Math Problem Statement
Solution
To solve this problem involving a transformer, we can use the transformer voltage ratio formula, which relates the number of turns in the coils to the voltages:
Where:
- is the voltage on the secondary coil (what we are solving for),
- is the voltage on the primary coil,
- is the number of turns on the secondary coil,
- is the number of turns on the primary coil.
Rearranging this equation to solve for :
Let's plug in the values to calculate .The voltage on the secondary coil of the transformer is .
Would you like further details or have any questions?
Here are 5 related questions to consider:
- What happens to the secondary voltage if the primary voltage is increased to 480 V?
- How does changing the number of turns on the secondary coil affect the output voltage?
- What would be the secondary current if the transformer is ideal and the load is known?
- Can the transformer step up the voltage if the number of turns on the secondary coil exceeds the primary coil?
- How does the efficiency of a transformer affect real-world voltage output?
Tip: In ideal transformers, power is conserved, meaning , where represents current. This relationship helps when dealing with currents in transformer problems.
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Math Problem Analysis
Mathematical Concepts
Electromagnetism
Transformers
Proportions
Formulas
Transformer Voltage Ratio: V_s / V_p = N_s / N_p
Rearranged Formula: V_s = V_p * (N_s / N_p)
Theorems
Conservation of Energy in Ideal Transformers: V_p * I_p = V_s * I_s
Suitable Grade Level
Grades 9-12
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