Use the Following to Answer the Next Two Questions $\theta$ = 30

Multiple Choice

Use the following to answer the next two questions:
-A coil of radius R = 5 cm lies inside a long solenoid which carries a current I₁ = 10 A and has 800 turns/m.The coil carries a current I₂ = 4 A and the normal of the plane of the coil is at an angle $\theta$ = 30 ^$\circ$ with the axis of the solenoid.The magnetic field produced by the solenoid at the center is ____ times greater than the magnetic field by the coil at the center.

A) 100
B) 200
C) 1000
D) 2000
E) 8000