Home / iGCSE Physics (0625) 4.2.5 Electrical energy and electrical power-Exam Style Questions

iGCSE Physics (0625) 4.2.5 Electrical energy and electrical power-Exam Style Questions- New Syllabus

Question

A circuit contains a cell with an electromotive force (e.m.f.) of $2.0\text{ V}$. The current in the circuit is $2.0\text{ A}$.

How much energy is transferred by the cell in $2.0\text{ minutes}$?

A. $2.0\text{ J}$
B. $4.0\text{ J}$
C. $8.0\text{ J}$
D. $480\text{ J}$
▶️ Answer/Explanation
Correct Option: D

Detailed solution:

To find the energy transferred, we use the electrical energy formula $E = IVt$.
First, convert the time from minutes to seconds: $t = 2.0 \times 60 = 120\text{ s}$.
Given values are e.m.f. $V = 2.0\text{ V}$ and current $I = 2.0\text{ A}$.
Substitute these into the equation: $E = 2.0\text{ A} \times 2.0\text{ V} \times 120\text{ s}$.
Calculating the product gives $E = 480\text{ J}$.
Therefore, the total energy transferred by the cell in the given duration is $480\text{ J}$.

Question

A lamp has a metal filament that glows when heated by an electric current.
The middle of the filament has a very high temperature. The ends of the filament are connected to the base of the lamp and are cooler.
Which statement is correct?
A. Some thermal energy is conducted to the base of the lamp.
B. The filament radiates energy equally at all points along its length.
C. The lamp transfers all of the input energy as visible light.
D. When the potential difference (p.d.) across the filament is halved, the power output is halved.
▶️ Answer/Explanation
Correct Option: A

Detailed solution:

Thermal energy naturally flows from regions of higher temperature to lower temperature via conduction through solids.
Since the middle of the filament is at a very high temperature and the ends are cooler, energy is conducted toward the base.
Option B is incorrect because the rate of radiation depends on temperature; therefore, the hotter middle radiates more energy than the cooler ends.
Option C is incorrect as energy is also transferred via infrared radiation (heat) and conduction, not just visible light.
Option D is incorrect because power is proportional to the square of the voltage, $P = \frac{V^{2}}{R}$.
If the potential difference $V$ is halved to $\frac{V}{2}$, the power output becomes $\frac{1}{4}$ of its original value, assuming resistance $R$ is constant.

Question
A torch has a simple circuit with a $3.0\text{ V}$ battery and a lamp. There is a $20\text{ mA}$ current in the lamp. How much energy is transferred to the lamp in $5.0\text{ minutes}$?
A. $0.30\text{ J}$
B. $18\text{ J}$
C. $60\text{ J}$
D. $0.30\text{ kJ}$
▶️ Answer/Explanation
Correct Option: B

Detailed solution:

First, convert all units to SI: current $I = 20\text{ mA} = 0.020\text{ A}$ and time $t = 5.0\text{ mins} = 5.0 \times 60 = 300\text{ s}$.
The electrical energy transferred is calculated using the formula $E = VIt$, where $V$ is potential difference.
Substituting the values: $E = 3.0\text{ V} \times 0.020\text{ A} \times 300\text{ s}$.
Calculating the product gives $E = 0.06 \times 300 = 18\text{ J}$.
This matches Option B exactly.

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