IGCSE Physics 0625: Electricity Practice and Worked Solutions

Why does adding a parallel branch increase the source current? Try it in a virtual circuit, then connect what you see to the equations. Practise resistance, power and energy without mixing up quantities or units.

Official syllabus version 2 for examinations in 2026–2028 and links checked 2 October 2026. Original TutorMax questions and solutions.

EXPLORE BEFORE YOU CALCULATE

Build your intuition for circuits

Change one value at a time. Predict what happens to the current, then check the model. Parallel calculations are Supplement skills.

One path for the current

12 VR₁: 6 ΩR₂: 3 ΩI₁ = I₂ = 1.33 ASource current: 1.33 A

Ideal source and fixed resistors. Values shown to at most two decimal places. This model excludes heating, wire resistance and internal resistance.

Equivalent resistance
9 Ω
Source current
1.33 A
Current through R₁
1.33 A
Current through R₂
1.33 A

R = R₁ + R₂ = 6 + 3 = 9 Ω

The same current passes through both components. The supply voltage is shared between them.

Predict before you move

Keep the voltage and both resistors fixed. What happens to the source current when you change from series to parallel?

Choose an answer to check your reasoning.

Use this virtual circuit to explore calculations. Do not recreate circuits using mains electricity.

Now explain it in a practice question →

Three quantities. One resistor. Different answers.

A resistor has 6.0 V across it and 0.25 A through it. Find its resistance, power and energy transferred in 60 seconds. Assume its resistance stays constant.

A power transfer of 1.5 watts means 1.5 joules every second. Over 60 seconds, the total energy transferred is 90 joules.Power1.5 W1.5 J each secondEnergy90 Jtotal transferred1.5 J/s × 60 s = 90 JFor 60 seconds
A power transfer of 1.5 watts means 1.5 joules every second. Over 60 seconds, the total energy transferred is 90 joules.
  1. Resistance: how much does it oppose current?

    Use the voltage across and current through this same resistor.

    R=VI=6.00.25=24 ΩR=\frac{V}{I}=\frac{6.0}{0.25}=24\,\Omega
  2. Power: how fast is energy transferred?

    A watt is one joule per second.

    P=IV=0.25×6.0=1.5 WP=IV=0.25\times6.0=1.5\text{ W}
  3. Energy: how much over the whole time?

    Multiply the transfer rate by the time in seconds.

    E=IVt=1.5×60=90 JE=IVt=1.5\times60=90\text{ J}

Match this practice to the confirmed route

For the 2026–2028 syllabus, Core uses Papers 1 and 3; Extended uses Papers 2 and 4. Both routes also take Paper 5 or Paper 6. The school confirms the entry. The syllabus's Core/Supplement labels matter: Q4 uses parallel-circuit calculations and Q5 uses I = Q/t, which are Supplement skills.

Swipe across the table to see all columns.

Use hereQuestionsThen return to
Core electricity skillsQ1, Q2, Q3, Q6School-confirmed Core paper and practical component
Supplement calculation skillsQ4, Q5School-confirmed Extended paper and practical component

Your turn: choose the quantity before the equation

Core starters: Q1–Q3 and Q6. Supplement calculations: Q4–Q5. Start with Q1 and Q2 if time is short. Work on paper before revealing an answer; these calculations do not replace practical preparation.

Q1Resistance & powerCore · start here

A fixed resistor has 12 V across it and current 0.40 A through it. Calculate its resistance and power.

Need a starting hint?

Resistance uses division; power uses multiplication. Write the required unit first.

Show worked solution
  1. Find resistance

    Use voltage divided by current.

    R=120.40=30 ΩR=\frac{12}{0.40}=30\,\Omega
  2. Find power

    Use current multiplied by voltage.

    P=0.40×12=4.8 WP=0.40\times12=4.8\text{ W}

Answer: Resistance 30 Ω; power 4.8 W.

Before moving on: can you explain why your method works, as well as give the answer?

