The Biot-Savart law can be considered a mathematical analogue of which law in electrostatics, or related closely to which law of electromagnetism for current elements?

Consider two wire arrangements carrying equal current I: Arrangement 1 consists of a semi-circular arc of radius R and two straight infinite wire segments extending along its tangent. Arrangement 2 consists of a semi-circular arc of radius R with two radial straight wires extending to infinity. The ratio of the magnetic field at the center of the semi-circular part in Arrangement 1 to that in Arrangement 2 is:

The magnetic field produced inside a long current-carrying solenoid is: