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4) The amount of power is related to the rate at which energy is transformed. Explain that power is the rate at which energy is transformed from one form to another. Power is the rate at which energy is transformed from one form to another. If energy, W, is transformed in time, t, then the power, P, is given by the formula: P = W/t The watt (W) is the SI unit for power. One watt I the same as one joule/second. Identify the relationship between power, potential difference and current Power, current and voltage: P = VI If the current passes for time, t, the energy, W, dissipated is: W = VIt Similarly, the power, P, generated by a power supply with a voltage rise, V, across it, and current, I, passing through it, is given by the same formula: P = VI The energy, W, generated in a power supply is thus given by the formula: W = VIt Power and Resistance: When a current passes through a resistor, electrical potential energy is converted into heat and light energy. This is the basis of most household appliances that produce heat and light. Example: incandescent lamps. Identify that the total amount of energy used depends on the length of the time the current is flowing and can be calculated using: Energy = VIt Look in above dot point. Summary of information about resistors in series and parallel: When a number of resistors are connected in series to a power supply: - The same current flows through the power supply and all the resistors. The voltage gain across the power supply equals the sum of the voltage losses across the resistors The greater the resistance of a resistor, the greater the voltage drop across it The greater the resistance of the resistor the greater the power dissipated in it. The power generated in the power supply equals the sum of the powers dissipated in the resistors. When a number of resistors are connected in parallel to a power supply: - The current through the power supply equals the sum of the currents through the resistors - The voltage drop across each resistor is the same and is equal to the voltage rise across the power supply - The greater the resistance of a resistor the smaller the current that passes through it. - The greater the resistance of a resistor the smaller the power dissipated in it. - The power generated in the power supply equals the sum of the powers dissipated in the resistors. Explain why the kilowatt-hour is used to measure electrical energy consumption rather than the joule. Electrical companies charge users for the amount of electrical energy that they use. Because of the large amounts of energy involved, it is inconvenient to measure this energy in joules. For example, a 1.0kW heater running for 2.0 hours uses 7200000 J of electrical energy. A different unit of energy known as kilowatt-hour, is used in household electricity accounts. The kilowatt hour (kW-h) is defined as the amount of energy used by a 1 kW device in one hour. To calculate the energy used in kilowatt hour, the following formula is used: Energy in kilowatt hours = power in kilowatts X time in hours. 5) Electrical currents also produce magnetic fields and these fields are used in different devices in the home. Describe the behaviour of the magnetic poles of bar magnets when they are brought close together. The pole that points north is known as the “north seeking pole” – North Pole The pole that points south is known as the “south seeking pole” – south Pole North and South poles always occur together in equal pairs. Such a pair of equal and opposite magnetic poles is called a magnetic dipole. If two magnetic poles are brought together they exert forces on each other. The direction of the forces between the magnetic poles are: - two north poles repel each other - two south poles repel each other - a north and a south pole attract each other. Basically, like poles repel, unlike poles attract. The closer two magnetic poles are to one another, the stronger the force of attraction or repulsion between them. When two magnets are brought close to one another, there will be four pais of forces between the poles. This will result in an overall force of attraction or repulsion (depending on the positions of the two magnets). N N S S Define the direction of the magnetic field at a point as the direction of force on a very small north magnetic pole when placed at a point. The Magnetic Field is a force field surrounding a magnetic pole that exerts forces on other magnetic poles placed in the field. When a magnet is placed in a magnetic field, the north and south poles experience forces in opposite directions. The direction of the magnetic field at a point is defined as the direction of the force on a very small north pole placed at the point. The directions of the forces on the North and South poles of a magnet placed in a magnetic field are shown in the figure below (Magnetic field is labelled – B). B S N B A compass consists of a magnet suspended so that it is free to rotate. When a compass is placed in a magnetic field, the forces on the north and south poles cause the compass to rotate until the north pole of the compass points in the direction of the magnetic field. Describe the magnetic field around pairs of magnetic poles The Magnetic field near a magnetic pole If a compass is placed at a point near a north pole, N, the north pole of the compass will experience a force away from N and the south pole of the compass will experience a force towards N. The magnetic field therefore, points away from N. Similarly, the magnetic field surrounding a south pole, points towards the south pole. The Magnetic field surrounding two equal magnetic poles - Magnetic fields are represented by magnetic field lines. Magnetic field lines start at north poles and end at south poles The direction of the magnetic field lines shows the direction of the magnetic field. The spacing of the magnetic field lines shows the strength of the magnetic field. The closer the lines, the stronger the magnetic field. A magnet has equal north and south poles at the ends. Describe the production of a magnetic field by an electric current in a straight current-carrying conductor and describe how the right-hand grip ule can determine the direction of the current and field