What is the ratio of turns for the secondary to primary coils in a step-down transformer, if the input voltage from a substation is 7200 V, and the output voltage to a home is 240 V
240/7200 = 1:30
Ah, the magical world of transformers! It's like Christmas lights, but with electricity. Now, to tackle your question, the ratio of turns between the secondary and primary coils in a step-down transformer is inversely proportional to the voltage ratio.
So, if we have an input voltage of 7200 V and an output voltage of 240 V, let's calculate the ratio by dividing the input voltage by the output voltage:
7200 V / 240 V = 30
Voila! The ratio of turns is 30. This means that for every 30 turns on the primary coil, we'll have 1 turn on the secondary coil. It's like trying to fit into your favorite pair of pants after Thanksgiving dinner—sometimes, you need a little shrinkage!
Remember, though, this fun ratio only applies to a step-down transformer. A step-up transformer, on the other hand, does the opposite: it takes a low voltage and increases it to a higher voltage, like magic! So, keep that ratio in mind when you're unraveling the wonders of transformers. Happy powering, my friend!
To find the ratio of turns for the secondary to primary coils in a step-down transformer, we can use the formula:
Turns ratio = Output voltage / Input voltage
Given:
Input voltage = 7200 V
Output voltage = 240 V
Turns ratio = 240 V / 7200 V
Simplifying this ratio gives:
Turns ratio = 1/30
So, the ratio of turns for the secondary to primary coils in the step-down transformer is 1:30.
To find the ratio of turns for the secondary to primary coils in a step-down transformer, we need to use the voltage ratio formula:
Voltage Ratio = (Number of turns in the secondary coil) / (Number of turns in the primary coil)
In this case, the input voltage from the substation is 7200 V, and the output voltage to the home is 240 V.
Therefore, the voltage ratio is:
Voltage Ratio = 240 V / 7200 V
Simplifying this ratio, we get:
Voltage Ratio = 1/30
So, the ratio of turns for the secondary to primary coils in this step-down transformer is 1:30.