In a transformer, if the primary coil has 200 turns and the secondary coil has 50 turns, what is the relationship between the primary and secondary voltages?
Practice Questions
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Q1
In a transformer, if the primary coil has 200 turns and the secondary coil has 50 turns, what is the relationship between the primary and secondary voltages?
Vp/Vs = 4
Vp/Vs = 0.25
Vp/Vs = 2
Vp/Vs = 1
The voltage ratio in a transformer is inversely proportional to the turns ratio: Vp/Vs = Np/Ns = 200/50 = 4.
Questions & Step-by-step Solutions
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Q
Q: In a transformer, if the primary coil has 200 turns and the secondary coil has 50 turns, what is the relationship between the primary and secondary voltages?
Solution: The voltage ratio in a transformer is inversely proportional to the turns ratio: Vp/Vs = Np/Ns = 200/50 = 4.
Steps: 5
Step 1: Identify the number of turns in the primary coil (Np) and the secondary coil (Ns). Here, Np = 200 and Ns = 50.
Step 2: Write down the formula for the voltage ratio in a transformer, which is Vp/Vs = Np/Ns.
Step 3: Substitute the values of Np and Ns into the formula: Vp/Vs = 200/50.
Step 4: Simplify the fraction 200/50 to find the ratio: 200 divided by 50 equals 4.
Step 5: Conclude that the voltage in the primary coil (Vp) is 4 times the voltage in the secondary coil (Vs).
