Physics 10 Grade MYP
SOI: Understanding changes in interactions, allow us to address our demands effectively
In this topic you will:
  1. Define electrical work and electrical power
  2. Calculate electrical energy used in appliances
  3. Calculate power
  4. Calculate electricity costs and tariffs.

Skills:

Communication skills

— Take effective notes in class

Strategy: For note-taking, you can use strategies such as the Cornell method, mind maps.

Thinking

— Generate metaphors and analogies

Key terms

 

EnglishRussianKazakh
electric circuitэлектрическая цепьэлектр тізбегі
Electrical energyЭлектрическая энергияэлектр энергиясы
do workсовершать работужұмыс істеу
transfer of energyпередача энергииэнергияның берілуі
work doneсовершённая работажасалған жұмыс
rate of energy transferскорость передачи энергииэнергияның берілу жылдамдығы
cost of electricityстоимость электроэнергииэлектр энергиясының құны
ATL skills
Thinking

— Generate metaphors and analogies

Generating metaphors and analogies is useful in science because it helps visualize abstract concepts, improves understanding and memory, supports problem-solving, encourages creative thinking, and allows clear communication of complex ideas.

What are the differences between electrical energy, electrical work, and electrical power? How much money do we spend on electricity?

Electrical work

 

fig A As part of this circuit, the heart will convert some electrical energy into kinetic energy. The circuit is doing work.

The measurement of voltages in electric circuits has shown us that these deal with the conversion of energy by components. Energy must always be conserved, and electric circuits are no exception to this. When components convert electrical energy into other useful forms, they can be considered to be doing work, as this is defined as a transfer of energy.

 

Electrical work

Work done has the symbol W, and as the equation defining potential difference includes a term for the amount of energy transferred, E, these two will be the same.

W =E

The equation for potential difference, in rearranged form, gives us:

Table 1. Equation for work

EquationSymbolUnits
W=workJoules (J)
V=potential differenceVolts (V)
q=electric chargeCoulombs (C)

The definition of current, in rearranged form, is the equation

 

Table 2. Equation for charge

EquationSymbolUnits
q=electric chargeCoulombs (C)
I=currentAmperes (A)
t=timeSeconds (s)

 

Combining these will give us the work done by a component in an electric circuit:

Table 3. Equation for work

EquationSymbolUnits
W=workJoules (J)
V=potential differenceVolts (V)
I=currentAmperes (A)
t=timeSeconds (s)
Worked example 1Worked example 2

In fig B, If the bulb lights up for 4.85 seconds, how much work has the bulb done?

Step 1: Identify the given information.

t = 4.85 J

V = 7.06 V

I = 1.45 A

Step 2: Identify the missing variable.

W= ?

Step 3: State the formula

Step 4: Substitute the values and calculate.

W=49.6 J

A student sets up a circuit using a power supply. The voltmeter in the circuit reads 12.0 V, and the ammeter reads a current of 2.5 A. If the circuit does 4500 J of electrical work while the light bulb is on, how long was the power supply running? Give your answer in seconds and minutes.

 

Step 1: Identify the given information.

W = 4500 J

V = 12.0 V

I = 2.5 A

Step 2: Identify the missing variable.

t= ?

Step 3: State the formula and rearrange it.

The standard formula is:

To isolate t:

Step 4: Substitute the values and calculate.

t=150s=2.5 min

Sources:

  1. Hudson, M. (2015). Edexcel AS/A level physics 1. Pearson Education Limited.
  2. Gemini. (2025). Response to a prompt to draw an electric circuit and create a working example. https://gemini.google.com/
Activity 1

Electrical work

ATL skill

Communication skills: Take effective notes in class

Take notes by Cornell method to help you answer these guiding questions:

  1. What is ‘electrical work’?
  2. What is the unit of the electrical work?
  3. What is the formula for calculation of electrical work?
Activity 2

Changes in Electrical Work

  1. State the definition of electrical work.
  2. Match each physical quantity with the correct unit. Some units may be used more than once.


Describe what happens to the amount of electrical work if the current or voltage changes.

  1. Put the elements in the correct order to explain   why increasing the resistance in a circuit can change the amount of electrical work done.

Power

Power, P, is the rate of transfer of energy, or the rate of doing work. In an electrical circuit, the energy is dissipated by a component. The mathematical definition is:

Table 1. Equation for power

EquationSymbolUnits
W=workJoules (J)
t=timeSeconds (s)
P=powerWatts (W)

 

Incorporating the equation for work in a circuit from above:

Table 2. Equation for power

EquationSymbolUnits
P=powerWatts (W)
V=potential
difference
Volts (V)
I=currentAmperes (A)

 

Cost of electricity

The electricity board metres in homes, offices and other buildings show how much electricity was used in the building. Readings on the meter (fig 1)  give the total amount of energy supplied in “units”. The board meters use kilowatt-hours (kW-h) as the unit of electrical energy. The Electricity Board determines the price for
each unit. To calculate the cost of electricity, the price per unit is multiplied by the total amount of electricity used:

Cost of the electricity in the World

https://worldpopulationreview.com/country-rankings/cost-of-electricity-by-country

 

Worked example 1Worked example 2Worked example 3

A toaster is connected to a 220 V supply and draws a current of 3 A for 10 s. Calculate the electrical work done.

Problem: A toaster is connected to a 220 V supply and draws a current of 3 A. Calculate its power.

Step 1: Identify the given information

𝑉=220V

𝐼=3A

Step 2: Identify the missing variable

𝑃=?

Step 3: State the formula

Step 4: Substitute the values and calculate

P=220*3=660 W

A 100 Ω resistor is connected to a 12 V battery. Calculate the electrical power.

Step 1: Identify the given information

𝑉=12 V

𝑅=100Ω

Step 2: Identify the missing variable

𝑃=?

Step 3: State the formula

Step 4: Substitute the values and calculate

P=1.44 W

An electric heater with
a power of 2 kW is used for 5 hours per day for 30 days. The electricity tariff is 25 KZT per kWh. Calculate the total cost of electricity.

Step 1: Identify the given information

P=2kW

t=5h/day*30days=150h

Tariff=25 KZT /kWh

Step 2: Identify the missing variable

Cost=?

Step 3: State the formula

Step 4: Substitute the values and calculate

E=2×150=300 kWh

Cost=300×25

Cost=7500 KZT

 

Sources:

  1.  Hudson, M. (2015). Edexcel AS/A level physics 1. Pearson Education Limited.
  2.  Gemini. (2025). Response to a prompt to create a working example. Google. https://gemini.google.com/
  3. Zambak Publications. (n.d.). Physics: Electricity and magnetism. Zambak Publishing.

 

Activity 1Activity 2Activity 2

ATL

Communication skills: Take effective notes in class

Take notes by Cornell method to help you answer these guiding questions:

1.What is ‘power’?

2.What is the unit of the power?

  1. What is the formula for calculation of electrical power?

State the correct terms for each clue in the crossword below. Use your knowledge of electrical work, power, current, voltage, and resistance to complete the puzzle.

A family in Kazakhstan receives their monthly electricity bill and is surprised that it is very high. They believe:
“The appliance that works the longest always costs the most.”

Table 3. Data of appliances

AppliancePower (W)Time used
per day (h)
LED light bulb108
Refrigerator15024
Electric kettle20000.5
TV1005
Laptop606

Electricity cost: 30 KZT per kWh

Analyse the appliances (table 1):

  • Which appliance uses the most energy?
  • Which appliance costs the most per day?

Identify patterns:

  • Does longer usage time always mean higher cost?
  • How does power rating vs time affect energy consumption?