Calculate the theoretical value for the magnetic field at the centre of the two coils. Then compare (with % error) these values with the given measured values.

Voltage Current Magnetic Field Value 9 mT 15 0.846 0.0023747 14 0.788 0.0021927 13 0.732 0.0020314 12 0.675 0.0018683 11 0.618 0.0017099 10 0.562 0.0015559 9 0.505 0.0013981 8 0.449 0.0012283 0.392 0.0010835 6 0.336 0.00092913 5 0.279 0.00076754For two coils, the total magnetic field is the sum of the magnetic fields from each of the coils. This is represented by the following equation: B = B1+ B2 = HONIR2 * + HONIR (2) 2( 4 +x + R2) 7 where d = coil separation. Regarding Helmholtz coils, the coil separation equals the radius of the coils. This coil separation gives a uniform magnetic field between the coils. Plugging in x = 0 gives the magnetic field at a point on the x-axis centered between the two coils. This is represented by the following equation: B = 8HONI V125R * (3) where R = radius.Relationship between the position (m) and the magnetic field (T) when the separation of Helmholtz coils is equal to the radius 0.002 p 8 5 0.001 Magnetic Field (T) 53' U1 0 0 .15 {3.1 {3.05 D U. 05 0.1 U. 15 0.2 0.25 U. 3 Position (m) Relationship between position (m) and the magnetic field (T) when separation of Helmholtz coils is equal to 1.5 times the radius 1.60 E-03 1.40E-03 Outline .20E-03 1.00 E-03 8.00E-04 Magnetic Fie 6.00E-04 4.00 E-04 2.00 E-04 0.00 E+00 -0.15 -0.1 -0.05 0.05 0.1 0.15 0.2 0.25 0.3 Position (m)Relationship between position (m) and the magnetic field (T) when separation of Helmhlotz coils is equal to half the radius 0.0025 0.002 0.00 15 Magnetic Field (T) 0.001 0.00 05 0 -1.50E-01-1.00E-01-5.00E-020.00E+00 5.00E-02 1.00E-01 1.50E-01 2.00E-01 2.50E-01 Position (m)