In a transformer, if the primary coil has 100 turns and the secondary coil has 200 turns, what is the relationship between primary and secondary voltages?
Practice Questions
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Q1
In a transformer, if the primary coil has 100 turns and the secondary coil has 200 turns, what is the relationship between primary and secondary voltages?
Vp/Vs = 1/2
Vp/Vs = 2
Vp/Vs = 1
Vp/Vs = 2/1
The voltage ratio in a transformer is given by Vp/Vs = Np/Ns, so Vp/Vs = 100/200 = 1/2, hence Vs = 2Vp.
Questions & Step-by-step Solutions
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Q
Q: In a transformer, if the primary coil has 100 turns and the secondary coil has 200 turns, what is the relationship between primary and secondary voltages?
Solution: The voltage ratio in a transformer is given by Vp/Vs = Np/Ns, so Vp/Vs = 100/200 = 1/2, hence Vs = 2Vp.
Steps: 6
Step 1: Identify the number of turns in the primary coil (Np) and the secondary coil (Ns). Here, Np = 100 and Ns = 200.
Step 2: Write down the formula for the voltage ratio in a transformer: Vp/Vs = Np/Ns.
Step 3: Substitute the values of Np and Ns into the formula: Vp/Vs = 100/200.
Step 4: Simplify the fraction 100/200 to get 1/2.
Step 5: This means Vp/Vs = 1/2, which can be rearranged to find Vs: Vs = 2Vp.
Step 6: Conclude that the secondary voltage (Vs) is twice the primary voltage (Vp).
