Math Problem Statement
Tentukan masing masing Efisiensi dan fungsi dari trafo A dan trafo B
Solution
Let's solve the efficiency and functions of each transformer (trafo) based on the given information.
Transformer A
-
Primary Side (P):
- Voltage () = 100 V
- Current () = 1 A
- Power () = 100 W
-
Secondary Side (S):
- Voltage () = 200 V
- Current () = 0.5 A
- Power () = 100 W
Efficiency Calculation for Transformer A
Efficiency () is defined as: Since the output power () and input power () are both 100 W: So, the efficiency of Transformer A is 100%.
Function of Transformer A
Since the secondary voltage () is higher than the primary voltage (), Transformer A is a step-up transformer, meaning it increases the voltage from primary to secondary.
Transformer B
-
Primary Side (P):
- Voltage () = 150 V
- Current () = 0.3 A
- Power () = 50 W
-
Secondary Side (S):
- Voltage () = 50 V
- Current () = 1 A
- Power () = 50 W
Efficiency Calculation for Transformer B
Again, using the efficiency formula: With and : So, the efficiency of Transformer B is also 100%.
Function of Transformer B
Since the secondary voltage () is lower than the primary voltage (), Transformer B is a step-down transformer, meaning it decreases the voltage from primary to secondary.
Summary
- Transformer A:
- Efficiency: 100%
- Function: Step-up transformer
- Transformer B:
- Efficiency: 100%
- Function: Step-down transformer
Do you have any questions or need further details?
Additional Questions
- What would happen if the current in the primary side of Transformer A increased?
- Can we achieve efficiencies greater than 100% in practical transformers?
- How does transformer core material affect efficiency?
- What losses are typically observed in real-world transformers?
- How does a change in load affect the efficiency of a transformer?
Tip
Remember, the efficiency of an ideal transformer is considered 100%, but real-world transformers experience losses due to resistance, core losses, and leakage flux.
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Math Problem Analysis
Mathematical Concepts
Electrical Power
Transformer Efficiency
Voltage Transformation
Formulas
Efficiency formula: η = (P_output / P_input) × 100%
Power formula: P = V × I
Theorems
Transformer Efficiency
Suitable Grade Level
Grades 10-12
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