lines. Magnetic fields produced by electric currents The magnetic field lines surrounding a long straight wire carrying a current are concentric circles around the conductor. The direction of the magnetic field is given by the right hand grip rule. This states: “Grip the wire with the right hand, with the thumb pointing in the direction of the conventional current and the fingers will curl around the wire in the direction of the magnetic field.” When drawing a diagram to represent the magnetic field surrounding a wire carrying a current, it is often to convenient to imagine the wire being perpendicular to the page. Thus the direction of the current will be into or out of the page. Conventional Current into the page Conventional Current out of the page Magnetic fields directed into and out of the page are represented by the symbols, , , and , ,. The figure below shows the magnetic field at the sides of a wire carrying a conventional current towards the right of the page. By the right hand grip rule, the magnetic field comes out of the page above the wire and then into the page below the wire. Magnetic field produced by a solenoid carrying a current If a straight wire carrying a current is bent into a loop, the magnetic field is as shown in figure below. The magnetic field lines come out at one side of the loop, which is therefore like the north pole of a magnet. The magnetic field lines go into the other side of the loop, which is therefore like the south pole of the magnet. The right hand grip rule, applied to each section of the loop, gives the direction of the magnetic field. Magnetic fields produced by coils have many more applications than magnetic fields produced by straight wires. The strength of the magnetic field can be increased by using a coil with many turns. A solenoid is a wire that has been wound into a closely packed helix. When a current passes through a solenoid, the magnetic field outside the solenoid is similar to the magnetic field surrounding a bar magnet. For the solenoid however the lines of the magnetic field do not stop at the ends of the solenoid but pass through the inside as parallel lines. The lines of the magnetic field form closed loops. The end where the lines of the magnetic field emerge from the solenoid is the north pole. The end where the lines of magnetic field enter the solenoid is the south pole. There are two methods of determining the north pole of a solenoid. 1) Grip the solenoid with the right hand, with the fingers pointing in the direction of the conventional current around the solenoid. The thumb will point in the direction of the north pole of the solenoid. 2) Observe the solenoid end on. If the conventional current is anti-clockwise, the end is a north pole; if the conventional current is clockwise the end is a south pole. Compare the nature and generation of magnetic fields by solenoids and a bar magnet. Magnets and Electromagnets When a magnetic material such as iron, is placed in a magnetic field, it becomes magnetised. “Soft iron” is a type of iron that becomes magnetised very quickly when placed in a magnetic field, and loses its magnetism very quickly when removed from the field. This type of magnet is said to be a temporary magnet. A piece of iron is attracted to a magnetic pole it becomes magnetised by the magnetic field surrounding the pole. Bar Magnet “Hard iron” is used to refer to any alloy of iron that becomes magnetised slowly when placed in a magnetic field, but retains its magnetism for a long time after it is removed from the field. Such an alloy is used to make a permanent magnet. To make a permanent magnet, a bar of hard iron is placed inside a solenoid, and a current is passed through the solenoid for a sufficient time to magnetise the iron. A solenoid with a soft iron core is called an electromagnet. A current through the coil produces a magnetic field that magnetises the soft iron core almost instantaneously. This produces a much stronger magnet than would be produced by the solenoid without the soft iron core. When the current is switched off, the soft iron core loses its magnetism almost instantaneously. Electromagnets have many practical applications. Such as circuit breakers or tape recorders. Tape Recorders: Magnetic tape consists of a coating of microscopic particles of magnetic material suspended on a plastic backing such as acetate. During recording, an alternate current, derived from sound waves, is passed through the coil of the recording head. This produces a varying magnetic field in the air gap between the poles that magnetises the magnetic particles on the tape. The direction of the magnetisation of these particles corresponds with the direction of the input signal. Later during playback, these magnetised particles induce an alternating current which reproduces the original alternating current. Extra: Ferromagnetism It is now believed that all magnetic fields are produced by electric currents. Within every atom there are electric currents due to the movement of the electrons. Each electron moves in an orbit around the nucleus and spins on its axis. As a result of the movements of its electrons, each atom behaves like a current loop with a north and south pole. The magnetic properties of a material are due to the magnetic properties of its atoms. As all materials consist of atoms – all materials have magnetic tendencies. However, for most of these materials the force of magnetism will be weak. On the other hand, a few materials have strong magnetism. In these materials, the spins of the electrons producing the atomic magnetism ten to line up with its neighbouring atoms. As a result, the north and south poles of the atomic magnets tend to line up and point in the same direction, thus producing a strong magnetic field. These materials are called ferromagnetic materials. Examples include: iron, nickel and cobalt. A ferromagnetic material is made up of many magnetic domains. Within each domain nearly all the atomic magnets are lined up in the same direction. When a ferromagnetic material is unmagnetised, the domains are magnetised in different directions which results in an overall neutral magnet. When all the domains are lined up with the magnetic field, the material is fully magnetised (or saturated).