A square loop of side 12 cm with its sides parallel to X and Y axes is moved with a velocity of 8 cm `s^(-1)` in the positive x-direction in an environment containing a magnetic field in the positive z-direction. The field is neither uniform in space nor constant in time. It has a gradient of `10^(-3) T cm^(-1)` along the negative x-direction (that is it increases by `10^(-3) T cm^(-1 )`as one moves in the negative x-direction), and it is decreasing in time at the rate of `10^(-3) T s^(-1)`. Determine the direction and magnitude of the induced current in the loop if its resistance is 4.50 `mOmega`.

Explanation

To solve the problem step by step, we need to analyze the situation involving the square loop, the magnetic field, and the induced current.

### Step 1: Convert all measurements to SI units
- The side of the square loop is given as 12 cm.
\[ S = 12 \, \text{cm} = 0.12 \, \text{m} \]
- The area \( A \) of the square loop is:
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