Basic Electricals - Section 3
Type of Resistors and Circuit Conditions
This section focus on the practical behavior of resistive components and abnormal circuit conditions. These concepts are important because real electrical systems do not always operate under ideal conditions of V = IR. Components change with temperature and voltage, and faults such as open circuits and short circuits can significantly alter current and voltage distribution.

A. Types of Resistors
A resistor is an electrical component designed primarily to provide a specified resistance and control current or voltage in a circuit.
The resistance is measured in ohms (Ω).
For an approximately constant resistance: V=IR
Resistors can be classified in several ways.
A.1 Fixed Resistors
A fixed resistor has a resistance value that is intended to remain approximately constant under normal operating conditions.
Common types include:
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Carbon film
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Metal film
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Wire-wound
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Thick-film
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Thin-film
For example, a 10 kΩ resistor ideally provides approximately: R=10 kΩ
regardless of the normal operating current, provided its voltage and power ratings are not exceeded.
A.2 Variable Resistors
A variable resistor allows its resistance to be adjusted.
Examples include:
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Potentiometers
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Rheostats
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Trimmers
A potentiometer is commonly used as an adjustable voltage divider.
For example, a potentiometer connected across a DC supply can provide an adjustable output voltage.
Q1. What is a Thermistor?
A1. A thermistor is a resistor whose resistance changes significantly with temperature.
The name comes from: THERMal + resISTOR
Thermistors are commonly used for:
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Temperature measurement
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Temperature compensation
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Over-temperature protection
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Inrush-current limiting
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Electronic control systems
There are two principal types.
a) NTC Thermistor
NTC = Negative Temperature Coefficient
For an NTC thermistor:
Temperature increases => Resistance decreases
NTC thermistors are widely used for temperature sensing.
A simplified conceptual relationship is: R ↓ as T ↑
Example
Suppose an NTC thermistor has: R = 10 kΩ at a particular temperature.
As its temperature rises, its resistance may fall significantly.
This change can be detected by an electronic circuit and converted into a temperature measurement.
b) PTC Thermistor
PTC = Positive Temperature Coefficient
For a PTC thermistor:
Temperature increases => Resistance increases
PTC devices can therefore be used for:
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Overcurrent protection
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Resettable protection
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Motor protection
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Temperature sensing
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Circuit protection
Important distinction
A normal metallic resistor also generally has a positive temperature coefficient, but a thermistor is specifically designed to have a much stronger and more useful resistance-temperature relationship.
Q2. What is a Varistor?
A2. A varistor is a voltage-dependent resistor. Its resistance changes according to the voltage applied across it.
The most common type is the MOV — Metal Oxide Varistor.
Varistors are primarily used for transient voltage protection.
Normal operating condition
Under normal voltage, a varistor has relatively high resistance and carries only a small leakage current.
Voltage surge
When the voltage rises significantly above its normal operating level, the varistor's resistance decreases sharply. It then provides a path for surge current and limits the voltage appearing across the protected equipment.
Conceptually: R ↓ as V ↑ during the varistor's nonlinear conduction region.
Example: Surge Protection
Consider a sensitive electronic control circuit supplied at a normal voltage.
A voltage transient occurs due to:
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Lightning
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Switching operations
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Inductive load switching
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Fault clearing
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Other transient events
The MOV can conduct heavily during the transient and help clamp the voltage to a safer level.
Important point
A varistor is not simply a normal resistor whose value is manually changed. Its resistance changes nonlinearly with applied voltage.
Q3. What is Short Circuit?
A3. A short circuit occurs when two points having different electrical potentials become connected through a very low impedance path.
An ideal short circuit is represented by: R = 0Ω.
Therefore, from Ohm's law: I = V/R, an ideal zero-resistance path would theoretically produce infinite current for a non-zero voltage.
However, real short-circuit currents are not infinite because the source, conductors, transformers, generators and other parts of the system have finite impedance.
A more realistic expression is: ISC = V / Zsystem
where Zsystem represents the total impedance limiting the fault current.
Q4. What is Open Circuit?
A4. An open circuit occurs when the electrical path is interrupted.
An ideal open circuit has: R → ∞
Therefore, from Ohm's law: I = V/R = 0A, an ideal open circuit allows no current to flow through the open path.
Note:
Open circuit current = 0A but voltage may exist
Q5. What are effects of open/short conditions on series and parallel circuits?
A5. Followings are the details on how open and short circuits effect series and parallel networks.
a) Open Circuit Condition in a Series Circuit
Consider a series circuit consists of: R1 - R2 - R3
If one component becomes open: R2 → ∞
then the complete current path is interrupted.
Therefore: I = 0A through the series circuit.
