6.5 Static electricity and electric fields — Practise with help
Work each problem first. Open a hint only if you are stuck, and the full working only to check.
Warm-up: remember
Answer these from memory. They use ideas from Section 6.1 and Section 6.4.
- Use to find the charge when and .
- Name the two kinds of electric charge.
- A device on the 230 V supply takes a current of 0.10 A. Calculate its power.
Answers
- .
- Positive charge and negative charge.
- .
If question 1 went wrong, check that you multiplied the current by the time. If question 3 went wrong, look again at .
Practise with help
1. A plastic rod is rubbed with a dry cloth. Describe how the rod becomes charged, and state the sign of the charge on the rod and on the cloth.
Hint
The charge comes from electrons moving from one material to the other. Decide which material gains them.
Next step
Say what happens to the electrons, then use that to decide the sign of the charge on each material.
Full working
Rubbing the two insulators together transfers electrons from one material to the other. Electrons are rubbed off the cloth and on to the rod.
The rod gains electrons, so it becomes negatively charged. The cloth loses electrons, so it is left with an equal positive charge.
This answer is a model answer for you to compare with your own wording.
2. Two charged spheres are brought close together. Describe the force between them when they carry the same type of charge, and the force when they carry opposite types of charge.
Hint
Use the two rules for charged objects. Take the two cases one at a time.
Next step
State the force for the same charges first, then the force for the opposite charges.
Full working
Two objects that carry the same type of charge repel each other. Two objects that carry opposite types of charge attract each other.
In both cases the force acts without the objects touching, so it is a non-contact force. The force gets stronger as the distance between the spheres decreases.
3. A charged balloon is held near a small piece of paper. The paper is attracted to the balloon, but the balloon does not touch it. Explain how the balloon exerts a force on the paper.
Hint
The balloon creates something in the space around it. What is it called, and what does it do to a charged object?
Next step
Name the field around the charged balloon, then say what a second charged object feels when it is placed in that field.
Full working
The charged balloon creates an electric field around itself. The field is strongest close to the balloon and weaker further away.
The paper is placed in the field, so it experiences a force. Because the paper and the balloon carry opposite charges, the force is attractive, and the paper moves towards the balloon without touching it. The force grows stronger as the paper gets closer.
This answer is a model answer for you to compare with your own wording.
4. Explain how a strong electric field can cause a spark between a charged object and a conductor.
Hint
Think about what a very strong field does to the air between the two objects.
Next step
Say what happens to the air molecules when the field is strong enough, then say why that lets charge jump across the gap.
Full working
When charge builds up on an object, the electric field near it becomes very strong. If the field is strong enough, it ionises the air in the gap. Ionising the air means removing electrons from the air molecules, so the air can conduct a current.
The ionised air gives the charge a path, so the charge jumps across the gap as a spark. The spark lasts for a very short time, so the current is large even when the charge transferred is small.
This answer is a model answer for you to compare with your own wording.
5. Describe the electric field pattern around an isolated charged sphere. Include the direction of the field lines for a positive sphere and for a negative sphere.
Hint
Picture the lines starting at the surface of the sphere and spreading outwards.
Next step
Say which way the arrows point for each sign of charge, then say how the spacing of the lines shows the strength of the field.
Full working
The field lines radiate outwards from the surface of the sphere, at right angles to the surface.
For a positively charged sphere, the arrows point away from the sphere. For a negatively charged sphere, the arrows point towards the sphere.
The lines are closest together near the surface and further apart further away. This shows that the field is strongest close to the sphere and weaker at a distance.
This answer is a model answer for you to compare with your own wording.
6. A spark transfers a charge of 5.0 μC in a time of 2.0 μs. Say which relationship you will use, then calculate the average current.
Hint
The relationship links charge, current and time. Convert both values to coulombs and seconds first.
Next step
Write and put in and .
Full working
The average current is 2.5 A. The spark is brief, so the current is large even though the charge is small.