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A step - up transformer is used on 120 V...

A step - up transformer is used on 120 V line to provide a potential difference of 2400 V . If the number of turns in the primary is 75, then the number of turns in the secondary shall be

A

25

B

150

C

1500

D

500

Text Solution

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The correct Answer is:
To solve the problem, we need to find the number of turns in the secondary coil of a step-up transformer given the primary voltage, secondary voltage, and the number of turns in the primary coil. ### Step-by-Step Solution: 1. **Identify the Given Values**: - Primary Voltage (Vp) = 120 V - Secondary Voltage (Vs) = 2400 V - Number of Turns in Primary (Np) = 75 turns 2. **Understand the Transformer Equation**: The relationship between the voltages and the number of turns in a transformer is given by the formula: \[ \frac{V_p}{V_s} = \frac{N_p}{N_s} \] where: - \( V_p \) = Primary Voltage - \( V_s \) = Secondary Voltage - \( N_p \) = Number of turns in the primary - \( N_s \) = Number of turns in the secondary 3. **Rearranging the Formula**: We need to find \( N_s \). Rearranging the formula gives: \[ N_s = \frac{V_s}{V_p} \times N_p \] 4. **Substituting the Values**: Now substitute the known values into the equation: \[ N_s = \frac{2400 \, \text{V}}{120 \, \text{V}} \times 75 \] 5. **Calculating the Voltage Ratio**: Calculate the ratio of the voltages: \[ \frac{2400}{120} = 20 \] 6. **Calculating the Number of Turns in the Secondary**: Now multiply this ratio by the number of turns in the primary: \[ N_s = 20 \times 75 = 1500 \] 7. **Final Result**: The number of turns in the secondary coil \( N_s \) is 1500 turns. ### Conclusion: The number of turns in the secondary coil is **1500 turns**. ---
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