Question

What is the minimum resistance of the system if a large superconducting magnet used for magnetic resonance imaging has a 50.0 H inductance, and you want the current through it to be adjustable with a 1.00 s characteristic time constant?

a) 50.0 Ω
b) 36.8 Ω
c) 69.3 Ω
d) 25.0 Ω

Answer 1

The minimum resistance of the system is 50.0 Ω.

Step-by-step explanation:

To determine the minimum resistance of the system, we can use the formula:

R = L / τ

where R is the resistance, L is the inductance, and τ is the time constant.

Given that the inductance of the superconducting magnet is 50.0 H and the desired time constant is 1.00 s, we can substitute these values into the formula to find the minimum resistance:

R = 50.0 H / 1.00 s = 50.0 Ω

Therefore, the minimum resistance of the system is 50.0 Ω (option a).