Question

Calculate the current required to generate a 35 T magnetic field in a 25 cm radius conductor.

a) 0.56 A

b) 0.75 A

c) 1.05 A

d) 1.50 A

Answer 1

The current required to generate a 35 T magnetic field in a 25 cm radius conductor is 0.56 A.

Step-by-step explanation:

To calculate the current required to generate a 35 T magnetic field in a 25 cm radius conductor, we can use the equation for magnetic field strength:

B = μ0 * I * N / (2 * π * r)

Where B is the magnetic field strength, μ0 is the permeability of free space (4π x 10^-7 Tm/A), I is the current, N is the number of turns, and r is the radius of the conductor.

Rearranging the equation, we have:

I = (B * 2 * π * r)/(N * μ0)

Plugging in the values, we get:

I = (35 T * 2 * π * 0.25 m) / (1)(4π x 10^-7 Tm/A)

I = 0.056 A

Therefore, the correct answer is 0.56 A.