Equivalent Resistance Worksheet
A Grade 9 Science worksheet focusing on understanding and calculating equivalent resistance in series and parallel circuits.
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Standards
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Equivalent Resistance Worksheet
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Read each question carefully and answer to the best of your ability. Show all your work for calculation problems.
1. What is the formula for calculating the equivalent resistance of resistors connected in series?
R_eq = R1 + R2 + ...
1/R_eq = 1/R1 + 1/R2 + ...
R_eq = R1 * R2
R_eq = (R1 + R2) / 2
2. In a parallel circuit, how does the equivalent resistance compare to the individual resistances?
It is always greater.
It is always smaller than the smallest individual resistance.
It is equal to the largest individual resistance.
It can be greater or smaller depending on the values.
3. When resistors are connected in a series circuit, the current flowing through each resistor is .
4. In a parallel circuit, the voltage drop across each resistor is .
5. The unit of resistance is the .
6. A series circuit has three resistors with resistances of 5 Ω, 10 Ω, and 15 Ω. Calculate the equivalent resistance of the circuit.
7. Two resistors, 20 Ω and 30 Ω, are connected in parallel. What is their equivalent resistance?
8. Draw a simple circuit diagram showing two resistors connected in series to a voltage source. Label the resistors and the voltage source.
9. Adding more resistors in series increases the total equivalent resistance of the circuit.
True
False
10. In a parallel circuit, if one resistor fails, the entire circuit will stop working.
True
False