Electric Circuits Quiz - Series and Parallel
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Questions and Answers

In a series circuit, how does the current behave?

  • It is unpredictable.
  • It increases at each resistor.
  • It is the same across all components. (correct)
  • It decreases across all components.

In a parallel circuit, the voltage across each branch is different.

False (B)

What is the formula for calculating equivalent resistance in a parallel circuit?

1/Req = 1/R1 + 1/R2 + ...

In a series circuit, the total voltage is equal to the sum of the voltages across each resistor, or V = V1 + V2 + ___.

<p>Vn</p> Signup and view all the answers

Match the following types of circuits with their correct properties:

<p>Series Circuit = Total resistance is the sum of resistances Parallel Circuit = Total current is the sum of currents</p> Signup and view all the answers

What is the formula to calculate total current in a circuit?

<p>I = V/R (C)</p> Signup and view all the answers

In a combination circuit, total voltage is the same across all components in series.

<p>True (A)</p> Signup and view all the answers

What does Req stand for in circuit analysis?

<p>Equivalent resistance</p> Signup and view all the answers

The equivalent resistance for two resistors in parallel can be found using the formula: 1/Req = 1/R1 + 1/R2. Thus, for R1 = 10Ω and R2 = 10Ω, Req is _____Ω.

<p>5</p> Signup and view all the answers

Match the following circuit types with their characteristics:

<p>Series Circuit = Current is the same through all components Parallel Circuit = Voltage is the same across all components Combination Circuit = Contains both series and parallel paths Equivalent Resistor = Represents a single resistance value for simplification</p> Signup and view all the answers

What is the total voltage in the circuit segments with resistors $R_1$, $R_2$, $R_3$, and $R_4$?

<p>76 V (D)</p> Signup and view all the answers

In a parallel circuit, the total voltage across all components is equal to the sum of the individual voltages.

<p>False (B)</p> Signup and view all the answers

What is the formula used to calculate total current in a parallel circuit?

<p>I = I_1 + I_2 + I_3</p> Signup and view all the answers

The equivalent resistance ($R_{eq}$) of the given circuit is ___ Ω.

<p>4</p> Signup and view all the answers

Match the following resistors with their current:

<p>R1 = 4 A R2 = 2 A R3 = 4 A R4 = 4 A</p> Signup and view all the answers

What is the equivalent resistance in a series circuit with resistances of 50 Ω, 35 Ω, and 45 Ω?

<p>130 Ω (A)</p> Signup and view all the answers

In a parallel circuit, the total resistance is equal to the sum of the individual resistances.

<p>False (B)</p> Signup and view all the answers

What formula is used to calculate equivalent resistance in a series circuit?

<p>Req = R1 + R2 + R3</p> Signup and view all the answers

In a parallel circuit, the total resistance is calculated as $ rac{1}{Req} = rac{1}{R_1} + rac{1}{R_2} + rac{1}{R_3} +...$ The equivalent resistance is ___.

<p>the reciprocal of the sum of the reciprocals of the individual resistances</p> Signup and view all the answers

Match the following terms with their definitions:

<p>Series Circuit = Total resistance is the sum of individual resistances Parallel Circuit = Total resistance is the reciprocal of the sum of the reciprocals of individual resistances Equivalent Resistance = The total resistance seen by the source Resistance = Opposition to the flow of electric current</p> Signup and view all the answers

What is the total potential difference (V) across the circuit?

<p>9V (A)</p> Signup and view all the answers

The total resistance of the circuit is greater than any individual resistor's resistance.

<p>False (B)</p> Signup and view all the answers

What formula is used to calculate the total resistance in a parallel circuit?

<p>R_T = 1 / (1/R_1 + 1/R_2 + 1/R_3)</p> Signup and view all the answers

The resistance of Resistor 3 is _____ Ω.

<p>180000</p> Signup and view all the answers

Match the resistors with their corresponding resistances:

<p>Resistor 1 = 90,000 Ω Resistor 2 = 45,000 Ω Resistor 3 = 180,000 Ω Total Resistance = 25,700 Ω</p> Signup and view all the answers

Which is true about the total current in a series circuit?

<p>It remains constant across all components. (C)</p> Signup and view all the answers

In a parallel circuit, the voltage across each resistor is the same.

<p>True (A)</p> Signup and view all the answers

What is the formula for calculating the total power (P) in a circuit with multiple resistors?

<p>P = VI</p> Signup and view all the answers

In a series circuit, the total resistance (R_total) is equal to the sum of the individual resistances: R_total = R1 + R2 + _____ .

<p>R3</p> Signup and view all the answers

Match the circuit configuration with its property:

<p>Series Circuit = Current remains constant Parallel Circuit = Voltage is the same across each branch Combined Circuit = Contains both series and parallel connections Equivalent Resistance = Lower than the smallest resistor in parallel</p> Signup and view all the answers

Flashcards

Series Circuit Current

The current is the same through each part of the circuit.

Parallel Circuit Current

The total current is the sum of the currents through each branch.

Series Circuit Voltage

The total voltage is the sum of the voltages across each component.

Parallel Circuit Voltage

The voltage is the same across each branch of the circuit.

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Equivalent Resistance (Series)

The sum of individual resistances (Req = R1 + R2 + ...)

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Combination Circuit

A circuit with both series and parallel paths for electricity to flow.

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Equivalent Resistance

Single resistance value that represents a complex circuit in terms of total resistance.

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Solving Combination Circuits Steps

  1. Simplify the circuit one step at a time to a single equivalent resistor. 2. Calculate the total resistance. 3. Calculate the total current. 4. Find the voltage and currents in the original branches.
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Series Circuit Total Voltage

Total voltage is equal to the sum of the individual voltages across each resistor in the circuit. (Vtotal = V1 + V2 +...)

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Parallel Circuit Total Voltage

The voltage across each branch of the parallel circuit is the same as the total voltage supplied to the circuit .

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Total Resistance in Parallel

The reciprocal of the total resistance (1/Rtotal) is equal to the sum of the reciprocals of each individual resistance (1/R1 + 1/R2 + ...).

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Power in a Circuit

Power is the rate at which energy is transferred or used in a circuit, calculated as the product of voltage and current (P = VI).

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Calculate Total Voltage

In a series circuit, the total voltage (Vtotal) is equal to the sum of the voltage drops across each individual component (V1 + V2 + ...).

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Series Resistance

The total resistance in a series circuit is the sum of all individual resistances.

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Parallel Resistance Formula

The reciprocal of the total resistance in a parallel circuit is equal to the sum of the reciprocals of all individual resistances.

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Total Resistance (Series) Formula

The total resistance ($R_{eq}$) in a series circuit is calculated by adding the individual resistances ($R_1$, $R_2$, etc.)

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Parallel Circuit Resistance

The total resistance in a parallel circuit is calculated by finding the sum of the reciprocals of each individual resistor's resistance.

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Reciprocal of Resistance

The reciprocal of the resistance is calculated by dividing 1 by the resistance value. This concept is essential for calculating the total resistance in a parallel circuit.

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Inverse of Total Resistance

The inverse of the total resistance in a parallel circuit is equal to the sum of the inverses of individual resistances.

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Total Resistance Formula (Parallel)

The total resistance in a parallel circuit is given by the formula: 1/RT = 1/R1 + 1/R2 + 1/R3 ... where RT is the total resistance, and R1, R2, R3 ... are the resistances of individual resistors.

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Calculating Total Resistance (Parallel)

To calculate the total resistance of a parallel circuit, find the reciprocal of each resistor, add these reciprocals together, and then take the reciprocal of the sum. This will give you the total resistance of the circuit.

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