In a uniform magnetic field, a `pi` shaped metal frame is located perpendicular to the plane of the conductor and varying with time at the rate `(dB//dt)=0.20T//s`. A conducting connector starts moving with an acceleration `a=30cm//s^(2)` along the parallel bars of the frame. The length of the connector is equal to l = 44 cm. Find the emf induced in the loop t = 1 s after the beginning of the motion, if at the moment t = 0, the loop area and the magnetic induction are equal to zero.

Explanation

To find the induced EMF in the loop at \( t = 1 \) second, we will follow these steps:

### Step 1: Determine the displacement of the connector
The connector starts from rest and moves with a constant acceleration \( a = 30 \, \text{cm/s}^2 = 0.3 \, \text{m/s}^2 \). The displacement \( x \) after time \( t \) can be calculated using the equation of motion:
\[ x = ut + \frac{1}{2} a t^2 \]
Since the initial velocity \( u = 0 \):
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