🔍 Key Concepts

• Inductance of a coil and what physical factors affect it (number of turns, core material, coil dimensions) • Mathematical relationship between inductance and number of turns (N) in basic electromagnetic theory • How changing N (doubling, tripling) affects inductance in an ideal solenoid

💭 Think About

• If you double the number of turns on an ideal coil, how should the inductance change if it is proportional to N, N², or √N? Try each case with simple numbers. • Think about the magnetic field and flux linkage in a coil: when you add more turns, what happens to the total flux linkage per unit current? • Consider whether a single, clear mathematical relationship is typically used in basic formulas for inductance vs. number of turns, or if multiple relationships are combined.

✅ Before You Answer

• Recall or look up the basic formula for the inductance of an ideal solenoid and identify how N (number of turns) appears in that formula. • Test the relationship by picking N = 10 turns and N = 20 turns and comparing the change in inductance for ‘∝ N²’ vs. ‘∝ √N’. • Verify whether exam questions about inductance usually expect one dominant proportionality with respect to the number of turns, assuming all other factors stay constant.