Step 1: Core materials in transformers.
Soft iron is used in transformer cores because it has low coercivity and low retentivity, meaning it can easily magnetize and demagnetize without retaining a significant magnetic field after the current is switched off.
Step 2: Analyzing the options.
- (1) low coercivity and low retentivity: Correct. Soft iron is ideal for transformers because it easily magnetizes and demagnetizes.
- (2) low coercivity and high retentivity: Incorrect. High retentivity would cause the core to retain magnetic properties, which is undesirable in transformer operation.
- (3) high coercivity and high retentivity: Incorrect. High coercivity is characteristic of hard magnetic materials, which do not easily demagnetize.
- (4) high coercivity and low retentivity: Incorrect. This combination is not ideal for transformer cores.
Step 3: Conclusion.
Soft iron is used for its low coercivity and low retentivity, corresponding to option (1).