Math Problem Statement

Tentukan masing masing Efisiensi dan fungsi dari trafo A dan trafo B

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

  1. Primary Side (P):

    • Voltage (VpV_p) = 100 V
    • Current (IpI_p) = 1 A
    • Power (PpP_p) = 100 W
  2. Secondary Side (S):

    • Voltage (VsV_s) = 200 V
    • Current (IsI_s) = 0.5 A
    • Power (PsP_s) = 100 W

Efficiency Calculation for Transformer A

Efficiency (η\eta) is defined as: η=PoutputPinput×100%\eta = \frac{P_{\text{output}}}{P_{\text{input}}} \times 100\% Since the output power (PsP_s) and input power (PpP_p) are both 100 W: η=100100×100%=100%\eta = \frac{100}{100} \times 100\% = 100\% So, the efficiency of Transformer A is 100%.

Function of Transformer A

Since the secondary voltage (VsV_s) is higher than the primary voltage (VpV_p), Transformer A is a step-up transformer, meaning it increases the voltage from primary to secondary.


Transformer B

  1. Primary Side (P):

    • Voltage (VpV_p) = 150 V
    • Current (IpI_p) = 0.3 A
    • Power (PpP_p) = 50 W
  2. Secondary Side (S):

    • Voltage (VsV_s) = 50 V
    • Current (IsI_s) = 1 A
    • Power (PsP_s) = 50 W

Efficiency Calculation for Transformer B

Again, using the efficiency formula: η=PoutputPinput×100%\eta = \frac{P_{\text{output}}}{P_{\text{input}}} \times 100\% With Ps=50WP_s = 50 \, \text{W} and Pp=50WP_p = 50 \, \text{W}: η=5050×100%=100%\eta = \frac{50}{50} \times 100\% = 100\% So, the efficiency of Transformer B is also 100%.

Function of Transformer B

Since the secondary voltage (VsV_s) is lower than the primary voltage (VpV_p), 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

  1. What would happen if the current in the primary side of Transformer A increased?
  2. Can we achieve efficiencies greater than 100% in practical transformers?
  3. How does transformer core material affect efficiency?
  4. What losses are typically observed in real-world transformers?
  5. 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