Concept explainers
A step-up transformer has a primary current of 32 A and an applied voltage of 240 V. The secondary coil has a current of 2 A. Assuming ideal transformer conditions, calculate the following:
a. Power input of the primary winding coil
b. Power output of the secondary winding coil
c. Secondary coil winding voltage
d. Turns ratio
(a)
The power input of primary winding coil assuming ideal transformer condition.
Answer to Problem 6RQ
The power input of primary winding coil assuming ideal transformer condition is
Explanation of Solution
Given information:
The primary winding current is
The secondary winding current is
The voltage applied to primary is
Write the expression for the power input of the primary winding coil assuming ideal transformer condition.
Here, the voltage in the primary winding is
Calculation:
Susbtitute
Conclusion:
Therefore, the power input of primary winding coil assuming ideal transformer condition is
(b)
The power output of the secondary winding coil assuming ideal transformer condition.
Answer to Problem 6RQ
The power output of secondary winding coil assuming ideal transformer condition is
Explanation of Solution
Given information:
The primary winding current is
The secondary winding current is
The voltage applied to primary is
The primary power and secondary power in an ideal transformer are always equal
Here, the primary power is
Calculation:
Susbtitute
Conclusion:
Therefore, the power output of secondary winding coil assuming ideal transformer condition is
(c)
The secondary coil winding voltage assuming ideal transformer condition.
Answer to Problem 6RQ
The secondary coil winding voltage assuming ideal transformer condition is
Explanation of Solution
Given information:
The primary winding current is
The secondary winding current is
The voltage applied to primary is
Write the expression for the secondary coil winding voltage assuming ideal transformer condition.
Here, the current in the secondary coil is
Calculation:
Substitute
Conclusion:
Therefore, the secondary coil winding voltage assuming ideal transformer condition is
(d)
The turns ratio assuming ideal transformer condition.
Answer to Problem 6RQ
The turns ratio assuming ideal transformer condition is
Explanation of Solution
Given information:
The primary winding current is
The secondary winding current is
The voltage applied to primary is
The turns ratio in a transformer is the ratio of the number of turns in the primary winding to number of turns in the secondary winding.
Here, the turns ratio is
Calculation:
Susbtitute
Conclusion:
Therefore, the turns ratio assuming ideal transformer condition is
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