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CIE iGCSE Co-Ordinated Science P4.5.2 The a.c. generator Exam Style Questions Paper 1

Question

The table shows the voltage across and the current in four lamps.

Which lamp has the greatest resistance?

▶️ Answer/Explanation
Using the formula \(R = \frac{V}{I}\), the resistance for each lamp is calculated: A = \(\frac{2.0}{0.40} = 5.0 \, \Omega\), B = \(\frac{4.0}{0.50} = 8.0 \, \Omega\), C = \(\frac{6.0}{2.0} = 3.0 \, \Omega\), D = \(\frac{12}{3.0} = 4.0 \, \Omega\). Lamp B has the highest resistance of 8.0 Ω.
Answer: (B)

Question

Which quantity is a flow of electrons through an electrical conductor?

A. current
B. power
C. resistance
D. voltage

▶️ Answer/Explanation
Electric current is defined as the rate of flow of electric charge, and in metallic conductors, this charge is carried by delocalised electrons moving through the material. Power is the rate of energy transfer, resistance opposes current, and voltage is the driving force that causes current to flow.
Answer: (A)

Question

There is a current of 4.0 A in a resistor. The voltage across the resistor is 8.0 V.

What is the resistance of the resistor?

A. \(0.50 \ \Omega\)
B. \(2.0 \ \Omega\)
C. \(12 \ \Omega\)
D. \(32 \ \Omega\)

▶️ Answer/Explanation
Using Ohm’s law: \(R = \frac{V}{I} = \frac{8.0}{4.0} = 2.0 \ \Omega\). The resistance is the ratio of voltage to current.
Answer: (B)

Question

The diagram shows a circuit containing three cells, a variable resistor and an electric motor.

Which actions together must increase the speed of the motor?

A. decreasing the number of cells and decreasing the resistance of the variable resistor
B. decreasing the number of cells and increasing the resistance of the variable resistor
C. increasing the number of cells and decreasing the resistance of the variable resistor
D. increasing the number of cells and increasing the resistance of the variable resistor

▶️ Answer/Explanation
Increasing the number of cells increases the voltage (potential difference) across the motor, which increases the current flowing through it. Decreasing the resistance of the variable resistor also allows more current to flow. Since the speed of a motor increases with more current, both actions together will increase the motor’s speed. Therefore, option C is correct.
Answer: (C)

Question

Which circuit is suitable for determining the resistance of the fixed resistor?

▶️ Answer/Explanation
To determine the resistance of a fixed resistor using \(R = \frac{V}{I}\), the voltmeter must be connected in parallel with the resistor to measure the potential difference across it, and the ammeter must be connected in series with the resistor to measure the current flowing through it. Option D correctly shows the voltmeter in parallel and the ammeter in series with the resistor. Options A, B, and C have incorrect meter connections that would give inaccurate readings or damage the meters.
Answer: (D)
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