsic characteristics of inductors, the relationship between **current **and **voltage **in a circuit that is solely inductive experiences a clear **phase shift**. A passive **electrical **component that resists variations in current flow is called an **inductor**. A totally inductive circuit exhibits a number of important features when an **alternating current **(**AC**) is applied, and it becomes crucial to comprehend the phase connection between **current and voltage**.

### Explanation:

The **voltage **across the inductor in an **inductive** **circuit **leads the current by 90 degrees, or a quarter of a cycle, in a positive direction. The **inductor‘s **resistance to variations in current flow is the cause of this phase shift. The current first lags when the **AC voltage** peaks because the inductor resists the abrupt shift. The current peaks when the **AC **waveform reaches one-fourth of its whole cycle.

**Trigonometric **functions are a mathematical tool for expressing this phase connection. In an AC circuit, the voltage across an inductor is directly **proportional **to the rate at which the current changes over time. The **voltage **(**V**) in terms of sinusoidal waveforms is expressed as **V=jωLI,** where j is the imaginary unit, ω is the angular frequency, I is the current, and L is the **inductancegrasp **power factors in AC circuits requires a grasp of the phase relationship in a completely inductive circuit. The power factor in these circuits is less than one, not unity. The product of voltage and current yields the apparent power (S), which is higher than the true **power **(**P**). The ratio of real power to apparent power is then used to represent the **power factor **(**PF**).

**Conclusion**

**Conclusion**Although **inductive **circuits display this phase shift and can lead to power **transmission inefficiencies**, they are essential parts of many **electrical devices**, including motors and **transformers**. In order to create effective electrical systems and take **reactive ****power **into account when calculating a circuit’s total power consumption, **engineers **and electricians carefully evaluate these **phase relationships**.