A toroidal inductor with an inductance of 90 mH encloses a volume of 0.0200 `m^(3)`. If the average energy density in the toroid is 70.0 J/`m^(3)`, what is the current through the inductor?

Explanation

To solve the problem of finding the current through a toroidal inductor given its inductance, volume, and average energy density, we can follow these steps:

### Step-by-Step Solution:

1. **Identify Given Values:**
- Inductance, \( L = 90 \, \text{mH} = 90 \times 10^{-3} \, \text{H} \)
- Volume, \( V = 0.0200 \, \text{m}^3 \)
- Average energy density, \( u_B = 70.0 \, \text{J/m}^3 \)
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