Example:
A control circuit contains 24 V supply → fuse → switch → relay coil → return.
If the switch becomes open, the relay coil cannot receive current.
The relay does not energize.
b) Open Circuit Condition in a Parallel Circuit
Consider a parallel circuit consists of: R1 || R2 || R3
If one component becomes open: R2 → ∞, I2 = 0A.
But the other branches may continue operating.
Therefore: An open branch does not necessarily interrupt the entire parallel circuit.
Note:
This is one reason parallel connections are commonly used for independent loads.
c) Short Circuit Condition in a Series Circuit
Consider a series circuit consists of: R1 - R2 - R3
If one component becomes short: R2 → 0Ω, the component effectively becomes bypassed.
But the other components may continue operating.
Therefore: A short component does not necessarily interrupt the entire series circuit.
d) Short Circuit Condition in a Parallel Circuit
Consider a parallel circuit consists of: R1 || R2 || R3
If one component becomes short: R2 → 0Ω,
the equivalent resistance becomes approximately: RT → 0Ω.
Therefore: a very large current can flow through the circuit, limited by the source and system impedance.
Example:
If a 24 V supply has a 0.1 Ω effective source/loop resistance and its output is accidentally shorted:
ISC = 24 / 0.1 = 240A.
The power supply or protective device must be capable of safely handling or interrupting this fault condition.
Q6. What is Relative Potential?
A6. Relative potential describes the electrical potential of one point compared with another reference point.
Voltage is fundamentally a difference in electrical potential.
If point A has potential: VA = 15 V, VB = 5 V.
then the voltage of A relative to B is: VAB = VA - VB = 15 - 5 = 10 V.
This means point A is 10 V higher in potential than point B.
Changing the Reference Point:
VAB = VA - VB = 15 - 5 = 10 V but VBA = VB - VA = 5 - 15 = -10 V.
The negative sign simply indicates that B is 10 V lower in potential than A.
Ground or Reference Potential
In circuit analysis, one point is often selected as the reference node, commonly assigned: 0V.
Practice MCQ
1. An ideal short circuit has resistance equal to:
A. 1 Ω
B. Infinite
C. Zero
D. Very high
2. An ideal open circuit has:
A. Zero resistance
B. Infinite resistance
C. Negative resistance
D. 1 Ω resistance
3. The current through an ideal open circuit is:
A. Infinite
B. Maximum
C. Zero
D. 1 A
4. The voltage across an ideal short circuit is:
A. Infinite
B. Zero
C. Equal to supply voltage always
D. Negative
5. If one resistor in a series circuit becomes open, the circuit current becomes:
A. Maximum
B. Zero
C. Half
D. Double
6. If one branch of a parallel circuit becomes open, the current in the other healthy branches will generally:
A. Become zero
B. Continue to flow
C. Become infinite
D. Reverse automatically
7. A thermistor is primarily a:
A. Current-controlled resistor
B. Temperature-dependent resistor
C. Voltage source
D. Capacitor
8. In an NTC thermistor, when temperature increases, resistance:
A. Increases
B. Decreases
C. Remains constant
D. Becomes infinite
9. A varistor is primarily a:
A. Voltage-dependent resistor
B. Temperature-independent resistor
C. Current source
D. Capacitor
10. If potential at point A is 15 V and potential at point B is 5 V, then VAB is:
A. 5 V
B. 10 V
C. 15 V
D. 20 V
Answers:
‘1. C, 2. B, 3. C, 4. B, 5. B, 6. B, 7. B, 8. B, 9. A, 10. B.
Practice Problems
1. A 48 V DC supply is connected to a 24 Ω resistor.
Calculate:
a) Current through the resistor
b) Power dissipated by the resistor
c) Energy dissipated in 5 minutes.
2. An NTC thermistor has a resistance of 10 kΩ at 25°C. At 75°C, its resistance decreases to 2.5 kΩ.
Calculate:
a) The change in resistance
b) Percentage decrease in resistance
c) The resistance ratio between 25°C and 75°C.
3. A 24 V DC power supply has a total internal and circuit resistance of 0.08 Ω during a short-circuit condition.
Calculate the approximate short-circuit current.
4. A 24 V DC supply feeds three parallel branches:
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Branch 1: R1=12 Ω
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Branch 2: R2=6 Ω
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Branch 3: R3=4 Ω
Calculate the total current when:
a) All three branches are healthy
b) Branch 2 becomes open
c) Branch 3 becomes short-circuited.
5. Three points in a DC control circuit have the following potentials relative to the circuit reference:
VA=+110 V, VB=+70 V, VC=−10 V
Calculate:
a) VAB
b) VBC
c) VAC
d) VBA.