Magnetic field can be produced by Permanent magnet, current carrying wire, current carrying coil or electromagnet. Advantages of electromagnet : The magnetic field can be turned on or off. Strength of magnetic field can be controlled by current. Can be formed in different shapes. Magnetic field always starts at N-pole and ends at S-pole. (There must be two poles existed). Strength of magnetic field can be expressed by the number of field lines per unit area. Determine the pole of magnetic field : right hand grip rule. The thumb represent the North pole. Magnetic field strength can be combined together. A uniform magnetic field and a circular magnetic field forms a catapult magnetic field and a force is produce. A current carrying wire produces a circular magnetic field. If this wire is placed inside a uniform magnetic field, a force is then produced. The direction of this force is determined by the Fleming left hand rule (F-B-I). Motor is using this property. (A coil with two straight edges produce circular magnetic fields and placed within two slab (or half circular) magnet (producing uniform magnetic field). D.C. Motor needs a commutator to keep the coil rotating continuously by changing the direction of current in the coil every half revolution. The split ring touches different carbon brushes every half revolution. A.C. motor needs a commutator and a electromagnet. It behaves the same as a d.c. motor except that when the current change its direction, the magnetic field also changes its direction. There is no free lunch, energy cannot be created by a power plant. Energy can only be converted from other forms to electrical form. Normally K.E. is being converted to electrical energy in the turbine of a power station. K.E. is converted from downpouring water (hydroelectric plant), huge amount of high-pressure steam (nuclear power plant or coal-fire, petrol power plant). In the conversion process, energy can be lost to friction, internal energy …..etc. K.E. is visible in rotating coils or magnetic fields. Electromagnetic induction : When the strength of the magnetic field inside a coil is set changing or a wire cut passed a magnetic field at right angle, a voltage is induced. If the coil or the wire is part of a complete circuit, a current is also induced. The magnitude of the induced current or voltage directly related to the rate of change of magnetic field (stronger field line, changing faster), the rate of number of field line cut and the number of wires or number of turn of the coil. The strength of magnetic field change inside a coil can be due also to A coil rotating inside a magnetic field (K.E. rotating coil) Or the magnetic field rotating around the coil. (K.E. rotating magnet) (In both cases, the two sides of the coil are cutting (K.E. moving wire) the magnetic field lines like a wire (K.E. moving wire) cut passed a magnetic field at right angle but in opposite directions.) Power Generator is a device either rotating coil inside magentic field or rotating magnetic field around a coil. Rotating magnetic field is easier as the coil (the connecting wire) will not move. If the coil is set moved, avoiding the twisting of the connecting wire becomes very important. There are two ways to do this. One is using commutator for D.C. and the other is using slip rings for a.c. To ensure that the output voltage remains almost the same and the wire cut most magnetic field in each rotation, practical generator uses three coils (rotor) inside the magnetic field and the magnet is a curve magnet. When two coils are put together side by side or connected in series, one is connected to a supply source and the other to a circuit without any source, and current is allowed to flow in the first coil and is varied. Then this first coil becomes an electromagnet and its field strength is varied. When this changing magnetic field goes passed the second coil. A voltage or a current is induced in the second coil. This is called mutual induction. Since the magnitude of the induced voltage depends on the number of turns of the coil. The voltage can be adjusted by varying the number of turns. Transformer is made according to this principle. The voltage of the first coil can be changed into different voltages by simply changing the number of turns of coil in the second one. Vp/Vs = Np/Ns If there is no energy lost during this process. Then VpIp = VsIs However, there usually is energy lost due to leakage of magnetic field line.(Not all mangetic field lines can go passed the second coil (secondary coil). To preserve the energy, we can use soft iron to group all field lines together. Transmission of electrical power : power lost is in the transmission cable is P = I2 R or P = IV (V is potential difference across the cable, NOT potential) I in the cable is limited by two factors. 1. The potential difference across the cable and its resistance. (I = p.d. /R) However, the p.d. of the cable is not certain. It depends on the current in it. 2. How large the current can be due to the power of the power plant. ( I=P/V) Consider the western cross-harbor tunnel. The number of car expected to go passed this tunnel can be far more than the existing number. Is it because the tunnel is built unsatisfactory so that the actual number of car is allowed? What are the other reasons? A power plant can generate power of 6MW. If, before the power is transmitted, the potential is raised to 600kV (each C of charge must carry 600 kJ of energy), then there can only be at most 10 C of charge allowed in one second (or 10A) and this current will go to the transmission cable. If this 10A current travels through the cable of 20 ohm, then at the two ends of the cable, the potential difference is 10A x 20ohm = 200V or 0.2kV. The potentials at the beginning and the end of the cable will be 600 kV and 599.8 kV. The difference is 0.2kV. The power loss is then P = I2R = 10A x 10A x 20 ohm = 2000 W. The loss is about 2000W/6MW = ~ 1/30 or 0.03 %. 20 ohm resistance is very small if the length of the cable is over 1 km. If the potential difference is 1 kV, it allows 50 A current through. But the amount of charge is limited by the power plant. (The situation is like the western cross-harbor tunnel, although the tunnel is wide and can allow many more cars to go passed. There is simply not enough car can pay the fee. [carry enough energy])