Question

To enhance the magnetic field in an MRI, iron is utilized to increase the coil's strength. Calculate the current needed in a 400-loop-per-meter circular coil with a radius of 0.660 m to create a 1.20-T field at its center with no iron present.

a) 2.39 × 104 A
b) 5.76 x 104 A
c) 1.92 x 103 A
d) 4.60 × 103 A

Answer 1

The current needed in the coil to create the desired magnetic field is 5.76 x 10^4 A.

Step-by-step explanation:

To calculate the current needed in a 400-loop-per-meter circular coil with a radius of 0.660 m to create a 1.20-T magnetic field at its center with no iron present, we can use the formula:

B = μ0 * (n * I)

Where B is the magnetic field, μ0 is the permeability of free space, n is the number of loops per meter, and I is the current. Rearranging the formula to solve for I:

I = B / (μ0 * n)

Plugging in the values into the formula:

I = (1.20 T) / (4π*10-7 T*m/A * 400 1/m) = 5.76 x 104 A

Therefore, the current needed in the coil is 5.76 x 104 A.