Q2Time conversion & energyCore · start here

A device has a 5.0 V supply and draws 0.20 A steadily for 3 minutes. Find the transferred energy in joules.

Need a starting hint?

Convert minutes to seconds before using E = IVt.

Show worked solution
  1. Convert the duration

    Three minutes is 180 seconds.

    t=3×60=180 st=3\times60=180\text{ s}
  2. Calculate energy

    Substitute the converted time.

    E=IVt=0.20×5.0×180=180 JE=IVt=0.20\times5.0\times180=180\text{ J}
  3. Check the meaning

    The power is 1.0 W: one joule each second for 180 seconds.

Answer: 180 J.

Before moving on: can you explain why your method works, as well as give the answer?

Q3Series resistanceCore · build confidence

Resistors of 8 Ω and 12 Ω are connected in series. Find their combined resistance. What happens if another 5 Ω resistor is added in series?

A closed series circuit contains 8 ohm and 12 ohm resistors in a single path. The same current passes through both resistors. The battery voltage is not specified.8 Ω12 Ω+ / −One path → same currentCombined resistance: add the resistors
A closed series circuit contains 8 ohm and 12 ohm resistors in a single path. The same current passes through both resistors. The battery voltage is not specified.
Need a starting hint?

There is one current path. Series resistances add.

Show worked solution
  1. Add the two resistances

    Both components are on the same path.

    R=8+12=20 ΩR=8+12=20\,\Omega
  2. Add the new component

    Adding positive resistance in series increases the total.

    Rnew=20+5=25 ΩR_{\text{new}}=20+5=25\,\Omega

Answer: 20 Ω initially; 25 Ω after adding the third resistor.

Before moving on: can you explain why your method works, as well as give the answer?

Q4Parallel branch & source currentsSupplement · apply it

Resistors of 6 Ω and 3 Ω are connected in parallel across an ideal 12 V source. Find both branch currents, source current and equivalent resistance.

An ideal 12 volt source connects to two parallel branches: a 6 ohm resistor above and a 3 ohm resistor below. Each branch has the same 12 volt potential difference. Current splits at the first junction and recombines at the second.6 Ω3 Ω12 VSame voltage across both branches
An ideal 12 volt source connects to two parallel branches: a 6 ohm resistor above and a 3 ohm resistor below. Each branch has the same 12 volt potential difference. Current splits at the first junction and recombines at the second.
Need a starting hint?

Each branch has 12 V across it. Find the two currents separately, then add them at the source.

Show worked solution
  1. Calculate each branch current

    The smaller resistance carries the larger current.

    I1=126=2 A,I2=123=4 AI_1=\frac{12}{6}=2\text{ A},\qquad I_2=\frac{12}{3}=4\text{ A}
  2. Find source current

    The branches split the current, which recombines at the source.

    Itotal=2+4=6 AI_{\text{total}}=2+4=6\text{ A}
  3. Calculate and check equivalent resistance

    It should be below the smaller branch resistance, 3 Ω.

    Req=126=2 ΩR_{\text{eq}}=\frac{12}{6}=2\,\Omega

Answer: Branch currents 2 A and 4 A; source current 6 A; equivalent resistance 2 Ω.

Before moving on: can you explain why your method works, as well as give the answer?

Q5Charge & average currentSupplement · build confidence

A charge of 180 C passes a point in a circuit in 2 minutes. Calculate the average current and show the time conversion.

Need a starting hint?

Use I = Q/t, with t in seconds.

Show worked solution
  1. Convert time

    Two minutes is 120 seconds.

    t=2×60=120 st=2\times60=120\text{ s}
  2. Divide charge by time

    The result is an average over this interval.

    I=Qt=180120=1.5 AI=\frac{Q}{t}=\frac{180}{120}=1.5\text{ A}

Answer: Average current 1.5 A.

Before moving on: can you explain why your method works, as well as give the answer?

Q6Read evidence from measurementsCore · explain it

A resistor gives (V, I) pairs (1.5 V, 0.10 A), (3.0 V, 0.20 A) and (4.5 V, 0.30 A). Find each resistance and explain what the data suggest.

