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Equivalent Resistance Worksheet

A Grade 11 Science worksheet focusing on understanding and calculating equivalent resistance in series and parallel circuits.

Grade 11 Science PhysicsEquivalent Resistance
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Multiple ChoiceFill in the BlanksShort AnswerCustom

Standards

HS-PS2-6HS-PS3-3

Topics

PhysicsEquivalent ResistanceCircuitsSeriesParallel
6 sections · Free to use · Printable
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Equivalent Resistance Worksheet

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Read each question carefully and provide the best answer. Show all your work for calculation problems.

1. Which of the following statements is true for resistors connected in series?

a

The voltage drop across each resistor is the same.

b

The current flowing through each resistor is the same.

c

The equivalent resistance is less than the smallest individual resistance.

d

The reciprocal of the equivalent resistance is the sum of the reciprocals of individual resistances.

2. For resistors connected in parallel, the total current from the source is:

a

The same as the current through each resistor.

b

Less than the current through any single resistor.

c

The sum of the currents through each resistor.

d

Cannot be determined without knowing the resistance values.

1. When resistors are connected in series, the equivalent resistance is always   than the largest individual resistance.

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

3. Kirchhoff's   Law states that the sum of currents entering a junction equals the sum of currents leaving it.

1. Calculate the equivalent resistance of three resistors (R1 = 10 Ω, R2 = 15 Ω, R3 = 20 Ω) connected in series.

2. Calculate the equivalent resistance of the same three resistors (R1 = 10 Ω, R2 = 15 Ω, R3 = 20 Ω) connected in parallel.

Consider the circuit diagram below:

Series Circuit Diagram

If R1 = 5 Ω, R2 = 10 Ω, and the voltage source is 12 V, calculate the following:

a) The total equivalent resistance of the circuit.

b) The total current flowing through the circuit.

c) The voltage drop across R1 and R2.