Question

Verify, as was concluded without proof in Example 23.7, that units of T⋅m2/A=Ω⋅s=H.

a) True

b) False

Answer 1

True, the units of Tesla times square meters per ampere (T·m²/A) are equivalent to Ohm seconds (Ω·s) and Henries (H), as they all represent the unit of inductance in electromagnetic theory.

Step-by-step explanation:

The question asks to verify if the units of Tesla times square meters per ampere (T·m²/A) are equivalent to Ohm seconds (Ω·s) and Henries (H). This is a unit conversion verification within the context of physics, specifically electromagnetic theory.

The units of inductance (H) can be expressed as Ω·s because the definition of inductance is the induced voltage per unit rate of change of current, and voltage divided by the rate of change of current (amps per second) gives dimensions of resistance (Ω) times time (s).

Additionally, the unit of magnetic flux is Tesla times square meter (T·m²), and since magnetic flux divided by current (A) gives the unit of inductance, the equivalence T·m²/A = Ω·s = H is confirmed to be true.