Need a starting hint?

Calculate V/I for each pair. Limit your conclusion to the measured conditions.

Show worked solution
  1. Calculate all three ratios

    Each measured pair gives the same resistance.

    1.50.10=3.00.20=4.50.30=15 Ω\frac{1.5}{0.10}=\frac{3.0}{0.20}=\frac{4.5}{0.30}=15\,\Omega
  2. State a supported conclusion

    The data are consistent with constant resistance over this measured range. They do not establish what happens at every temperature or outside these conditions.

Answer: 15 Ω for every pair; consistent with constant resistance over this range.

Before moving on: can you explain why your method works, as well as give the answer?

Choose one correction before attempting another paper

  • Wrong equation: write the required quantity and its unit before the formula. Compare Q1's Ω and W with Q2's J.
  • Time error: write the conversion from minutes to seconds as its own line in Q2 and Q5, then substitute the converted value.
  • Branch/source confusion: sketch the two parallel branches in Q4. Label 12 V across each, its own current in each branch, and their sum at the source.
  • Unreasonable resistance: check that series resistors increase the total and that two parallel resistors give an equivalent below the smaller value. These checks apply to the stated ideal resistor arrangements.
  • Overstated conclusion: in Q6 distinguish 'consistent with these data' from a claim about every possible operating condition.

Change the values. Keep the reasoning.

Attempt these after a break without copying the earlier solution. Use the units and physical checks to justify the result.

R1Resistance & powerCore · independent retest

A resistor has 9.0 V across it and current 0.30 A through it. Find its resistance and power.

Need a starting hint?

Write R = V/I and P = IV separately.

Show worked solution
  1. Resistance

    Divide voltage by current.

    R=9.00.30=30 ΩR=\frac{9.0}{0.30}=30\,\Omega
  2. Power

    Multiply current by voltage.

    P=0.30×9.0=2.7 WP=0.30\times9.0=2.7\text{ W}

Answer: 30 Ω and 2.7 W.

Could you solve this without the earlier example? If not, revisit the first line where you got stuck.

R2Parallel branchesSupplement · independent retest

Resistors of 4 Ω and 12 Ω are in parallel across an ideal 6 V supply. Find both branch currents, source current and equivalent resistance.

Need a starting hint?

Both branches have 6 V. Source current is the sum of branch currents.

Show worked solution
  1. Branch currents

    Use the resistance of each branch.

    I1=64=1.5 A,I2=612=0.5 AI_1=\frac{6}{4}=1.5\text{ A},\qquad I_2=\frac{6}{12}=0.5\text{ A}
  2. Source and equivalent

    The equivalent is smaller than the smallest branch resistance.

    Itotal=2 A,Req=62=3 ΩI_{\text{total}}=2\text{ A},\qquad R_{\text{eq}}=\frac{6}{2}=3\,\Omega

Answer: 1.5 A and 0.5 A; source current 2 A; equivalent 3 Ω.

Could you solve this without the earlier example? If not, revisit the first line where you got stuck.

Use the result to choose the next question

Return to official available paper materials through Cambridge, using the component confirmed by your school. Practise a missed calculation with changed numbers before another full timed attempt. For help, bring your attempted work and entry details; the teacher needs to see the first line that breaks down.

Frequently asked questions

Which questions are for Core students?

Q1–Q3 and Q6 practise selected Core skills. Q4–Q5 and retest R2 use Supplement calculations intended for Extended preparation. Always confirm your school's entry and current syllabus.

Is Paper 6 a substitute for learning practical skills?

No. It is the Alternative to Practical assessment route and still assesses experimental skills. This calculation set does not prepare all those skills.

Are these official past-paper questions?

No. They are original TutorMax questions with worked solutions. The page links to official Cambridge sources separately.

Can Combined or Co-ordinated Science students assume this scope?

No. Those are separate syllabus entries. Check the actual syllabus code and specification before treating a 0625 task as required content.

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