Verification of KVL and voltage divider rule in AC Circuits

Verification of KVL and voltage divider rule in AC Circuits

NAME OF THE EXPERIMENT: Verification of KVL and voltage divider rule in AC Circuits.

OBJECTIVE: The objective of this experiment is to study RLC series circuits when energized by an AC source and to construct their phasor diagram. KVL and voltage divider rule will also be verified.

THEORY: KVL states that the voltage rises must be equal to the voltage drops around a close circuit. Applying Kirchoff’s Voltage Law around the closed-loop of figure 1, we find,
     VS = VR + VL + VC
Current I is the same throughout the circuit for figure 1.

The voltage divider rule (VDR) states that the voltage across an element or across a series combination of elements in a series circuit is equal to the resistance/reactance of the element divided by the total resistance/impedance of the series circuit and multiplied by the total impressed voltage.
verification-of-kvl-and-voltage-divider-rule-in-ac-circuits-part-1

TYPES OF EQUIPMENT:
1. AC Voltmeter
2. Inductor
3. Capacitor
4. Resistor
5. AC current source

CIRCUIT DIAGRAM:
verification-of-kvl-and-voltage-divider-rule-in-ac-circuits-part-2

PROCEDURE:
1. Firstly I opened Proteus software and went to “New project”. 
verification-of-kvl-and-voltage-divider-rule-in-ac-circuits-part-3 100%

2. In the new project I added all the needed components and connected them by wire.
verification-of-kvl-and-voltage-divider-rule-in-ac-circuits-part-4 100%

3. By running my circuit I got all voltage.
verification-of-kvl-and-voltage-divider-rule-in-ac-circuits-part-5

4. Calculate VR, VL, and VC using the Voltage Divider Rule (VDR).
verification-of-kvl-and-voltage-divider-rule-in-ac-circuits-part-6 100%
verification-of-kvl-and-voltage-divider-rule-in-ac-circuits-part-7
verification-of-kvl-and-voltage-divider-rule-in-ac-circuits-part-8verification-of-kvl-and-voltage-divider-rule-in-ac-circuits-part-9 100%verification-of-kvl-and-voltage-divider-rule-in-ac-circuits-part-10 100%verification-of-kvl-and-voltage-divider-rule-in-ac-circuits-part-11 100%verification-of-kvl-and-voltage-divider-rule-in-ac-circuits-part-12
N.B: For angular value, it’s don’t follow the simple add rule.

Discussion:
1. By two times observation I got the different values of E against two different inputs.
2. One time I gave a 50v voltage source and finally I got the same value of E by using the VDR rule.
3. Here given value and gotten value are the same. So KCL proved.