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Sys Eng - Electrical > Series Circuit and Parallel Circuit > Flashcards

Series Circuit and Parallel Circuit Flashcards

1
Q

Series Resistance

  1. The resistors connected in one non-branched wire is said to be connected in series, whereas resistors connected in a branched wire is said to be connected in parallel.
  2. In the diagram above, (a), (b) and (c) are series circuit whereas (d), (e) (f) and (g) are parallel circuits.
A
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2
Q

Parallel Resistance

In a parallel circuit, the effective resistance of the resistors can be calculated from the following equation.

A
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3
Q

Current in a Parallel Circuit

The current flow into a parallel circuit is equal to the sum of the current in each branch of the circuit.

Example

If the resistance of the 2 resistors is the same, current will be divided equally to both of the resistors.

A
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4
Q

Finding Resistance of an Individual Resistor

Example

Given that the equivalent resistance of the connection in the figure above is 0.8Ω, find the resistance of the resistor R.

Answer:

A
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5
Q

Comparing Resistances in

Series/Parallel/Combo Circuits

  1. In a series circuit, the more resistors with equal resistance in the circuit, the higher the effective resistance of the circuit.
  2. In a parallel circuit, the more resistors with equal resistance in the circuit, the lower the effective resistance of the circuit.
A
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6
Q

Find the equivalent resistance of the connection shown in the diagram above.

A

(a)

(b)

(c)

(d)

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7
Q

Given that the equivalent resistance of the connection in the figure above is 4Ω, find the resistance of the resistor R.

A
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8
Q

Current in a Series Circuit

The current flow into a resistor = the current flow inside the resistor = the current flows out from the resistor

In a series circuit, the current at any points of the circuit is the same.

A
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9
Q

Potential and Potential Difference in a Series Circuit

The sum of the potential difference across individual resistor in between 2 points in a series circuit is equal to the potential difference across the two points.

Example

A
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10
Q

Potential (Voltages) in a Parallel Circuit

The potential difference across all resistors in a parallel circuit is the same.

Example

A
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11
Q

Finding Current in a Series Circuit

  1. In a series circuit, the current flow through each of the resistor is equal to the current flows through the whole circuit.
  2. Potential difference (V) across the whole circuit is equal to the e.m.f. (E) if the internal resistance is ignored.
  3. Effective resistance for the whole circuit = R1 + R2
  4. By Ohm’s Law
A
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12
Q

For the circuit in the diagram above,

  1. find the reading of the ammeter.
  2. find the current flows through the resistor.
A

a.
Potential difference across the 2Ω resistor, V = 12V
Resistance, R =2Ω

b.
The current flows through the resistor
= the reading of the ammeter
= 6A

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13
Q

For the circuit above,

  1. find the reading of the ammeter.
  2. find the current flows through each of the resistors.
A

a.
Potential difference across the 2 resistors, V = 12V
The equivalent resistance of the 2 resistors, R =6Ω

b.
The current flows through the resistors
= the reading of the ammeter
= 2A

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14
Q

Finding Current in a Parallel Circuit

In parallel circuit, the potential difference (V) across each of the resistors is equal to the e.m.f. (E) if the internal resistance of the cell is ignored.

By Ohm’s Law

A
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15
Q

For the diagram above,

a. find the reading of the ammeter.
b. find the current in each of the resistors.

A

a.
Effective resistance of the 2 resistors in parallel

Potential difference across the 2 resistances, V = 3V

Reading of the ammeter = 1.5A

b.

Current flowing R3 and R6 resoectively:

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16
Q

Figure above shows 3 identical resistors connected in parallel in a circuit. Given that the resistance of the resistors are 6Ω each. Find the reading of all the ammeters in the figure above.

A

The potential diffrence across the resistors V = 6V
For ammeter A,
The equivalent resistance = 6/3 = 2Ω.

For ammeter A1 and A2 respectively:

17
Q

Finding Potential Difference in a Series Circuit

In the circuit above, if the current in the circuit is I, then the potential difference across each of the resistor is

18
Q

Find the potential difference across each of the resistors in the diagram above.

A

The potential difference across the 2 resistors, V = 12V
The equivalent resistance of the 2 resistors, R = 2 + 4 = 6Ω
Current pass through the 2 resistor,

For resistor R1 and R2 respectively:

Sys Eng - Electrical (11 decks)

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