Concept explainers
(a)
To write:
The expression for the efficiency of the transformer in percent using the power relationship.
(a)
Answer to Problem 92A
The expression for the efficiency of power is Efficiency
Explanation of Solution
Given:
For a step down transformer:
Efficiency:
Voltage of secondary
Voltage of primary
Current:
Formula used:
The formula to calculate the efficiency of power for transformer is given by,
Where,
Calculation:
To write the expression of the efficiency of transformer in percent, it is written as
Where,
Conclusion:
The expression for the efficiency of power is Efficiency
(b)
To calculate:
The current in the primary circuit.
(b)
Answer to Problem 92A
The current in the primary circuit is
Explanation of Solution
Given:
For a step down transformer:
Efficiency:
Voltage of secondary
Voltage of primary
Current:
Formula used:
For the secondary power
For the primary current,
Where,
Calculation:
In the First step calculate the secondary power and primary power to find the primary current,
Secondary power is given by the formula,
Substitute all the given values in the above formula,
Secondary power is
Now calculate the primary power, which is given by the formula,
Substitute all the given values in the above formula,
Primary power is
Now in the last step the primary current is found,
The formula for primary current is given by,
Substituting all the given values in the above formula
Conclusion:
Hence the current in the primary circuit is
(c)
To calculate:
Therate of thermal energy generated.
(c)
Answer to Problem 92A
Thermal energy will be produced at the rate of 57 J/s. This is the difference between the input power (757 W) and the output power (700 W)
Explanation of Solution
thermal energy can be calculated by taking the difference between the Input power that is the primary power and the output power that is the secondary power.
From the above calculation,
Input power
Output Power
Thermal Energy= Input Power- Output Power
=
=
Conclusion:
Hence the rate at which thermal energy is generated is
Chapter 25 Solutions
Glencoe Physics: Principles and Problems, Student Edition
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