Attached.

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Name:
Course:
Instructor:
Date:
Lab Report on R-C Circuits
Lab Title
A lab report on the R-C Circuits
Objectives
The main objective for undertaking this experiment is to learn the various aspects of the
R-C Circuits’ their design, equations and measurement of the R-C Circuits.
Apparatus
The following lists of apparatus were used in conducting the experiment:


Resistors, whose capacity was one-kilo ohm (1kΩ)



Capacitor of capacity 22 microfarads (µF)



Connecting wires



Source of power



Breadboard



Functional generator

Theory
An R-C circuit can be represented as follows:

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It consists of circuit capacitance C, and a resistance R. the applied Voltage V, is the
phasor sum of VR and VC as show in fig. 2.0.
The current I, leads to the applied voltage V, by an angle in the range of 0 degrees and 90
degrees, which is represented by an angle α.
From the phasor diagrams, the “voltage triangle” for the a.c series connected the R-C
circuits can be derived as follows:
𝑉 = √𝑉 2𝑅 + 𝑉𝑐 2
From Pythagoras theorem;
tan 𝛼 = 𝑉𝑐/𝑉𝑅
In an a.c circuit, the ratio of the applied voltage, V to the Current, I is called the
impedance, Z.
𝑉

𝑍 = 𝐼 Ω (Ohms)
If each side of the voltage triangle is divided by current, then the “impedance triangle” is
derived as follows:

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𝑍 = √𝑉𝑅 2 + 𝑋𝑐 2
Which gives;
𝑡𝑎𝑛𝛼 =

𝑋𝑐
𝑅

, 𝑖𝑛𝑒 𝛼 =

𝑋𝑐
𝑍

, cos 𝛼 =

𝑅
𝑍

Procedure:
a) The required apparatus were assembled on the working desk.
b) The circuit was connected as shown below:

c) The results were read on the display from the functional generator...