Monday, 26 June 2017

Ohm's Law

Hello Everybody,
I hope you all will be fine.

        In this session, we will discuss about Ohm's law. In the Blog number:-001(Resistor), we came to know about a law called Ohm's law. But we had not discussed in detail. So, we will discuss Ohm's law in detail here.

OHM'S LAW
  The relationship between VoltageCurrent and Resistance in any DC electrical circuit was firstly discovered by the German physicist Georg OhmGeorg Ohm found that, at a constant temperature, the electrical current flowing through a fixed linear resistance is directly proportional to the voltage applied across it, and also inversely proportional to the resistance. This relationship between the Voltage, Current and Resistance forms the basis of Ohms Law. 




Ohms Law Relationship

ohms law

      By knowing any two values of the Voltage, Current or Resistance quantities we can use Ohms Law to find the third missing value. Ohms Law is used extensively in electronics formulas and calculations so it is “very important to understand.

To find the Voltage, ( V )

[ V = I x R ]      V (volts) = I (amps) x R (Ω)

To find the Current, ( I )

[ I = V ÷ R ]      I (amps) = V (volts) ÷ R (Ω)

To find the Resistance, ( R )

[ R = V ÷ I ]      R (Ω) = V (volts) ÷ I (amps)

Ohms Law Triangle

                                         ohms law triangle

Transposing the standard Ohms Law equation above will give us the following combinations of the same equation:
ohms law triangle relationship
        Then by using Ohms Law we can see that a voltage of 1V applied to a resistor of 1Ω will cause a current of 1A to flow and the greater the resistance value, the less current that will flow for a given applied voltage. Any Electrical device or component that obeys “Ohms Law” that is, the current flowing through it is proportional to the voltage across it ( I α V ), such as resistors or cables, are said to be “Ohmic” in nature, and devices that do not, such as transistors or diodes, are said to be “Non-ohmic” devices.

Electrical Power in Circuits

     Electrical Power, ( P ) in a circuit is the rate at which energy is absorbed or produced within a circuit. A source of energy such as a voltage will produce or deliver power while the connected load absorbs it. Light bulbs and heaters for example, absorb electrical power and convert it into either heat, or light, or both. The higher their value or rating in watts the more electrical power they are likely to consume.
The quantity symbol for power is P and is the product of voltage multiplied by the current with the unit of measurement being the Watt ( W ). Prefixes are used to denote the various multiples or sub-multiples of a watt, such as: milliwatts (mW = 10-3W) or kilowatts (kW = 103W).

Q is electric charge in coulombs
t is time in seconds
I is electric current in amperes{ i.e. I=(Q/t)}
V is electric potential or voltage in volts
Work done in joules=VQ


Then by using Ohm’s law and substituting for the values of VI and R the formula for electrical power can be found as:

To find the Power (P)

[ P = V x I ]      P (watts) = V (volts) x I (amps)
Also,
[ P = V2 ÷ R ]      P (watts) = V2 (volts) ÷ R (Ω)
Also,
[ P = I2 x R ]      P (watts) = I2 (amps) x R (Ω)
      Again, the three quantities have been superimposed into a triangle this time called a Power Triangle with power at the top and current and voltage at the bottom. Again, this arrangement represents the actual position of each quantity within the Ohms law power formulas.
power triangle
and again, transposing the basic Ohms Law equation above for power gives us the following combinations of the same equation to find the various individual quantities:
power triangle relationship
      So we can see that there are three possible formulas for calculating electrical power in a circuit. If the calculated power is positive, (+P) in value for any formula the component absorbs the power, that is it is consuming or using power. But if the calculated power is negative, (-P) in value the component produces or generates power, in other words it is a source of electrical power such as batteries and generators.

Ohms Law Pie Chart

ohms law pie chart

Ohms Law Example

For the circuit shown below find the Voltage (V), the Current (I), the Resistance (R) and the Power (P).
ohms law circuit
Voltage   [ V = I x R ] = 2 x 12Ω = 24V
Current   [ I = V ÷ R ] = 24 ÷ 12Ω = 2A
Resistance   [ R = V ÷ I ] = 24 ÷ 2 = 12 Ω
Power   [ P = V x I ] = 24 x 2 = 48W
Thank you.

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