A transformer operates on the principle of electromagnetic induction. If the primary coil has 100 turns and the secondary coil has 50 turns, what is the relationship between the primary and secondary voltages?
Practice Questions
1 question
Q1
A transformer operates on the principle of electromagnetic induction. If the primary coil has 100 turns and the secondary coil has 50 turns, what is the relationship between the primary and secondary voltages?
V_primary = 2 * V_secondary
V_primary = 0.5 * V_secondary
V_primary = V_secondary
V_primary = 4 * V_secondary
The voltage ratio in a transformer is given by the turns ratio. Therefore, V_primary/V_secondary = N_primary/N_secondary = 100/50 = 2, which means V_primary = 2 * V_secondary.
Questions & Step-by-step Solutions
1 item
Q
Q: A transformer operates on the principle of electromagnetic induction. If the primary coil has 100 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 given by the turns ratio. Therefore, V_primary/V_secondary = N_primary/N_secondary = 100/50 = 2, which means V_primary = 2 * V_secondary.
Steps: 7
Step 1: Understand that a transformer has two coils: the primary coil and the secondary coil.
Step 2: Identify the number of turns in each coil. The primary coil has 100 turns and the secondary coil has 50 turns.
Step 3: Know that the relationship between the primary voltage (V_primary) and the secondary voltage (V_secondary) is based on the number of turns in each coil.
Step 4: Use the formula for the voltage ratio: V_primary / V_secondary = N_primary / N_secondary.
Step 5: Substitute the number of turns into the formula: V_primary / V_secondary = 100 / 50.
Step 6: Simplify the ratio: 100 / 50 = 2.
Step 7: This means V_primary = 2 * V_secondary, indicating that the primary voltage is twice the secondary voltage.
