1. A circular loop of radius a sits on top of a long ideal solenoid of radius a with n turns per unit length. The axes of the the loop and the solenoid are displaced relative to each other by a distance D. (In Fig. 1, the illustrated distance is D ~ a.) Main SPEC problem: Derive a formula for the mutual inductance when 0 2a. Sketch field lines that illustrate why this is so for this case. (Do NOT calculate the mutual inductance!)! 'Hint: Neglect the effect that causes this contribution to the mutual inductance in your answer to the main question. Side view s Top view Figure 1: Loop on solenoid