About this site – Learn Physics online

Tweet This blog offers physics revision notes for you to learn Physics online and Physics exam questions. To view the answers to the questions, enable JavaScript or you wouldn’t be able to see the answers. I hope that you will find the notes and questions on this site useful. Please do not copy my notes or questions to another site. Please do link to my site instead. If you spot any mistakes in my explanation, email me at miniphysics@hotmail.com with the relevant web address and explanation. If you feel that you can offer a better explanation for some of the topics, please do email me with your explanation. If I find that they are clearer, I will put your explanation up and credit you accordingly. Note: I’m looking for authors who can help me write-up the physics notes or interesting physics stuffs with me. Contact me if you are interested or visit this page: Submit your article. In general, the difficulty: O Level(Secondary School) < A Level (JC) < H3 (JC) < University Proceed To O Level Physics Revision Notes – Secondary School Physics Proceed To A Level Physics Revision Notes – Junior College Physics (H1 and H2) Proceed To Junior … Continue reading

Coordinate Transformation Under Rotation

Rotation of object relative to FIXED axis: Basic equations you can get by looking at the diagram above: $x_{1} = r \cos {\alpha} $          $x_{2} = r \cos {(\theta + \alpha)} $ $ y_{1} = r \sin {\alpha} $         $y_{2} = r \sin {(\theta + \alpha)}$ Using the equations above: $\begin{align} x_{2} &= r \cos {(\theta + \alpha)} \\ &= r\cos \theta \cos \alpha – r\sin \theta \sin \alpha \\ &= (r\cos \alpha) \cos \theta – (r \sin \alpha) \sin \theta \\ &= x_{1} \cos \theta – y_{1} \sin \theta \end{align}$ $\begin{align} y_{2} &= r \sin {(\theta + \alpha)} \\ &= r\sin \theta \cos \alpha + r\cos \theta \sin \alpha \\ &= (r\cos \alpha) \cos \theta + (r \sin \alpha) \cos \theta \\ &= x_{1} \sin \theta + y_{1} \cos \theta \end{align}$ Hence, For an anti-clockwise rotation, $ \begin{pmatrix} x_{2}  \\ y_{2} \end{pmatrix} = \begin{pmatrix} \cos \theta & – \sin \theta  \\ \sin \theta & \cos \theta \end{pmatrix}\begin{pmatrix} x_{1}  \\ y_{1} \end{pmatrix}$ $\begin{pmatrix} \cos \theta & – \sin \theta  \\ \sin \theta & \cos \theta \end{pmatrix}$ is called the rotation matrix. Its determinant is 1. To find the clockwise rotation matrix, you can do … Continue reading

SS: Electric Circuits and symbols

An electric circuit is a collection of electrical devices, called circuit elements connected by conductors in a closed path (i.e., in a complete loop). Circuit elements include, source of electrical energy (e.g. battery), sink of electrical energy (e.g. light bulb), and switch to complete or break the circuit. Conductors (e.g., copper wires) are then used to connect them together.   Electrical Symbols Circuit diagrams are essential part of the study of current electricity and are often drawn symbolically. In circuit diagrams, various circuit elements are represented by standard electric symbols. Circuit Diagrams A simple circuit, with a cell (if a series of cells is used, it is called a battery) and a resistor or bulb. Circuit diagram showing the measurement of current in the circuit and potential difference across a circuit element (e.g. the resistor). An ammeter is used to measure the current flowing in the circuit and must be inserted in series with the circuit element as shown. A voltmeter measures the potential difference between two points in a circuit and must be connected in parallel to the circuit element as shown. Note that: An ideal ammeter has zero resistance so that when inserted into a circuit, it does … Continue reading

SS: Direct and alternating current

A direct current (DC) is a flow of charges around a circuit in the same direction all the time. – Batteries supply DC and most appliances need DC to function.   Alternating current (AC) is a flow of charges around a circuit that reverses its direction at regular intervals, usually many times a second. – Household electrical power is supplied in the form of AC which usually needs to be rectified to DC before use.   Back To D.C. Circuits