Electromagnetic Induction

We are given: current I=4mA=4×10−3A and flux φ=32×10−6Tm2.
Step 1: Find the inductance ( L ).
The relationship between flux, inductance, and current is φ=LI.
So, L=‌

φ

I

=‌

32×10−6

4×10−3

=8×10−3H.
Step 2: Find the energy stored in the inductor.
The formula for energy stored is E=‌

1

2

LI2.
Plug in the values: E=‌

1

2

×8×10−3×(4×10−3)2.
Calculate the value: E=64×10−9J.