AC & High Voltage Transmission (OCR GCSE Physics A (Gateway))
Revision Note
AC & High Voltage Transmission
Higher Tier Only
Remember, in a transformer, an alternating current is supplied to the primary coil
The current is continually changing direction
This means it will produce a changing magnetic field around the primary coil
A changing magnetic field leads to the generation of an alternating potential difference
If connected in a complete circuit then an electric current will flow
Advantages of High Voltage Transmission
When electricity is transmitted over large distances, the current in the wires heats them, resulting in energy loss
To transmit the same amount of power as the input power the potential difference at which the electricity is transmitted should be increased
This will result in a smaller current being transmitted through the power lines
This is because P = IV, so if V increases, I must decrease to transmit the same power
A smaller current flowing through the power lines results in less heat being produced in the wire
This will reduce the energy loss in the power lines
Electricity is transmitted at high voltage, reducing the current and hence power loss in the cables
Structure of a Transformer
A basic transformer consists of:
A primary coil
A secondary coil
An iron core
Iron is used because it is easily magnetised
Structure of a transformer
How a Transformer Works
An alternating current is supplied to the primary coil
The current is continually changing direction
This means it will produce a changing magnetic field around the primary coil
The iron core is easily magnetised, so the changing magnetic field passes through it
As a result, there is now a changing magnetic field inside the secondary coil
This changing field cuts through the secondary coil and induces a potential difference
As the magnetic field is continually changing the potential difference induced will be alternating
The alternating potential difference will have the same frequency as the alternating current supplied to the primary coil
If the secondary coil is part of a complete circuit it will cause an alternating current to flow
The Ideal Transformer
An ideal transformer would be 100% efficient
Although transformers can increase the voltage of a power source, due to the law of conservation of energy, they cannot increase the power output
If a transformer is 100% efficient:
Input power = Output power
The equation to calculate electrical power is:
P = VI
Where:
P = power in Watts (W)
V = potential difference in volts (V)
I = current in amps (A)
Therefore, if a transformer is 100% efficient then:
Vp × Ip = Vs × Is
Where:
Vp = potential difference across primary coil in volts (V)
Ip = current through primary coil in Amps (A)
Vs = potential difference across secondary coil in volts (V)
Is = current through secondary coil in Amps (A)
The equation above could also be written as:
Ps = Vp × Ip
Where:
Ps = output power (power produced in secondary coil) in Watts (W)
Worked Example
A transformer in a travel adapter steps up a 115 V ac mains electricity supply to the 230 V needed for a hair dryer. A current of 5 A flows through the hairdryer.
Assuming that the transformer is 100% efficient, calculate the current drawn from the mains supply.
Answer:
Step 1: List the known quantities
Voltage in primary coil, Vp = 115 V
Voltage in secondary coil, Vs = 230 V
Current in secondary coil, Is = 5 A
Step 2: Write the equation linking the known values to the current drawn from the supply, Ip
Vp × Ip = Vs × Is
Step 3: Substitute in the known values
115 × Ip = 230 × 5
Step 4: Rearrange the equation to find Ip
Step 5: Calculate a value for Ip and include the correct unit
Ip = 10 A
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