# What is the relationship between current and resistance

### Current and resistance The connection between voltage and resistance can be more If the wire is connected to a volt battery, how much current flows through the. Ohm's Law deals with the relationship between voltage and current in an ideal conductor. The constant of proportionality is called the "resistance", R. The first, and perhaps most important, relationship between current, voltage, and resistance is called Ohm's Law, discovered by Georg Simon Ohm and. Good conductors have low resistivity, while poor conductors insulators have resistivities that can be 20 orders of magnitude larger. Resistance also depends on temperature, usually increasing as the temperature increases. For reasonably small changes in temperature, the change in resistivity, and therefore the change in resistance, is proportional to the temperature change. This is reflected in the equations: At low temperatures some materials, known as superconductors, have no resistance at all.

Resistance in wires produces a loss of energy usually in the form of heatso materials with no resistance produce no energy loss when currents pass through them. Ohm's Law In many materials, the voltage and resistance are connected by Ohm's Law: These materials are called non-ohmic. We'll focus mainly on ohmic materials for now, those obeying Ohm's Law.

Example A copper wire has a length of m and a diameter of 1. If the wire is connected to a 1.

## Ohm’s Law - How Voltage, Current, and Resistance Relate

The V is the battery voltage, so if R can be determined then the current can be calculated. The first step, then, is to find the resistance of the wire: L is the length, 1. The resistivity can be found from the table on page in the textbook. The area is the cross-sectional area of the wire. This can be calculated using: The resistance of the wire is then: The current can now be found from Ohm's Law: It has units of Watts.

Batteries and power supplies supply power to a circuit, and this power is used up by motors as well as by anything that has resistance. The power dissipated in a resistor goes into heating the resistor; this is know as Joule heating. In many cases, Joule heating is wasted energy. In some cases, however, Joule heating is exploited as a source of heat, such as in a toaster or an electric heater. The electric company bills not for power but for energy, using units of kilowatt-hours.

It does add up, though. The following equation gives the total cost of operating something electrical: Try this at home - figure out the monthly cost of using a particular appliance you use every day.

Possibilities include hair dryers, microwaves, TV's, etc. The power rating of an appliance like a TV is usually written on the back, and if it doesn't give the power it should give the current. Anything you plug into a wall socket runs at V, so if you know that and the current you can figure out how much power it uses.

### Current and Resistance

The cost for power that comes from a wall socket is relatively cheap. On the other hand, the cost of battery power is much higher. Although power is cheap, it is not limitless. Electricity use continues to increase, so it is important to use energy more efficiently to offset consumption. Appliances that use energy most efficiently sometimes cost more but in the long run, when the energy savings are accounted for, they can end up being the cheaper alternative.

Direct current DC vs. If the circuit has capacitors, which store charge, the current may not be constant, but it will still flow in one direction. The current that comes from a wall socket, on the other hand, is alternating current. With alternating current, the current continually changes direction.

This is because the voltage emf is following a sine wave oscillation. For a wall socket in North America, the voltage changes from positive to negative and back again 60 times each second. You might think this value of V should really be - volts.

What is voltage? -- What is current? -- What is resistance?

That's actually a kind of average of the voltage, but the peak really is about V. In metals, the electrons are the moving charges, so the definition of the direction of current is opposite the actual flow of the negative charges in a wire.

Electric fields are not found in conductors with static charges as shown by Gauss's law, but electric fields can exist in a conductor when charges are in motion. The potential difference between the terminals of the battery when no current is present is called the electromotive force emf. The historical term emf is a misnomer because it is measured in volts, not force units, but the terminology is still commonly used. Resistance and resistivity Experimentally, it was found that current is proportional to voltage for conductors. The proportionality constant is the resistance in the circuit. This relationship is called Ohm's law: Resistance is measured in ohms W: The resistivity for a specific conductor can be found in a table of properties of materials. Resistance to current in a conductor arises because the flow of moving charges is impeded by the material of the wire.

The relationship between resistance and resistivity is Note: A resistor is a specific electronic component whose only function is to resist current. A resistance is generated by anything impeding current, for example, a light bulb or heating element. Electrical power and energy Figure 1 shows a simple circuit of a battery with wires connecting it to a bulb. The filament in the bulb is a resistance shown in the circuit as R beside the symbol for a resistance.