00:01
Hello students, we are given the question, a conducting rectangular solid of dimension, dx is equal to 5 meter, d .y is equal to 3 meter and dz is equal to 2 meter.
00:12
Moves with a constant velocity, v is equal to 20 meters per second, i -cap through a uniform magnetic field, b is equal to 30 milly tesla j -cap.
00:23
We have to find what are the resulting.
00:25
Number one, electric field within the solid in a unit vector notation and be potential difference across the solid.
00:32
Now students first of all we will find the electric field within the solid.
00:37
Now we know that there will be the force due to magnetic field as well as electric field and these forces will be equal so we will equate the forces.
00:48
Now we know that force due to electric field can be written as this will be equal to charge on an electron multiplied by electric field and force due to magnetic field will be equal to e charge vd whose values is given and magnetic field v.
01:14
Now we will equate these both.
01:18
From here we get we get e multiplied by e is equal to e vd b.
01:29
Now from here we can cancel e and e and e and we will get the magnitude of electric field that will be equal to vd and magnetic field of magnitude of magnetic field and we can write vd as v here...