A non uniform magnetic field `B=B_(0)that"i"` in a region exists. A circular conducting loop of radius r and resistance R is placed with its plane in yz-plane. Determine the current through the loop and sense of the current.

Explanation

To solve the problem of determining the current through a circular conducting loop placed in a non-uniform magnetic field, we can follow these steps:

### Step-by-Step Solution:

1. **Understand the Magnetic Field**:
The magnetic field is given as \( \mathbf{B} = B_0 t \hat{i} \), where \( B_0 \) is a constant and \( t \) is time. This means that the magnetic field is increasing linearly with time in the positive x-direction.

2. **Identify the Area of the Loop**:
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